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Cover image for book Nonlinear Theory of Elastic Plates

Nonlinear Theory of Elastic Plates

By:Anh Le Van
Publisher:Elsevier S & T
Print ISBN:9781785482274
eText ISBN:9780081023594
Edition:0
Copyright:2017
Format:Reflowable

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Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate models—Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates— in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource.

  • Presents the tricky process of linearization, which is rarely dealt with, but explained in detail in a separate chapter
  • Organized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly stated
  • Presents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results

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