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Integral equations of dynamic problems for multilayered media containing a system of cracks

✍ Scribed by O.D. Pryakhina; A.V. Smirnova


Book ID
104020353
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
405 KB
Volume
69
Category
Article
ISSN
0021-8928

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✦ Synopsis


A new method of determining the dynamic characteristics of multilayered semi-bounded media with defects of the inclusion or crack type at the layer interfaces [1] is used to solve antiplane problems. Systems of integral equations of the corresponding boundary-value problems are constructed and the properties of their kernels are investigated. The dispersion curves of the determinants and matrix elements of these systems are analysed as functions of the number of layers and their elastic and geometric characteristics


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## Abstract Segregated direct boundary‐domain integral equation (BDIE) systems associated with mixed, Dirichlet and Neumann boundary value problems (BVPs) for a scalar β€œLaplace” PDE with variable coefficient are formulated and analyzed for domains with interior cuts (cracks). The main results estab