Nonlinear Theory of Elastic Plates (Hardcover) (ISBN-13: 9781785482274)

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.