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Nonlinear Theory of Elastic Plates

Autor Anh Le Van
en Limba Engleză Hardback – 22 mai 2017
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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Specificații

ISBN-13: 9781785482274
ISBN-10: 1785482270
Pagini: 212
Dimensiuni: 152 x 229 mm
Editura: ELSEVIER SCIENCE

Cuprins

1. Fundamentals of tensor theory 2. Initial position of a plate 3. Theory of Cosserat plates 4. Theory of Reissner-Mindlin plates 5. Theory of Kirchhoff-Love plates 6. Constitutive laws for plates 7. Linearized theory of Kirchhoff-Love plates