Time-domain BEM for 3-D transient elastodynamic problems with interacting rigid movable disc-shaped inclusions

Formulation of time-domain boundary element method for elastodynamic analysis of interaction between rigid massive disc-shaped inclusions subjected to impinging elastic waves is presented. Boundary integral equations (BIEs) with time-retarded kernels are obtained by using the integral representation...

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Bibliographic Details
Published in:Computational mechanics 2014-06, Vol.53 (6), p.1311-1325
Main Authors: Mykhas’kiv, V. V., Martin, P. A., Kalynyak, O. I.
Format: Article
Language:English
Subjects:
Boundary element method
Boundary integral method
Classical and Continuum Physics
Computational Science and Engineering
Elastic waves
Elastodynamics
Engineering
Equations of motion
Inclusions
Integral equations
Interfacial stresses
Linearity
Longitudinal waves
Mass ratios
Mathematical analysis
Mathematical models
Obstacles
Original Paper
Stress intensity factors
Theoretical and Applied Mechanics
Three dimensional
Time domain analysis
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Summary:Formulation of time-domain boundary element method for elastodynamic analysis of interaction between rigid massive disc-shaped inclusions subjected to impinging elastic waves is presented. Boundary integral equations (BIEs) with time-retarded kernels are obtained by using the integral representations of displacements in a matrix in terms of interfacial stress jumps across the inhomogeneities and satisfaction of linearity conditions at the inclusion domains. The equations of motion for each inclusion complete the problem formulation. The time-stepping/collocation scheme is implemented for the discretization of the BIEs by taking into account the traveling nature of the generated wave field and local structure of the solution at the inclusion edges. Numerical results concern normal incidence of longitudinal wave onto two coplanar circular inclusions. The inertial effects are revealed by the time dependencies of inclusions’ kinematic parameters and dynamic stress intensity factors in the inclusion vicinities for different mass ratios and distances between the interacting obstacles.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-014-0975-7