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

M. Jabareen, E. Mtanes

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)3-31
Number of pages29
JournalInternational Journal for Numerical Methods in Engineering
Volume106
Issue number1
DOIs
StatePublished - 6 Apr 2016

Keywords

  • Cosserat point element
  • Distorted elements
  • Finite element technology
  • Hyperelasticity
  • Nonlinear orthotropic solid

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Applied Mathematics
  • Numerical Analysis

Fingerprint

Dive into the research topics of 'A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy'. Together they form a unique fingerprint.

Cite this