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Asymptotic analysis of linearly elastic shells. (English) Zbl 0846.73038
Summary: Using the formal approach of asymptotic expansions, we identify the two-dimensional limit membrane and bending models in the theory of linearly elastic shells. In this fashion, we retrieve the two asymptotic behaviors already announced in a short communication based on a multiple-scale technique.

MSC:
74K15 Membranes
35Q72 Other PDE from mechanics (MSC2000)
35B40 Asymptotic behavior of solutions to PDEs
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