Abstract
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.
Original language | English |
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Pages (from-to) | 539-547 |
Number of pages | 9 |
Journal | Journal of Applied Mechanics, Transactions ASME |
Volume | 45 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1978 |