Premium
Finite elasticity in spatial description: Linearization aspects with 3‐D membrane applications
Author(s) -
De Neto E. A. Souza,
Perić Djordje,
Owen D. R. J.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620382002
Subject(s) - elasticity (physics) , linearization , finite element method , mathematics , mathematical analysis , computer science , structural engineering , materials science , engineering , physics , composite material , nonlinear system , quantum mechanics
Abstract The treatment of finite hyperelasticity set on the spatial configuration is described. The fully consistent linearization of the corresponding field equations is carried out in detail. It provides the basis of the exact Newton‐Raphson procedure for solution of the associated boundary value problem. A membrane formulation is presented in which the incompressibility constraint usually employed in the description of rubber‐like materials is satisfied trivially. The excellent performance of the proposed framework is demonstrated by means of 3‐D membrane finite element simulations.