ISSN:
0029-5981
Keywords:
non-linear elasticity
;
finite elements
;
solution algorithms
;
three-dimensional membranes
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
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.
Additional Material:
12 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620382002
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