Continuum Mechanics: Volume 1 (3^rd Ed.) Foundations and Applications of Mechanics

Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.

List of figures; List of tables; Preface; Notations; 1. Introduction to tensors; 2. Kinematics, 3. Balance laws; 4. Constitutive equations; 5. Nonlinear elasticity; 6. Linearized elasticity; 7. Thermomechanics; 8. Rigid-body dynamics; Appendices; Bibliography; Index.

C. S. Jog is Professor, Department of Mechanical Engineering, Indian Institute of Science, Bangalore. He received his Ph.D. from the University of Illinois, Urbana-Champaign, and worked as a postdoctoral assistant at the Technical University of Denmark for a year. He has more than twenty years of teaching and research experience and has published nearly forty papers in national and international journals. He teaches courses on elasticity, strength of materials, continuum mechanics and numerical analysis at the undergraduate and postgraduate level. His areas of interest are finite element methods, solid mechanics and structural optimisation.