Dynamic inelastic structural analysis by the BEM: a review.

*(English)*Zbl 1259.74047Summary: This review paper describes the most widely used techniques associated with the dynamic analysis of inelastic solids and structures by the boundary element method (BEM). Firstly, a historical overview is presented. Next, the various existing BEM formulations for dynamic analysis of two- and three-dimensional solids and structures as well as plates and shells are briefly described. Inelasticity refers to elastoplastic, damage or elastoplastic plus damage material behaviour. Then, five numerical examples from the literature and three new examples of the authors are presented to illustrate the applicability and accuracy of these boundary element methodologies. Finally, advantages and disadvantages of the various methods as well as future developments are presented in the conclusions.

##### MSC:

74S15 | Boundary element methods applied to problems in solid mechanics |

74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |

74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |

74R20 | Anelastic fracture and damage |

74-02 | Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids |

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\textit{G. D. Hatzigeorgiou} and \textit{D. E. Beskos}, Eng. Anal. Bound. Elem. 35, No. 2, 159--169 (2011; Zbl 1259.74047)

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