Ashton J.E., Whitney J.M. Theory of laminated plates

Technomic Publishing Co., Inc. 1970. – 158 pp. – (Progress in Materials Science Series. Vol. IV), OCR.In this book the authors have attempted to present both the theoretical development and pertinent solutions for plates fabricated of thin layers of anisotropic materials. The book is intended to provide a clear foundation in the theory of laminated plates, including the problems of bending under normal load, stability, and free vibration. Although the theoretical development is reasonably complete, the principal demonstration of the behavior of laminated plates is made through the presentation of a large number of actual solutions. In particular, the effects of bending anisorropy, stacking sequence, and bending-stretching coupling, which have been included in theoretical developments for many years, are illustrated through numerous solutions with comparison to the simpler cases of orthotropic plates.The book contains seven chapters. Chapter I presents the fundamental information from anisotropic elasticity; Chapters II and III provide a development of the governing differential equations and energy forms for thin laminated anisotropic plates subject to the assumption of non-deformable normals. Chapter IV treats the simplified form of the laminated plate equations equivalent to homogeneous orthotropic plates. This form of the equations is rarely applicable to real laminated plates except as an approximation, and Chapters V and VI indicate the effect of an assumption of orthotropic behavior by comparing solutions including bending anisotropy (Chapter V) and bending-stretching coupling (Chapter VI) to these orthotropic solutions. Chapter VII presents a theoretical development and solutions for laminated plates that are free of the assumption of non-deformable normals, and thus provides an indication of the effect of transverse shear on the behavior of laminated plates.This book is intended to bring together enough of a theoretical development and solutions of the governing equations to indicate the importance of variables such as stacking sequence, degree of bending anisotropy, and bending-stretching coupling which have not previously been treated in book form. It is hoped that engineers and materials scientists will find the book useful in developing an understanding of laminated structural elements