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Finite elasticity in spatial description: Linearization aspects with 3-D membrane applications

✍ Scribed by E. A. Souza De Neto; Djordje Perić; D. R. J. Owen


Book ID
102964894
Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
845 KB
Volume
38
Category
Article
ISSN
0029-5981

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✦ Synopsis


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.