繼大學部層次的材料力學、振動力學等基礎課程之後，有興趣在固體力學領域繼續研修的研究生，必須以彈性力學為基礎，方能進入後續進階課程的學習，如塑性力學、異相性彈性力學、破壞力學、波動力學等，或與其他領域耦合的物理問題，包括熱彈性力學、壓電力學、磁壓電力學等。

    這本書總共有兩部份十三章，第一部份前面幾章涵蓋基本的彈性力學原理，如應力、應變與材料三者之間的三維基本公式；接者進入卡式座標與極座標系統下的二維平面問題；扭轉問題也是探討的重點；再以簡易的變分原理，求解前述問題的數值解，作為未來學習有限元素法的基礎；最後說明如何求解非耦合的簡單熱彈性力學。第二部份著重在如何運用數學，例如特徵函數展開法、複變函數、積分變換(傅立葉變換、梅林變換)，求解比較進階的彈性力學問題、裂縫問題以及功能梯度材料力學等。

Following fundamental courses at undergraduate level, such as Mechanics of Materials and Mechanics of Vibration, graduate students who are interested in solid mechanics field must take the course Theory of Elasticity. With this basic concept, they are able to understand more advanced topics, such as Plasticity, Anisotropic Elasticity, Fracture Mechanics, and Wave propagation, as well as other coupling fields such as Thermo-elasticity, Piezo-elasticity, and Magneto-electro-elasticity.

        This book is divided into two parts and contains thirteen chapters. The Part I covers the relationships between stresses, strains and material properties in three dimensional problems, as well as fundamental principles of elasticity. Then it gets into discussing the plane problems in Cartesian and Polar coordinate systems, and the torsional problems. For future studying the finite element analysis, the applications of variational principal on the elasticity theory are also included. Finally, the solutions of some simple uncoupled thermo-elasticity problems are explained. The Part II of this book is emphasized on the applications of mathematics in solving more advanced elasticity problems, crack problems, and mechanics of Functional Graded Materials.  The mathematical tools include Eigen-function Expansion, Fourier Integral Transforms, Mellin Transform and Complex Functions.