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Interface delamination of bi‐material structure under dynamic time harmonic loading
Author(s) -
Ivanova J.,
Nikolova G.,
Gambin B.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900369
Subject(s) - materials science , laplace transform , amplitude , shear (geology) , brittleness , composite material , shear stress , parametric statistics , ceramic , delamination (geology) , mechanics , structural engineering , physics , engineering , mathematics , optics , mathematical analysis , statistics , paleontology , subduction , biology , tectonics
The interface behaviour between two layers of 2D elastic structure under dynamic time‐harmonic load is studied. The “shear lag model” is adopted and applied to the dynamic response of bi‐material structure, assuming the elastic‐brittle behaviour of the interface. The Laplace transforms together with half‐analytical calculations are used to obtain the shear stress and elastic debond lengths along the interface at sinusoidal load. Parametric analysis of the obtained results is illustrated by an example of the modern ceramic‐metal composite, so called cermet, and depicted in figures. The influence of loading characteristics, i.e. frequencies and amplitude fluctuations on the shear stress and the value of debond length for a small interval of time, is discussed.