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A time-marching scheme based on implicit Green’s functions for elastodynamic analysis with the domain boundary element method. (English) Zbl 1160.74050

Summary: The work presents an alternative time-marching technique for boundary element formulations based on static fundamental solutions. The domain boundary element method is adopted, and time-domain Green’s matrices of the elastodynamic problem are considered in order to generate a recursive relationship to evaluate displacements and velocities at each time-step. Taking into account the Newmark method, the Green’s matrices of the problem are numerically and implicitly evaluated, establishing the Green-Newmark method. At the end of the work, numerical examples are presented, verifying the accuracy and potentialities of the new methodology.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
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References:

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