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Dynamic Stresses Created by the Sudden Appearance of a Transverse Crack in Periodically Layered Composites by Jacob Aboudi; Michael Ryvkin is a Engineering article available to read on EtoBox.

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## a b s t r a c t The time-dependent stress field generated by the sudden appearance of a transverse crack in a periodically layered composite that is subjected to a remote loading is determined. The resulting two-dimensional elastodynamic problem is solved by combining two approaches. In the first one, the representative cell method, which has been presently generalized to dynamic problems, is employed for the construction of the time-dependent Green's functions generated by the displacement jumps along the crack line. This is performed in conjunction with the application of the double finite discrete Fourier transform. Thus the original problem for the cracked periodic composite is reduced to the problem of a domain with a single period in the transform space. The second approach is based on a wave propagation in composites theory which has been presently generalized to admit arbitrary types of loading. This theory is based on the elastodynamic continuum equations where the transformed time-dependent displacement vector is expressed by a second-order expansion, and the equations of motion and the various interfacial and boundary conditions are imposed in the average (integral) s

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Author

Jacob Aboudi; Michael Ryvkin

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0020-7225)

Published

2011

Language

EN

Field

Engineering (Physical Sciences)