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A linear shell theory based on variational principles

Posted on:2002-09-17Degree:Ph.DType:Dissertation
University:The Pennsylvania State UniversityCandidate:Zhang, ShengFull Text:PDF
GTID:1460390011996755Subject:Mathematics
Abstract/Summary:
Under the guidance of variational principles, we derive a two-dimensional shell model, which is a close variant of the classical Naghdi model. From the model solution, approximate stress and displacement fields can be explicitly reconstructed. Convergence of the approximate fields toward the more accurate three-dimensional elasticity solutions is proved. Convergence rates are established. The condition under which the model might fail is also discussed.
Keywords/Search Tags:Model
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