Higher Elasticity Mechanics

Author: Wang Minzhong
Publisher:
Publish Date: 2002-12-01
Features: Based on the lecture notes of the author teaching the "Advanced Elasticity" course for undergraduate students at the Department of Mechanics, Peking University for many years, this book systematically introduces some theoretical advancements in mathematical elasticity in the second half of the 20th century. Examples include: the general solution of elasticity and its completeness, the Stroh theory of two-dimensional anisotropic elasticity, the complex variable method of Alekseev for axisymmetric problems, Mindlin's problem, the application of finite parts of divergent integrals and the Radon transform in elasticity, refined theories of plates, Beltrani-Schaefer stress functions, concentrated forces in the sense of Sternberg-Eubanks, various boundary integral equations, Kupradze's elastic potential theory, the precise exposition and rigorous proof of Saint-Venant's principle, as well as Gregory's boundary conditions for plates and Eshelby's problems. The references at the end of the book provide readers with further in-depth study on related topics. The book is rigorous, concise, easy to understand, engaging, and accessible. It can serve as a textbook for graduate students in the Department of Mechanics, as well as a reference for graduate students in civil, mechanical, and other related fields. Additionally, it is also suitable for teachers and researchers engaged in teaching and research in related disciplines.