Dynamic behavior of a finitesized elastic solid with multiple cavities and inclusions using BIEM
 S. L. Parvanova,
 P. S. Dineva,
 G. D. Manolis
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The 2D elastodynamic problem is solved for a finitesize solid containing multiple cavities and/or elastic inclusions of any shape that are arranged in an arbitrary geometrical configuration. The dynamic load is a tensile traction field imposed along the sides of the finitesize solid matrix and under timeharmonic conditions. Furthermore, the cavity surfaces are either tractionfree or internally pressurized, while the inclusions have elastic properties ranging from very weak to nearly rigid. The presence of all these heterogeneities within the elastic matrix gives rise to both wave scattering and stress concentration phenomena. Computation of the underlying kinematic and stress fields is carried out using the boundary integral equation method built on the frequencydependent fundamental solutions of elastodynamics for a point load in an unbounded continuum. As a first step, a detailed validation study is performed by comparing the present results with existing analytical solutions and with numerical results reported in the literature. Following this, extensive numerical simulations reveal the dependence of the scattered wave fields and of the resulting dynamic stress concentration factors (SCF) on the shape, size, number and geometrical configuration of multiple cavities and/or inclusions in the finite elastic solid. The pronounced SCF values invariably (but not always) observed are attributed to multiple dynamic interactions between these heterogeneities that may either weaken or strengthen the background elastic matrix.
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 Title
 Dynamic behavior of a finitesized elastic solid with multiple cavities and inclusions using BIEM
 Journal

Acta Mechanica
Volume 224, Issue 3 , pp 597618
 Cover Date
 20130301
 DOI
 10.1007/s0070701207590
 Print ISSN
 00015970
 Online ISSN
 16196937
 Publisher
 Springer Vienna
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 Authors

 S. L. Parvanova ^{(1)}
 P. S. Dineva ^{(2)}
 G. D. Manolis ^{(3)}
 Author Affiliations

 1. Department of Civil Engineering, University of Architecture, Civil Engineering and Geodesy (UACEG), 1046, Sofia, Bulgaria
 2. Institute of Mechanics, Bulgarian Academy of Mechanics (BAS), 1113, Sofia, Bulgaria
 3. Department of Civil Engineering, Aristotle University of Thessaloniki (AUTH), 54124, Thessaloniki, Greece