Elsevier Nonlinear Theory of Elastic Plates

Product Description 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 Review Presents nonlinear theory of plates made of hyperelastic materials undergoing finite deformations, also addressing the linearization problem About the Author 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.