A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy

作者：Jabareen M^*; Mtanes E

来源：International Journal for Numerical Methods in Engineering, 2016, 106(1): 3-31.

DOI：10.1002/nme.5000

• Cosserat point element
• finite element technology
• distorted elements
• nonlinear orthotropic solid
• hyperelasticity

The objective of the present paper is to develop a Cosserat point element (CPE) formulation for the numerical solution of three-dimensional problems of general hyperelastic orthotropic materials under finite deformations with initially distorted element shapes. Generally speaking, the accuracy of the CPE depends on the constitutive coefficients of the strain energy function that controls the inhomogeneous deformations. In the present study, a new methodology for the determination of the constitutive coefficients is presented, which allows the CPE to model any elastic material including isotropic, orthotropic, and anisotropic materials and with initially distorted element geometry. A number of example problems are considered, which verify and compare the performance of the developed CPE with other 3D brick elements that exist in the commercial finite element package ABAQUS. These examples demonstrate that the developed CPE is accurate, robust, free of hourglass instabilities, and can be used for modeling both 3D and thin structures that undergo large deformations.

• 出版日期2016-4-6