Nonlinear Theory of Elastic Plates

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.

Autorentext

Anh Le van is Professor at the University of Nantes, France. His research at the GeM (Research Institute in Civil and Mechanical Engineering) includes membrane structures and, more specifically, the problems of contact and buckling of these structures.

Klappentext

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.

Inhalt

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