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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.
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.
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
