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.

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

• 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