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Dynamic Response of 3-D Damaged Solids and Structures by BEM

G.D. Hatzigeorgiou1, D.E. Beskos1

Department of Civil Engineering, University of Patras, 26500, Patras, Greece.

Computer Modeling in Engineering & Sciences 2002, 3(6), 791-802.


This paper presents a general boundary element methodology for the dynamic analysis of three-dimensional inelastic solids and structures. Inelasticity is simulated with the aid of the continuum damage theory. The elastostatic fundamental solution is employed in the integral formulation of the problem and this creates in addition to the surface integrals, volume integrals due to inertia and inelasticity. Thus an interior discretization in addition to the usual surface discretization is necessary. Isoparametric linear quadrilateral elements are used for the surface discretization and isoparametric linear hexahedra for the interior discretization. Advanced numerical integration techniques for singular and nearly singular integrals are employed. Houbolt's step-by-step numerical time integration algorithm is used to provide the dynamic response. Numerical examples are presented to illustrate the method and demonstrate its accuracy.


Cite This Article

Hatzigeorgiou, G., Beskos, D. (2002). Dynamic Response of 3-D Damaged Solids and Structures by BEM. CMES-Computer Modeling in Engineering & Sciences, 3(6), 791–802.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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