Classical Continuum Mechanics
- Available for pre-order. Item will ship after December 23, 2021
This book explores the foundation of continuum mechanics and constitutive theories of materials using understandable notations. Written using clear language to explore this mathematically demanding area of mechanical engineering, the book provides a thorough guide to continuum mechanics.
Updated throughout for the second edition, the book adds new material aimed at defining classical continuum mechanics, discussing its limitations, and illustrating key concepts. New to the second edition is a chapter on advanced topics in classical continuum mechanics, defining and illustrating the type of physics that can be considered under calculus of variations and energy methods. Placing special emphasis on both matrix and vector notations, it presents material using these notations whenever possible. Establishing the tensorial nature of strain measures and influence of rotation of frames on various measures, the book illustrates the physical meaning of the components of strains, presents the polar decomposition of deformation, and provides the definitions and measures of stress.
The book will be of interest to graduate students, with the objective of preparing them for advanced research or for advanced applications of continuum mechanics. Additionally, the new edition includes a solutions manual, aiding lecturers and those pursuing self-study.
Table of Contents
Chapter 1: Introduction. Chapter 2: Concepts and Mathematical Preliminaries. Chapter 3: Kinematics of Motion, Deformation and their Measures. Chapter 4: Definitions and Measures of Stresses. Chapter 5: Rate of Deformation, Area, Volume, Strain Rate Tensors, Spin Tensor and Convected Time Derivatives of Stress and Strain Tensors. Chapter 6: Conservation and Balance Laws in Eulerian Description. Chapter 7: Conservation and Balance Laws in Langragian Description. Chapter 8: General considerations in the constitutive theories for solids and fluids. Chapter 9: Constitutive theories for thermoelastic solids. Chapter 10: Ordered Rate Constitutive Theories for Thermoviscoelastic Solids without Memory. Chapter 11: Ordered Rate Constitutive Theories for Thermoviscoelastic Solids with Memory. Chapter 12: Ordered Rate Constitutive Theories for Thermofluids. Chapter 13: Ordered Rate Constitutive Theories for Thermoviscoelastic Fluids. Chapter 14: Mathematical Models with Thermodynamic Relations. Chapter 15: Calculus of variations, energy methods and principle of virtual work. Chapter 16: Advanced Topics
Karan S. Surana attended undergraduate school at Birla Institute of Technology and Science (BITS), Pilani, India and received a B.E. in mechanical engineering in 1965. He then attended the University of Wisconsin, Madison where he obtained M.S. and Ph.D. in mechanical engineering in 1967 and 1970. He joined The University of Kansas, Department of Mechanical Engineering faculty where he is currently serving as Deane E. Ackers University Distinguished Professor of Mechanical Engineering. His areas of interest and expertise are computational mathematics, computational mechanics, and continuum mechanics. He is the author of over 350 research reports, conference papers, and journal papers.