Generalized Variational Principles in Elastic-Plastic Mechanics: Ministry of Education Recommended Graduate Textbook

Author: Zhuo Jiashou
Publisher:
Publish Date: 2002-07-01
Features: This book systematically introduces the derivation of variational principles for solid mechanics problems and their application in numerical calculations. Following the principle of gradual progression, it elaborates on the fundamental knowledge of variational calculus and elastoplastic mechanics, and derives generalized variational principles and various forms of modified variational principles starting from the classical natural variational principles. Based on the discussion of variational principles and finite element models in small-displacement elastoplastic static problems, the book also briefly introduces variational principles related to finite displacement, stability, dynamics, and thermal stress. The selection of materials in the manuscript reflects the current research levels both domestically and internationally, as well as the author's research achievements. This book can serve as a textbook for postgraduate students in engineering solid mechanics and senior undergraduate students in engineering mechanics, and can also be referenced by scientific and technical personnel engaged in solid mechanics research and application.