{"id":74190,"date":"2023-06-30T12:15:19","date_gmt":"2023-06-30T12:15:19","guid":{"rendered":"https:\/\/www.simscale.com\/?page_id=74190"},"modified":"2025-07-09T08:17:43","modified_gmt":"2025-07-09T08:17:43","slug":"nonlinear-structural-analysis","status":"publish","type":"page","link":"https:\/\/www.simscale.com\/simulations\/nonlinear-structural-analysis\/","title":{"rendered":"Nonlinear Structural Analysis"},"content":{"rendered":"<div class=\"hw-section hw-section--largeSpacing hw-genericPageTitle hw-genericPageTitle--background\">\n    <img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/06\/pexels-ben-mack-5707614-1-1024x683.jpg\" class=\"hw-genericPageTitle__image-background\" alt=\"Bridge with trusses\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/06\/pexels-ben-mack-5707614-1-1024x683.jpg 1024w, https:\/\/frontend-assets.simscale.com\/media\/2023\/06\/pexels-ben-mack-5707614-1-300x200.jpg 300w, https:\/\/frontend-assets.simscale.com\/media\/2023\/06\/pexels-ben-mack-5707614-1-768x512.jpg 768w, https:\/\/frontend-assets.simscale.com\/media\/2023\/06\/pexels-ben-mack-5707614-1-1536x1025.jpg 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/>  \n    <div class=\"hw-contentWrap\">\n\n    \n\n\n<h1 class=\"wp-block-heading has-text-align-center\">Nonlinear Structural Analysis Simulations<\/h1>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">Optimize structural designs with changing stiffness using cloud-native FEA simulation.<\/p>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignCenter \">\n    <a href=\"\/request-demo\/\" class=\"hw-btn  hw-btn--green  \"     >\n        Request Demo    <\/a>\n<\/div>\n\n\n\n    <\/div>\n<\/div>\n\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--noTopPadding hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n\n<div class=\"wp-block-columns alignwide is-style-imgDropShadow is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h3 class=\"wp-block-heading\">Cloud-Native FEA for Nonlinear Structural Analysis<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In static structural applications, the stiffness of a structure may change under loading. That&#8217;s where nonlinear static analysis comes into play. Using simulation, you can run multiple analyses with incremental loads to account for the change in stiffness, whether it is due to large structural deformation, plastic material behavior, or changes in physical contacts.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Simulation helps determine your structure&#8217;s behavior and kinematics using Finite Element Analysis (FEA), a numerical solution that enables engineers and designers to study structural aspects, such as stress, displacement, and more. Nonlinear analysis is available for static, heat transfer, and thermomechanical analysis types, covering all aspects of a nonlinear relationship between the load and the displacement response.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">With SimScale, you can leverage cloud computing to quickly and efficiently analyze your design&#8217;s behavior, ultimately speeding up the iterative structural design process as a whole.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Using cloud-native simulation, you can:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Run multiple simulations in parallel<\/strong><\/li>\n\n\n\n<li><strong>Simulate FEA applications autonomously and simultaneously<\/strong><\/li>\n\n\n\n<li><strong>Run simulations quickly with an easy-to-learn interface<\/strong><\/li>\n\n\n\n<li><strong>Avoid manual updates, installation, maintenance, and any related fees<\/strong><\/li>\n<\/ul>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignLeft \">\n    <a href=\"https:\/\/www.simscale.com\/product\/structural-mechanics\/\" class=\"hw-btn  hw-btn--secondary  \"     >\n        Check Structural Analysis Simulation    <\/a>\n<\/div>\n\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/01\/auto-push.png\"><img loading=\"lazy\" decoding=\"async\" width=\"703\" height=\"810\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/01\/auto-push.png\" alt=\"auto-push\" class=\"wp-image-63023\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/01\/auto-push.png 703w, https:\/\/frontend-assets.simscale.com\/media\/2023\/01\/auto-push-260x300.png 260w\" sizes=\"auto, (max-width: 703px) 100vw, 703px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--lightBlue\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">NEW: Nonlinear Structural Analysis with Hexagon and SimScale<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Access Hexagon\u2019s Marc\u2122 nonlinear finite element solver through SimScale\u2019s intuitive, cloud-based platform. Engineering teams can now use SimScale to perform advanced nonlinear analysis effortlessly, from manufacturing simulations to failure predictions. Use Marc\u2122 on SimScale to empower innovation, streamline collaboration, and make smarter decisions earlier in the design process.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Key Benefits<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Powerful Capabilities: <\/strong>Solve challenges like large deformations, complex contact, and material nonlinearities.<\/li>\n\n\n\n<li><strong>Cloud-Native Simplicity:<\/strong> Access advanced analysis anytime, anywhere\u2014no installations needed.<\/li>\n\n\n\n<li><strong>Collaborate with Ease:<\/strong> Empower multidisciplinary teams to share insights and iterate faster.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Elevate your nonlinear structural analysis with SimScale and Hexagon\u2019s Marc\u2122 solver.<\/p>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignLeft \">\n    <a href=\"\/request-demo\/\" class=\"hw-btn  hw-btn--green  \"     >\n        Request a Demo    <\/a>\n<\/div>\n\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02.webp\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"660\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02-1024x660.webp\" alt=\"Simulation image in a browser with SImScale and Hexagon's logos showing the new product partnership\" class=\"wp-image-97762\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02-1024x660.webp 1024w, https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02-300x193.webp 300w, https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02-768x495.webp 768w, https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02-1536x990.webp 1536w, https:\/\/frontend-assets.simscale.com\/media\/2024\/11\/hexagon-press-release-image-02.webp 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-video\"><video height=\"1080\" style=\"aspect-ratio: 1440 \/ 1080;\" width=\"1440\" autoplay loop muted preload=\"none\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/clip-nonlinear-analysis-02.mp4\" playsinline><\/video><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Why Do We Need Nonlinear Analysis?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Nonlinear analysis enables users to truly understand and optimize product performance. Whether the problem is a part failure or poor usability, nonlinear analysis helps detect issues early on with simulation, disqualifying poor design concepts upfront and focusing on high-potential ideas that increase productivity.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Using SimScale\u2019s nonlinear analysis tools, you can:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Reduce costs associated with physical testing<\/strong><\/li>\n\n\n\n<li><strong>Accelerate design cycles and minimize time to market:<\/strong> Less time- and resource-intensive physical prototyping<\/li>\n\n\n\n<li><strong>Understand product behavior in detail<\/strong><\/li>\n\n\n\n<li><strong>Optimize product performance before physical prototyping and testing<\/strong><\/li>\n\n\n\n<li><strong>Perform trend analysis: <\/strong>Explore a design space before the physical prototyping phase.<\/li>\n\n\n\n<li><strong>Spark and increase innovation:<\/strong> Simulation can trigger new ideas.<\/li>\n<\/ul>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignLeft \">\n    <a href=\"https:\/\/www.simscale.com\/knowledge-base\/when-do-i-need-a-nonlinear-static-analysis\/\" class=\"hw-btn  hw-btn--secondary  \"     >\n        When is Nonlinear Analysis Needed?    <\/a>\n<\/div>\n\n<\/div>\n<\/div>\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">A Deeper Look Into Nonlinear Analysis and Its Applications<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Nonlinear analysis describes the behavior of a structure when the relation between the applied forces and the structure&#8217;s displacement response is nonlinear, represented in changing stiffness values.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Using such analysis, you can study the following products:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fastening and sealing components\n<ul class=\"wp-block-list\">\n<li>Plastic clips<\/li>\n\n\n\n<li>Rubber seals<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Joints\n<ul class=\"wp-block-list\">\n<li>Bolted connections<\/li>\n\n\n\n<li>Shaft and bearing connections<\/li>\n\n\n\n<li>Brackets<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>EV charging plugs<\/li>\n\n\n\n<li>Oil separators<\/li>\n\n\n\n<li>Pressure vessels<\/li>\n\n\n\n<li>Turbocharger manifolds<\/li>\n\n\n\n<li>Combustion chambers<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Nonlinear analysis solutions cover nonlinear contacts, nonlinear materials (elastoplastic and hyperelastic), temperature-dependent properties, thermomechanical interactions, and bolt preload. They enable engineers and designers to make informed design decisions and optimize their product performance early in the design process.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/rotor-shaft-interaction-nonlinear-analysis.png\"><img loading=\"lazy\" decoding=\"async\" width=\"669\" height=\"610\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/rotor-shaft-interaction-nonlinear-analysis.png\" alt=\"Nonlinear analysis of a rotor-shaft interaction\" class=\"wp-image-74484\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/rotor-shaft-interaction-nonlinear-analysis.png 669w, https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/rotor-shaft-interaction-nonlinear-analysis-300x274.png 300w\" sizes=\"auto, (max-width: 669px) 100vw, 669px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--lightBlue hw-section--cta\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textCenter\">\n        \n        \n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Want to run a nonlinear analysis of your own?<\/h2>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignCenter \">\n    <a href=\"\/signup\/\" class=\"hw-btn  hw-btn--green hw-btn--large \"     >\n        Simulate Now    <\/a>\n<\/div>\n\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--noBottomPadding hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n<div class=\"hw-grid hw-grid--referenceHeader\">\n    \n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"hw-miniHeading wp-block-paragraph\">Customer Success<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><a href=\"https:\/\/www.simscale.com\/customers\/itw-accelerates-development-fastening-components\/\"  rel=\" noopener\">ITW Accelerates the Development of Fastening Components<\/a><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">ITW, a global design &amp; engineering firm, uses nonlinear static simulation and analysis to accelerate the development of plastic automotive fastening components. With SimScale, they reduced 10% of their R&amp;D costs and 85% of insertion force.<\/p>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"324\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/03\/reference-image-itw.jpg\" alt=\"ITW reduced 10% of their R&amp;D costs and 85% of insertion force.\" class=\"wp-image-68740\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/03\/reference-image-itw.jpg 604w, https:\/\/frontend-assets.simscale.com\/media\/2023\/03\/reference-image-itw-300x161.jpg 300w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/figure>\n\n\n<\/div>\n\n<div class=\"hw-grid hw-cardGrid--small hw-grid--cards\">\n    \n\n        <div class=\"hw-card\" data-type=\"machinery-&amp;-industrial-equipment\" data-title=\"Techtree Engineering Ltd.\u00a0Improved Their Competitive Edge Through Online Simulation From SimScale\">\n\n            <a class=\"hw-card__top\" href=\"https:\/\/www.simscale.com\/customers\/techtree-engineering-ltd\/\">\n\n                            <img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"125\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/techtree-header-1498-622-300x125.png\" class=\"hw-card__topImage\" alt=\"techtree header 1498 622\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/techtree-header-1498-622-300x125.png 300w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/techtree-header-1498-622-768x319.png 768w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/techtree-header-1498-622-1024x425.png 1024w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/techtree-header-1498-622.png 1498w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>    \n                                    <h4 class=\"hw-card__topTitle\">Techtree Engineering Ltd.\u00a0Improved Their Competitive Edge Through Online Simulation From SimScale<\/h4>\n                \n            <\/a>\n\n            \n                <div class=\"hw-card__body\">\n\n                                <img loading=\"lazy\" decoding=\"async\" width=\"100\" height=\"100\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/techtree_engineering_logo_small.png\" class=\"hw-card__logo\" alt=\"\" \/>    \n                    <div class=\"hw-card__categories\"><span class=\"hw-category-item\" data-type=\"machinery-&#038;-industrial-equipment\">Machinery &#038; Industrial Equipment<\/span><\/div>\n                <\/div>\n\n            \n        <\/div>\n\n\n        <div class=\"hw-card\" data-type=\"machinery-&amp;-industrial-equipment\" data-title=\"Spearpoint Engineering\u00a0Relies on Cloud-Based Simulation from SimScale\">\n\n            <a class=\"hw-card__top\" href=\"https:\/\/www.simscale.com\/customers\/spearpoint-engineering\/\">\n\n                            <img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"169\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2020\/05\/unnamed-300x169.gif\" class=\"hw-card__topImage\" alt=\"spearpoint eningeering\" \/>    \n                                    <h4 class=\"hw-card__topTitle\">Spearpoint Engineering\u00a0Relies on Cloud-Based Simulation from SimScale<\/h4>\n                \n            <\/a>\n\n            \n                <div class=\"hw-card__body\">\n\n                                <img loading=\"lazy\" decoding=\"async\" width=\"247\" height=\"100\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/spearpoint_engineering_logo_small.png\" class=\"hw-card__logo\" alt=\"\" \/>    \n                    <div class=\"hw-card__categories\"><span class=\"hw-category-item\" data-type=\"machinery-&#038;-industrial-equipment\">Machinery &#038; Industrial Equipment<\/span><\/div>\n                <\/div>\n\n            \n        <\/div>\n\n\n        <div class=\"hw-card\" data-type=\"life-science-&amp;-healthcare\" data-title=\"Withings \u2014 Simulation Saves Lives\">\n\n            <a class=\"hw-card__top\" href=\"https:\/\/www.simscale.com\/customers\/withings-simulation-saves-lives\/\">\n\n                            <img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"208\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2022\/01\/202201-WithingsCustomer_Featured_1107x768-300x208.jpg\" class=\"hw-card__topImage\" alt=\"withings webinar\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2022\/01\/202201-WithingsCustomer_Featured_1107x768-300x208.jpg 300w, https:\/\/frontend-assets.simscale.com\/media\/2022\/01\/202201-WithingsCustomer_Featured_1107x768-1024x710.jpg 1024w, https:\/\/frontend-assets.simscale.com\/media\/2022\/01\/202201-WithingsCustomer_Featured_1107x768-768x533.jpg 768w, https:\/\/frontend-assets.simscale.com\/media\/2022\/01\/202201-WithingsCustomer_Featured_1107x768.jpg 1107w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>    \n                                    <h4 class=\"hw-card__topTitle\">Withings \u2014 Simulation Saves Lives<\/h4>\n                \n            <\/a>\n\n            \n                <div class=\"hw-card__body\">\n\n                                <img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"39\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/07\/withings_logo_small.svg\" class=\"hw-card__logo\" alt=\"\" \/>    \n                    <div class=\"hw-card__categories\"><span class=\"hw-category-item\" data-type=\"life-science-&#038;-healthcare\">Life Sciences &#038; Healthcare<\/span><\/div>\n                <\/div>\n\n            \n        <\/div>\n\n\n\n\n<div class=\"hw-card hw-card--noBorder hw-card--topRight hw-card--col-1\">\n\n    <div class=\"hw-card__body flex-justify-content-center\">\n\n                    <h4 class=\"hw-card__title hw-card__title--large\">Related Success Stories<\/h4>\n        \n                    <p class=\"hw-card__text hw-card__text--large\">Check out all the success stories of our customers with structural analysis, including TechSAT, B\u00d6HME, Anybotics, and more.<\/p>\n        \n            <a class=\"hw-btn hw-btn--secondary hw-btn--small\" href=\"\/customers\/\" >See All Stories<\/a>\n\n    <\/div>\n\n<\/div>\n\n<\/div>\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Validation Cases<\/h2>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">Check out the latest nonlinear simulations performed in SimScale and validated against experimental and\/or analytical results.<\/p>\n\n\n\n<div class=\"hw-tutorialsCardList hw-tutorialsCardList__2perRow\">\n\n    \n            <div class=\"com-projectCard\">\n                <div class=\"com-projectCard__thumb\">\n                    <a href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/flange-under-bolt-preload\/\" target='blank'>\n                        <div class=\"com-projectCard__thumbOverlay\">\n                            <span class=\"com-projectCard__thumbOverlayText\">View Tutorial<\/span>\n                        <\/div>\n                        <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2023\/02\/image-10-368x250.png\" class=\"com-projectCard__thumbImg\" alt=\"stress contours developed due to bolt preload flange\" \/>                    <\/a>\n                <\/div>\n                <div class=\"com-projectCard__body\">\n                    <p class=\"com-projectCard__title\"><a\n                                href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/flange-under-bolt-preload\/\" target='blank'>Flange Under Bolt Preload<\/a><\/p>\n                <\/div>\n                            <\/div>\n        \n            <div class=\"com-projectCard\">\n                <div class=\"com-projectCard__thumb\">\n                    <a href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/hertzian-contact-between-two-spheres\/\" target='blank'>\n                        <div class=\"com-projectCard__thumbOverlay\">\n                            <span class=\"com-projectCard__thumbOverlayText\">View Tutorial<\/span>\n                        <\/div>\n                        <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2020\/07\/Case-A-Penalty-Contact-Results-368x250.png\" class=\"com-projectCard__thumbImg\" alt=\"Case-A-Penalty-Contact-Results\" \/>                    <\/a>\n                <\/div>\n                <div class=\"com-projectCard__body\">\n                    <p class=\"com-projectCard__title\"><a\n                                href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/hertzian-contact-between-two-spheres\/\" target='blank'>Hertzian Contact Between Two Spheres<\/a><\/p>\n                <\/div>\n                            <\/div>\n        \n            <div class=\"com-projectCard\">\n                <div class=\"com-projectCard__thumb\">\n                    <a href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/hyperelastic-equibiaxial-tension-test\/\" target='blank'>\n                        <div class=\"com-projectCard__thumbOverlay\">\n                            <span class=\"com-projectCard__thumbOverlayText\">View Tutorial<\/span>\n                        <\/div>\n                        <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2021\/07\/image-2-368x250.png\" class=\"com-projectCard__thumbImg\" alt=\"\" \/>                    <\/a>\n                <\/div>\n                <div class=\"com-projectCard__body\">\n                    <p class=\"com-projectCard__title\"><a\n                                href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/hyperelastic-equibiaxial-tension-test\/\" target='blank'>Hyperelastic Equibiaxial Tension Test<\/a><\/p>\n                <\/div>\n                            <\/div>\n        \n            <div class=\"com-projectCard\">\n                <div class=\"com-projectCard__thumb\">\n                    <a href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/follower-pressure\/\" target='blank'>\n                        <div class=\"com-projectCard__thumbOverlay\">\n                            <span class=\"com-projectCard__thumbOverlayText\">View Tutorial<\/span>\n                        <\/div>\n                        <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2020\/08\/2020-08-20_15-26-16-368x250.jpg\" class=\"com-projectCard__thumbImg\" alt=\"follower pressure displacement contours\" \/>                    <\/a>\n                <\/div>\n                <div class=\"com-projectCard__body\">\n                    <p class=\"com-projectCard__title\"><a\n                                href=\"https:\/\/www.simscale.com\/docs\/validation-cases\/follower-pressure\/\" target='blank'>Cantilever Plate Under Follower Pressure<\/a><\/p>\n                <\/div>\n                            <\/div>\n            \n<\/div>\n\n\n\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignCenter \">\n    <a href=\"\/docs\/validation-cases\/\" class=\"hw-btn  hw-btn--secondary  \"     >\n        More Validation Cases    <\/a>\n<\/div>\n\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--noTopPadding hw-section--mediumBottomPadding hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--narrowWidth hw-textCenter\">\n        \n        \n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Nonlinear Analysis Resources <\/h2>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">Your hub for everything about nonlinear analyses. Check out our <a href=\"https:\/\/www.simscale.com\/docs\/\"  rel=\" noopener\">technical documentation<\/a> section to learn about how to set up a nonlinear analysis simulation.<\/p>\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--noTopPadding hw-section--noBottomPadding hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n            \n<div class=\"hw-blogPostBlock\">\n    <div class=\"hw-blogCardLayout\">\n        \n            <div class=\"hw-blogCard\">\n                <a class=\"hw-blogCard__top\" href=\"https:\/\/www.simscale.com\/blog\/nonlinear-static-analysis-snap-fit-assembly\/\"\n                aria-label=\"Read article Nonlinear Static Analysis: Snap-Fit Assembly\">\n                                            <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2022\/03\/nonlinear-static-analysis-feature-368x250.jpg\" class=\"hw-blogCardImage wp-post-image\" alt=\"nonlinear static analysis\" \/>                                        <h4 class=\"hw-blogCard__title\">Nonlinear Static Analysis: Snap-Fit Assembly<\/h4>\n\n                    <div class=\"hw-blogCard__tagItems\">\n    <span class=\"hw-blogCard__tagItem\">Stress &amp; Strain<\/span><span class=\"hw-blogCard__tagItem\">Structural Engineering<\/span><\/div>\n                <\/a>\n                <div class=\"hw-blogCard__bottom\">\n                    <div class=\"hw-blogCard__author\">\n                        <a href=\"https:\/\/www.simscale.com\/blog\/author\/nozturk\/\">\n                            <img decoding=\"async\" class=\"hw-blogCard__authorImg\" src=\"https:\/\/secure.gravatar.com\/avatar\/9a833580293e1fd99de76b69764143baa1c0dee9e9b1b6aa4f30b21a5a176e9d?s=96&#038;d=mm&#038;r=g\" alt=\"Nur Ozturk\" loading=\"lazy\" width=\"43\" height=\"43\">\n                        <\/a>\n                        <div class=\"hw-blogCard__authorCol2\">\n                            <a href=\"https:\/\/www.simscale.com\/blog\/author\/nozturk\/\"\n                            class=\"hw-blogCard__authorName\"\n                            aria-label=\"Find more articles written by Nur Ozturk\">Nur Ozturk<\/a>\n                            <span class=\"hw-blogCard__date\">March 4, 2022<\/span>\n                        <\/div>\n                    <\/div>\n                    <div class=\"hw-blogCard__readTime\">\n                        <span class=\"hw-blogCard__readTimeTitle\">Read Time<\/span>\n                        <span class=\"hw-blogCard__readTimeAmount\">7 Minutes<\/span>\n                    <\/div>\n                <\/div>\n            <\/div>\n\n        \n            <div class=\"hw-blogCard\">\n                <a class=\"hw-blogCard__top\" href=\"https:\/\/www.simscale.com\/blog\/fea-structural-analysis\/\"\n                aria-label=\"Read article Structural Analysis With Non-Linear Materials in FEA\">\n                                            <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/non-linear-fea-combustion-chamber-368x250.png\" class=\"hw-blogCardImage wp-post-image\" alt=\"nonlinear structural analysis shows stress on combustion chamber\" srcset=\"https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/non-linear-fea-combustion-chamber-368x250.png 368w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/non-linear-fea-combustion-chamber-300x204.png 300w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/non-linear-fea-combustion-chamber-768x522.png 768w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/non-linear-fea-combustion-chamber-1024x696.png 1024w, https:\/\/frontend-assets.simscale.com\/media\/2019\/09\/non-linear-fea-combustion-chamber.png 1104w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/>                                        <h4 class=\"hw-blogCard__title\">Structural Analysis With Non-Linear Materials in FEA<\/h4>\n\n                    <div class=\"hw-blogCard__tagItems\">\n    <span class=\"hw-blogCard__tagItem\">Finite Element Analysis (FEA)<\/span><span class=\"hw-blogCard__tagItem\">Stress &amp; Strain<\/span><span class=\"hw-blogCard__tagItem\">Thermal Analysis<\/span><span class=\"hw-blogCard__tagItem\">Thermodynamics<\/span><\/div>\n                <\/a>\n                <div class=\"hw-blogCard__bottom\">\n                    <div class=\"hw-blogCard__author\">\n                        <a href=\"https:\/\/www.simscale.com\/blog\/author\/aislingfhughes\/\">\n                            <img decoding=\"async\" class=\"hw-blogCard__authorImg\" src=\"https:\/\/secure.gravatar.com\/avatar\/eccaa3e56237836282ce19c005add597857ccba24b9686367f19c4b13ee5104d?s=96&#038;d=mm&#038;r=g\" alt=\"Aisling Hughes\" loading=\"lazy\" width=\"43\" height=\"43\">\n                        <\/a>\n                        <div class=\"hw-blogCard__authorCol2\">\n                            <a href=\"https:\/\/www.simscale.com\/blog\/author\/aislingfhughes\/\"\n                            class=\"hw-blogCard__authorName\"\n                            aria-label=\"Find more articles written by Aisling Hughes\">Aisling Hughes<\/a>\n                            <span class=\"hw-blogCard__date\">September 24, 2019<\/span>\n                        <\/div>\n                    <\/div>\n                    <div class=\"hw-blogCard__readTime\">\n                        <span class=\"hw-blogCard__readTimeTitle\">Read Time<\/span>\n                        <span class=\"hw-blogCard__readTimeAmount\">5 Minutes <\/span>\n                    <\/div>\n                <\/div>\n            <\/div>\n\n        \n            <div class=\"hw-blogCard\">\n                <a class=\"hw-blogCard__top\" href=\"https:\/\/www.simscale.com\/blog\/insulated-shipping-box-cold-chain\/\"\n                aria-label=\"Read article Thermal Packaging for Cold Chain: Insulated Shipping Box Design\">\n                                            <img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"250\" src=\"https:\/\/frontend-assets.simscale.com\/media\/2017\/09\/coldchain-header-368x250.png\" class=\"hw-blogCardImage wp-post-image\" alt=\"insulated shipping box simulation for cold chain thermal management\" \/>                                        <h4 class=\"hw-blogCard__title\">Thermal Packaging for Cold Chain: Insulated Shipping Box Design<\/h4>\n\n                    <div class=\"hw-blogCard__tagItems\">\n    <span class=\"hw-blogCard__tagItem\">Thermal Analysis<\/span><span class=\"hw-blogCard__tagItem\">Webinar<\/span><\/div>\n                <\/a>\n                <div class=\"hw-blogCard__bottom\">\n                    <div class=\"hw-blogCard__author\">\n                        <a href=\"https:\/\/www.simscale.com\/blog\/author\/churazova-anastasia\/\">\n                            <img decoding=\"async\" class=\"hw-blogCard__authorImg\" src=\"https:\/\/secure.gravatar.com\/avatar\/d5d4e278e99da6cf8f507fae5b62c2ab5bfb68bb883470439c7eaf3ead371388?s=96&#038;d=mm&#038;r=g\" alt=\"Anastasia Churazova\" loading=\"lazy\" width=\"43\" height=\"43\">\n                        <\/a>\n                        <div class=\"hw-blogCard__authorCol2\">\n                            <a href=\"https:\/\/www.simscale.com\/blog\/author\/churazova-anastasia\/\"\n                            class=\"hw-blogCard__authorName\"\n                            aria-label=\"Find more articles written by Anastasia Churazova\">Anastasia Churazova<\/a>\n                            <span class=\"hw-blogCard__date\">September 8, 2017<\/span>\n                        <\/div>\n                    <\/div>\n                    <div class=\"hw-blogCard__readTime\">\n                        <span class=\"hw-blogCard__readTimeTitle\">Read Time<\/span>\n                        <span class=\"hw-blogCard__readTimeAmount\">8-Minute Read<\/span>\n                    <\/div>\n                <\/div>\n            <\/div>\n\n        \n    <\/div>\n<\/div>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignCenter \">\n    <a href=\"\/blog\/category\/fea\/\" class=\"hw-btn  hw-btn--secondary  \"     >\n        Read More Blog Posts    <\/a>\n<\/div>\n\n\n\n<\/div>\n<\/div>\n\n\n\n\n<div   class=\"hw-section hw-section--normalSpacing hw-section--white\">\n\n        <div class=\"hw-contentWrap hw-contentWrap--normalWidth hw-textLeft\">\n        \n        \n\n\n<h2 class=\"wp-block-heading has-text-align-center\">Example Nonlinear Analysis Projects<\/h2>\n\n\n\n\n<div id=\"projects_list\" class=\"\">\n                                        <input type=\"hidden\" name=\"project1\" id=\"project1\" value=\"https:\/\/www.simscale.com\/api\/v1\/projects\/ahmedhussain18\/rubber_seal_sliding_analysis\/\" \/>\n            <input type=\"hidden\" name=\"alt_image_src1\" id=\"alt_image_src1\" value=\"\" \/>\n            <input type=\"hidden\" name=\"alt_image_alt1\" id=\"alt_image_alt1\" value=\"\" \/>\n                                            <input type=\"hidden\" name=\"project2\" id=\"project2\" value=\"https:\/\/www.simscale.com\/api\/v1\/projects\/Templates\/demo_-_plastic_push_pin_-_copy\/\" \/>\n            <input type=\"hidden\" name=\"alt_image_src2\" id=\"alt_image_src2\" value=\"\" \/>\n            <input type=\"hidden\" name=\"alt_image_alt2\" id=\"alt_image_alt2\" value=\"\" \/>\n                                            <input type=\"hidden\" name=\"project3\" id=\"project3\" value=\"https:\/\/www.simscale.com\/api\/v1\/projects\/rszoeke\/f1_workshop_example_1_-_structural_analysis_of_a_frontwing\/\" \/>\n            <input type=\"hidden\" name=\"alt_image_src3\" id=\"alt_image_src3\" value=\"\" \/>\n            <input type=\"hidden\" name=\"alt_image_alt3\" id=\"alt_image_alt3\" value=\"\" \/>\n                                            <input type=\"hidden\" name=\"project4\" id=\"project4\" value=\"https:\/\/www.simscale.com\/api\/v1\/projects\/ahmedhussain18\/aircraft_engine_bearing_bracket_analysis_3\/\" \/>\n            <input type=\"hidden\" name=\"alt_image_src4\" id=\"alt_image_src4\" value=\"\" \/>\n            <input type=\"hidden\" name=\"alt_image_alt4\" id=\"alt_image_alt4\" value=\"\" \/>\n        <\/div>\n\n<div class=\"hw-projectCardList\"><\/div>\n\n<script type=\"text\/x-handlebars-template\" id=\"projects-template\" nonce=\"48a7a51accb171eabc6597dde089f040\">\n\n    <div class=\"com-projectCard\">\n        <a class=\"com-projectCard__wbLink\" href=\"\/workbench\/?pid={{projectIdExt}}\">\n            <svg class=\"com-projectCard__wbLinkIcon\" aria-hidden=\"true\" 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walkMeOne}}id=\"walkMeProjectClick\"{{\/if}} href=\"\/projects\/{{ ownerName }}\/{{ publicProjectName }}\/\">\n                <div class=\"com-projectCard__thumbOverlay\">\n                    <span class=\"com-projectCard__thumbOverlayText\">View Project<\/span>\n                <\/div>\n                <img loading=\"lazy\" class=\"com-projectCard__thumbImg\" data-project-src=\"{{ thumbnailUrl }}\" alt=\"{{ thumbnailAlt }}\" width=\"1440\" height=\"1080\"\/>\n            <\/a>\n        <\/div>\n        <div class=\"com-projectCard__body\">\n            <p class=\"com-projectCard__title\"><a href=\"\/projects\/{{ ownerName }}\/{{ publicProjectName }}\/\">{{ projectName }}<\/a><\/p>\n        <\/div>\n        <div class=\"com-projectCard__meta\">\n            <span class=\"com-projectStat com-projectStat--views\" data-toggle=\"tooltip\" data-placement=\"bottom\" title=\"Views\">{{ numberOfViews }}<\/span>\n            <span class=\"com-projectStat com-projectStat--shares\" data-toggle=\"tooltip\" data-placement=\"bottom\" title=\"Shares\">{{ numberOfCopies }}<\/span>\n            <span class=\"com-projectStat com-projectStat--simulationRun\" data-toggle=\"tooltip\" data-placement=\"bottom\" title=\"Results\">{{ numberOfSimulationRuns }}<\/span>\n        <\/div>\n    <\/div>\n\n<\/script>\n\n\n\n<div class=\"hw-block hw-btnWrapper hw-btnWrapper--alignCenter \">\n    <a href=\"https:\/\/www.simscale.com\/projects\/categories\/frequency\/?viewMode=listView&#038;sortBy=project_copies&#038;time=all\" class=\"hw-btn  hw-btn--secondary  \"     >\n        See More Simulations    <\/a>\n<\/div>\n\n\n\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nonlinear Structural Analysis Simulations Optimize structural designs with changing stiffness using cloud-native 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