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Modeling of Large Deformations of Hyperelastic Materials

並列摘要


The elastomer properties (large deformations, damping) make their use more and more common in industries such as aerospace, automotive, construction and civil engineering or even the entertainment industry... Modeling the behavior of such materials is highly nonlinear, the nonlinearities are both geometric (due to large deformations imposed) and behavioral (behavior laws used are nonlinear). This paper presents a detailed description of the numerical implementation of incompressible isotropic hyperelastic behavior. In this study, the analysis of large deformation problems of Ogden's hyperelastic is based on the finite element method (FEM) and mathematical programming. To solve the problem of balance, we suggest using the combined Newton-Raphson/Arc-length procedure. A typical example is presented to illustrate the performance of this formulation.

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