THEORY AND ANALYSIS OF ELASTIC PLATES （弹性板理论和分析）.pdf

THEORY AND ANALYSIS OF ELASTIC PLATES AND SHELLS Second Edition Theory and Analysis of Elastic Plates and Shells Second Edition J. N. Reddy Distinguished Professor and Holder of the Oscar S. Wyatt Endowed Chair Department of Mechanical Engineering Texas AM University, College Station Texas, USA 77843—3123 “Whence all creation had its origin, he, whether he fashioned it or whether he did not, he, who surveys it all from highest heaven, he knows–or maybe even he does not know.” Rig Veda Contents Preface to the Second Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xv Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii About the Author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix 1 Vectors, Tensors, and Equations of Elasticity . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Vectors, Tensors, and Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2 1.2.1 Preliminary Comments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.2 Components of Vectors and Tensors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.3 Summation Convention . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3 1.2.4 The Del Operator . . . .