Tensor Analysis and Applications

Author: Yu Tianqing, Mao Weimin / Country: Mainland China
Publisher:
Publish Date: 2006-08-01
Features: This book systematically elaborates on tensor analysis and its applications in solid mechanics. The book is divided into nine chapters: Chapters 1 and 2 introduce the basic knowledge of tensors; Chapters 3 to 6 cover tensors, tensor algebra, tensor analysis, and curvature in Riemannian spaces; Chapters 7 and 8 discuss the application of tensor analysis in solid mechanics, particularly in damage mechanics; Chapter 9 introduces the application of MATLAB in matrix and tensor operations. Appendices A to C briefly summarize classic examples, orthogonalization, and curvilinear coordinates, respectively; Appendix D provides proofs or detailed solutions for some exercises, serving as a reference for instructors and self-learners. This book can serve as a textbook for graduate students and senior undergraduate students in mathematics, physics, mechanics, materials, astronomy, civil engineering, water conservancy, transportation, aerospace, information, and management disciplines. It can also be referenced by researchers and engineering professionals in related fields.