期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 190, 期 13-14, 页码 1763-1783出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(00)00189-4
关键词
numerical integration; nonlinear elastodynamics; incompressible elasticity; integral preservation
Implicit time integration schemes that inherit the conservation laws of total energy, linear and angular momentum are considered for initial boundary-value problems in finite-deformation elastodynamics. Conserving schemes are constructed for general hyperelastic material models, both compressible and incompressible, and are formulated in a way thar is independent of spatial discretization. Three numerical examples for Ogden-type material models, implemented using 3 finite element discretization in space, are given to illustrate the performance of the proposed schemes. These examples show that, relative to the standard implicit mid-point rule, the conserving schemes exhibit superior numerical stability properties without a compromise in accuracy. (C) 2000 Elsevier Science B.V. All rights reserved.
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