Nonlinear Theory of Elastic Plates

Nonfiction, Science & Nature, Technology, Engineering, Mechanical, Mathematics, Statistics
Cover of the book Nonlinear Theory of Elastic Plates by Anh Le Van, Elsevier Science
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Author: Anh Le Van ISBN: 9780081023594
Publisher: Elsevier Science Publication: May 31, 2017
Imprint: ISTE Press - Elsevier Language: English
Author: Anh Le Van
ISBN: 9780081023594
Publisher: Elsevier Science
Publication: May 31, 2017
Imprint: ISTE Press - Elsevier
Language: English

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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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.

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