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Chapitre D'ouvrage Année : 2003

Materially Nonlinear Analysis

Marc Bonnet

Résumé

This chapter presents a review of domain-boundary element techniques for solving materially nonlinear solid mechanics problems. Quasi-static and dynamic formulations are addressed, with emphasis on the use of implicit constitutive integration techniques and the local and global consistent tangent operators. Symmetric Galerkin BEM formulations are also presented. A section is devoted to steady-state elastoplastic calculations for moving loads, and another to the simulation of abrasive wear, both types of nonlinear analyses being well-suited to D/BEM treatments. Another section deals with energy methods in fracture mechanics. Finally, a symmetric formulation for BEM-FEM coupling is presented as another way to use BEM, this time combined with FEM, for materially nonlinear analyses.

Dates et versions

hal-00112509 , version 1 (08-11-2006)

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Marc Bonnet. Materially Nonlinear Analysis. Beskos, D. E., Maier, G. Advances in Boundary Element Methods, CISM courses and lectures no. 440,Springer-Verlag, pp.55-114, 2003, ⟨10.1007/978-3-7091-2790-2_2⟩. ⟨hal-00112509⟩
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