Exact energy and momentum conserving algorithms for general models in nonlinear elasticity

✍ Scribed by O. Gonzalez

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 657 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(00)00189-4

✦ Synopsis

Implicit time integration schemes that inherit the conservation laws of total energy, linear and angular momentum are considered for initial boundary-value problems in ®nite-deformation elastodynamics. Conserving schemes are constructed for general hyperelastic material models, both compressible and incompressible, and are formulated in a way that is independent of spatial discretization.

Three numerical examples for Ogden-type material models, implemented using a ®nite 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.