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A 3-D Boundary Element Method for Dynamic Analysis of Anisotropic Elastic Solids1

M. Kögl, L. Gaul2

Dedicated to Professor Dietmar Gross on the occasion of his 60th birthday
Institute A of Mechanics, University of Stuttgart, Germany

Computer Modeling in Engineering & Sciences 2000, 1(4), 27-44.


A Boundary Element formulation is presented for the solution of three-dimensional problems of anisotropic elastodynamics. Due to the complexity of the dynamic fundamental solutions for anisotropic materials and the resulting high computational costs, the approach at hand uses the fundamental solution of the static operator. This leads to a domain integral in the representation formula which contains the inertia term. The domain integral can be transformed to the boundary using the Dual Reciprocity Method. This results in a system of ordinary differential equations in time with time-independent matrices. Several general questions concerning the anisotropic solutions, the use of DRM, and the choice of the time stepping scheme are investigated by numerical examples, and the capacity of the method for the solution of forced vibration problems and transient analyses is demonstrated. The results show excellent agreement for the displacements, and an improved accuracy in stress calculations when compared to Finite Element analyses.


Cite This Article

Kögl,, M. (2000). A 3-D Boundary Element Method for Dynamic Analysis of Anisotropic Elastic Solids1. CMES-Computer Modeling in Engineering & Sciences, 1(4), 27–44.

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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