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Dynamic equations of flexure of thin elastic plate with asymptotical degeneration of parameters of layers. (English. Abridged French version) Zbl 0752.73052

Summary: Based on the asymptotic analysis of the 3-D equations, 2-D mathematical models of flexural motions of thin elastic layered plates are derived under the condition of asymptotical degeneration of many parameters of the layers. All of the stress tensor components are determined in contrary with the engineering theories. That is especially important for soft laminae where bending stresses do not dominate and, for example, for the statement of a long inside crack problem, when minor stresses of the problem without crack are needed as boundary conditions.

MSC:

74K15 Membranes
74E30 Composite and mixture properties
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