Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Some boundary value problems and models for coupled elastic bodies

Authors: J. A. Arango, L. P. Lebedev and I. I. Vorovich
Journal: Quart. Appl. Math. 56 (1998), 157-172
MSC: Primary 73C35; Secondary 73K99, 73V05
DOI: https://doi.org/10.1090/qam/1604825
MathSciNet review: MR1604825
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Abstract: A new class of boundary value problems is presented. These problems are described by related equations of different nature and possess such properties as the appearance of highest derivatives in boundary conditions. Such problems appear to model common engineering constructions composed of elements of different mechanical natures like plates, shells, membranes, or three-dimensional elastic bodies.

Two problems are considered in detail, namely a three-dimensional elastic body with flat elements taken as a plate or a membrane, and a plate-membrane system. The existence-uniqueness theorems for the corresponding boundary value problems are established and an application of a conforming FEM is justified.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/1604825
Article copyright: © Copyright 1998 American Mathematical Society

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