Discrete models for static and dynamic failure
In this paper we first present a meso-scale model for failure of heterogeneous quasi-brittle materials 1,2,3,4. The model problem of heterogeneous materials that is addressed in detail is based on two-phase 3D representation of reinforced heterogeneous materials, such as concrete or aluminum boron, where the spherical inclusions are included within the matrix. The quasi-brittle failure mechanisms are described by the spatial truss representation, which is defined by the chosen Voronoi mesh. In order to explicitly incorporate heterogeneities with no need to change this mesh, some bar elements are cut by the phase-interface and must be split into two parts. Any such element is enhanced by using both weak and strong discontinuities, based upon the Incompatible Mode Method. Furthermore, a dedicated operator split solution procedure is proposed in order to keep any additional computation on elements with embedded discontinuities local. The results for several numerical simulations are presented in order to illustrate the capabilities of the proposed model to provide an excellent representation of failure mechanism for any different macroscopic loading path. The same models are then extended further and applied to the problems of dynamics failure. The key ingredient of this extension pertains to representing the cohesive forces by geometrically exact beam elements 6 and dedicated time-integration schemes 5.
Adnan Ibrahimbegovic
Ecole Normale Supérieure de Cachan, LMT-Cachan, 61 avenu du président Wilson, 94235 Cachan, France
国际会议
南京
英文
24
2009-10-12（万方平台首次上网日期，不代表论文的发表时间）