منابع مشابه
Polygonal finite elements for finite elasticity
Nonlinear elastic materials are of great engineering interest, but challenging to model with standard fi nite elements. The challenges arise because nonlinear elastic materials are characterized by nonconvex stored-energy functions as a result of their ability to undergo large reversible deformations, are incompressible or nearly incompressible, and often times possess complex microstructures. ...
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There have been many efforts, dating back four decades, to develop stablemixed finite elements for the stress-displacement formulation of the plane elasticity system. This requires the development of a compatible pair of finite element spaces, one to discretize the space of symmetric tensors in which the stress field is sought, and one to discretize the space of vector fields in which the displ...
متن کاملRectangular Mixed Finite Elements for Elasticity
We present a family of stable rectangular mixed finite elements for plane elasticity. Each member of the family consists of a space of piecewise polynomials discretizing the space of symmetric tensor fields in which the stress field is sought, and another to discretize the space of vector fields in which the displacement is sought. These may be viewed as analogues in the case of rectangular mes...
متن کاملQuasistatic Crack Growth in Finite Elasticity
In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of n -dimensional finite elasticity, for an arbitrary n ≥ 1 , with a quasiconvex bulk energy and with prescribed boundary deformations and applied loads, both depending on time.
متن کاملNonconforming Tetrahedral Mixed Finite Elements for Elasticity
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 1984
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.3167707