Boundary Integral Equations for Arbitrary Geometry Shells

V. V. Zozulya ()
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V. V. Zozulya: Centro de Investigacion Cientifica de Yucatan A.C.

A chapter in Integral Methods in Science and Engineering, 2011, pp 403-414 from Springer

Abstract: Abstract Theory of shells has numerous applications in engineering fields such as civil, aerospace, chemical, mechanical, naval, nuclear, and microelectronics. Different aspects of the theory of shells have been discussed in numerous publications of theoretical and applied nature (Guliaev et al. 1978), (Kil’chevski 1963), (Vekua 1982). However, there are still some problems that have not been solved or even properly understood. A fundamental problem of the theory of shells is reduction of the 3-D equations of the solid mechanics to 2-D equations of shells. It is necessary for the 2-D equations to be as simple as possible, and their solution should make it possible to reconstruct the three-dimensional stress–strain state as accurately as possible. The existing theory of shells appeared by way of a compromise between these mutually exclusive requirements.

Keywords: Fundamental Solution; Boundary Integral Equation; Shell Theory; Middle Surface; Arbitrary Geometry (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-0-8176-8238-5_37

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