Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle
Keyword(s):
The possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola-Lagrange (unsymmetric) stress alone, is examined. A new incremental hybrid stress finite-element model, based on an incremental complementary energy principle involving both the incremental Piola-Lagrange stress, and an incremental rotation tensor which leads to discretization of rotational equilibrium equations, is presented. An application of this new method to the finite strain analysis of a compressible nonlinear-elastic solid is included, and the numerical results are discussed.
1999 ◽
Vol 26
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pp. 31-37
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2018 ◽
Vol 15
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pp. 1850040
2013 ◽
Vol 75
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pp. 78-84
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2011 ◽
Vol 46
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pp. 395-406
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1997 ◽
Vol 40
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pp. 1335-1354
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1986 ◽
Vol 10
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pp. 28-33
1968 ◽
Vol 19
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pp. 149-169
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