Mechanics of Solid Deformable Body

This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics.

For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material.

The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.

Includes in-depth discussions about all stages of mathematical models construction Covers the important knowledge related to the constitutive and governing equations Provides a detailed description of the solution procedures for various types of mathematical model problems

Autorentext

Michael A. Zhuravkov is currently the head of the Theoretical and Applied Mechanics Department, Belarusian State University (BSU), Minsk, Belarus. Prof. Zhuravkov is the science leader of research laboratory of Applied Mechanics. He has more than 450 scientific works, including 15 monographs, 17 textbooks, courses of lectures; 15 brochures, scientific publications; more than 250 scientific articles and publications in the reviewed editions, and more than 130 publications in English-language editions. He has prepared 3 Doctor of Science and 15 Doctors of Philosophy (candidates of sciences).

He is the science leader of a large number of International research projects and programs (fundamental and applied). Prof. Zhuravkov is a member of some editorial boards of scientific international journals and organizing regularly working conferences and symposia committees. He was a visiting professor at the Harbin University of Science and Technology, Dalian University of Technology (China), Krakow Pedagogical University (Poland), Delft University of Technology (Netherlands), and Royal Institute of Technology, KTH (Sweden), and other universities. Yongtao Lyu is currently an associate professor at the Department of Engineering Mechanics, Dalian University of Technology, China. He obtained his bachelor and master of engineering degrees (2001-2007) from Huazhong University of Science and Technology (nationally top 10), China. Then he received the EPSRC scholarship and completed his Ph.D. study (2007-2010) at Cardiff University, UK. Afterward, he worked as a postdoctoral researcher (2010-2013) at the Institute of Biomechanics, Hamburg University of Technology, Germany, and then as a senior research associate (2013-2015) at the Institute for in silico Medicine, the University of Sheffield, UK. Dr. Lyu's main research interests lie primarily in the mechanical behavior of biomaterials, the computational modeling of human body systems, and the bionic design of bone scaffolds. Dr. Lyu has published over 40 SCI-indexed academic papers. Most of them are in the top-level journals in biomechanics, such as the Journal of Biomechanics and Journal of the Mechanical Behavior of Biomedical Materials. Eduard I. Starovoitov is currently the head of the Structural Mechanics Department, Belarusian State University of Transport, Gomel, Belarus. Prof. E. Starovoitov is the founder and the leader of the Belarusian scientific school for research of stressstrain state of layered viscoelasticplastic elements of structures operating under conditions of complex static and dynamic effects in thermal and radiation fields. He has prepared 2 Doctor of Science and 11 Doctors of Philosophy (candidates of sciences). Prof. E. Starovoitov has more than 300 scientific works. There are 10 monographs, 10 textbooks, and courses of lectures. More than 100 articles have been published in prestigious international scientific journals.

Inhalt

1. Boundary problem statements of Solid Mechanics.- 2. Basic concepts of stress-strain state theory.- 3. Materials and Solids mechanical characteristics and properties.- 4. About construction of mathematical model problems in the framework of deformed solid mechanics models.- 5. Mathematical models of the theory of elasticity.- 6. Mathematical models of solid with rheological properties.- 7. Mathematical models of plasticity theory.- 8. Fundamental solutions.- 9. Dynamic problems of Solid Mechanics.- 10. Mathematical models of special classes of Solid Mechanics problems.