●Chapter 1 Mathematical Prerequisites
● 1.1 Index Notation
● 1.1.1 Range convention
● 1.1.2 Summation convention
● 1.1.3 The Kronecker delta
● 1.1.4 The permutation symbol
● 1.2 Vector Operations and Some Useful Integral Theorems
● 1.2.1 The scalar product of two vectors
● 1.2.2 The vector product of two vectors
● 1.2.3 The scalar triple product
● 1.2.4 The gradient of a scalar function
● 1.2.5 The divergence of a vector function
● 1.2.6 The curl of a vector function
● 1.2.7 Laplacian of a scalar function
● 1.2.8 Divergence theorem (Gauss's theorem)
● 1.2.9 Stokes' theorem
● 1.2.10 Green's theorem
● 1.3 Cartesian Tensors and Transformation Laws
● Problems 1
●Chapter 2 Analysis of Stress......
內容簡介
主要內容包括笛卡爾張量、應力理論、應變分析、彈性力學本構關繫、彈性力學問題的一般理論、平面問題的直角坐標解法和極坐標解法、柱形杆的扭轉和彎曲、空間問題和接觸問題、熱應力、彈性波的傳播、彈性力學問題的復變函數解法、彈性力學問題的變分解法等。