Dedication
Preface
List of contributors
Chapter 1 Introduction
Chapter2 Kinematics, Deformation Measures, Rates, Convected Time Derivatives, Objective Tensors and Objective Rates
Chapter 3 Stress and Moment Tensors
Chapter 4 Kinematic, Thermodynamic and Mathematical Considerations in Microcontinuum Theories
Chapter 5 Constitutive Theories for Microcontinua
Chapter 6 Linear Micropolar Theory for Solid Medium
Chapter 7 Balance of Moment of Moments Balance Law: Solid Medium
Chapter 8 Linear Micromorphic Theory for Solid Medium
Chapter 9 Linear Microdilation Theory for Solid Medium
Chapter 10 Nonlinear Micropolar Theory for Solid Medium
Chapter 11 Nonlinear Micromorphic Theory for Solid Medium
Chapter 12 Nonlinear Microdilation Theory for Solid Medium
Chapter 13 Micropolar Theory for Fluent Medium
Chapter 14 Balance of Moment of Moments Balance Law for Fluent Media
Chapter 15 Rotational Inertial Physics in Micropolar Solid Medium
Chapter 16 Rotational Inertial Physics in Micropolar Fluent Medium
appendix a Combined generators and invariants
appendix b "Transformations and operations in Cartesian, cylindrical and spherical coordinate systems"
Bibliography
Biography
Karan S. Surana received B.E. degree from Birla Institute of Technology and Science (BITS), Pilani, India in 1965 and M.S and Ph.D. from the University of Wisconsin, Madison in 1967 and 1970. He then worked in software industry for 14 years before joining the University of Kansas, Mechanical Engineering in 1984. Currently, he is Deane E. Ackers University Distinguished Professor in the Department of Mechanical Engineering at the University of Kansas. He is a fellow and life member of ASME and a member of European Academy of Science and Arts. His area of interest, teaching and research are: classical, nonclassical and microcontinuum theories including constitutive theories as well as continuum theory for additive manufactured materials; computational mathematics and computational mechanics with specialization in finite element methods. He is the author of recently published textbooks: Advanced Mechanics of Continua, CRC/Taylor & France (9780367612962), The Finite Element Method for Boundary Value Problems: Mathematics and Computations, CRC/Taylor & Francis (9781498780506), The Finite Element Method for Initial Value Problems: Mathematics and Computations, CRC/Taylor & Francis (9781498780506), Numerical Methods and Methods of Approximation in Science and Engineering, CRC/Taylor & Francis (9780367136727), and Classical Continuum Mechanics, CRC/Taylor & Francis( 9780367612962)
Sri Sai Charan Mathi received his PhD in Mechanical Engineering from The University of Kansas, with a focus on Continuum Mechanics and Computational Mathematics. His work centers on the formulation of thermodynamically and mathematically consistent nonclassical continuum theories. His interests include the systematic development and interpretation of microcontinuum theories for both theoretical understanding and engineering applications.
