Nonlinear Theory of Elastic Plates

Presents nonlinear theory of plates made of hyperelastic materials undergoing finite deformations, also addressing the linearization problem

Anh Le Van (Author)

9781785482274, Elsevier Science

Hardback, published 23 May 2017

212 pages
22.9 x 15.1 x 2 cm, 0.47 kg

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.

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

Subject Areas: Mechanical engineering [TGB]