کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
514494 | 866749 | 2006 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The 3é hyperelastic model applied to the modeling of 3D impact problems The 3é hyperelastic model applied to the modeling of 3D impact problems](/preview/png/514494.png)
Lainé et al. [Nonlinear isotropic constitutive laws: choice of the three invariants, convex potentials and constitutive inequalities, Int. J. Eng. Sci. 37 (1999) 1927–1941.] have proposed a new third order hyperelastic model, named here the 3é model. The present paper is devoted to the modeling of finite deformations of hyperelastic bodies described by the 3é model under contact/impact conditions. A total Lagrangian formulation is adopted to describe the geometrically nonlinear behavior. A first order algorithm is applied to integrate the equations of motion. For the finite element implementation, an explicit expression of the tangent operator is derived. Efficiency and accuracy of the resulting method are illustrated on a numerical example.
Journal: Finite Elements in Analysis and Design - Volume 43, Issue 1, November 2006, Pages 51–58