Article ID Journal Published Year Pages File Type
498718 Computer Methods in Applied Mechanics and Engineering 2010 12 Pages PDF
Abstract

In this paper, we propose a three-dimensional finite element formulation for micropolar elasticity dealing with large displacements and small strains (or equivalently small strains and finite rotations). A comprehensive outline of the theory’s characteristical features is given and we try to elucidate the set-up of a possible non-linear finite element implementation. One focus of the present study is on a sound verification process, featuring the construction of an enhanced Patch Test and the assessment of quadratic asymptotic rates of convergence. Aspects of performance and validity are discussed at a set of numerical examples. We show that, the proposed model is able to reproduce the transition between micropolar and classical continua highly accurate. Finally, we present results underlining the implementation’s applicability in the realm of finite deformation with arbitrarily large rotations.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
Authors
, , , ,