Nonlinear Theory of Elastic Plates

ISBN: 9781785482274 出版年：2017 页码：214 Van, Anh Le ISTE Press - Elsevier_RM

Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate modelsosserat plates, Reissner-Mindlin plates and Kirchhoff-Love platesin 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 chapterOrganized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly statedPresents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results