Mechanics of Elasticity and Tensor Analysis

Author: Guo Rixiu
Publisher:
Publish Date: 2003-10-01
Features: This book covers tensor analysis, discussing the concept of tensors, tensor algebra, and tensor analysis. This section focuses on general tensors, guiding readers to master the mathematical tool of tensor analysis by correctly understanding the concept of tensors. This section is relatively independent and can be used as a textbook for graduate-level tensor analysis courses. The second and third sections together form the part on elasticity. The second section, Basic Equations of Elasticity, includes stress analysis, strain analysis, stress-strain relationships, and the basic equations of elasticity. The third section, Elasticity Problems and Solution Methods, includes exact solutions to several problems in linear elasticity, some applied elasticity problems, the energy principle, and approximate/numerical solution methods. The characteristics of this part are: explaining the basic theories and methods of elasticity using general tensors as a tool; expanding the content on applied elasticity problems and approximate/numerical solution methods; discussing finite strain tensors and large deformation stress tensors. The second and third sections together can be used as a textbook for graduate-level elasticity courses. This book is intended for use as a graduate-level textbook in universities for professional fields such as ship and ocean engineering, aerospace, transportation, civil engineering, water conservancy, and mechanical engineering. It can also be referenced by graduate students in engineering mechanics and researchers and designers engaged in structural analysis. The book discusses the concept of tensors, tensor algebra, and tensor analysis. It focuses on general tensors, guiding readers to master the mathematical tool of tensor analysis by correctly understanding the concept of tensors.