Continuum Thermodynamics and Material Modelling

This concise and rigorous textbook introduces students to continuum thermodynamics, combining a complete treatment of the subject with practical applications to material modelling. It presents mathematical prerequisites and the foundations of continuum mechanics, then introduces more advanced topics such as theories for the investigation of material models. Taking the student step-by-step through the subject, it allows full understanding of the theory and how it relates to real-world practical applications. Packed with examples and illustrations to describe complex concepts and mathematical derivations, and including end-of-chapter problems with helpful hints, this is the ideal, accessible introduction to continuum thermodynamics for senior undergraduate and graduate students in mechanical, aeronautical and civil engineering.

Preface; 1. Introduction; 2. Mathematical prerequisites; 3. Kinematics of a continuum and integral rules; 4. Continuum mechanics; 5. Introduction to continuum thermodynamics; 6. Axioms of thermodynamics and their consequences; 7. Special cases of continuum thermodynamics and validation of material models; 8. Material models for heat conduction and time-independent deformation; 9. Material models for creep; 10. Damage; 11. Introduction to material models in fluid mechanics; References; Appendices; Index.

Kari Santaoja is a Senior University Lecturer emeritus of Mechanical Engineering, Aalto University, Finland. He is a member of the Finnish Association for Structural Mechanics.
J. N. Reddy is a Distinguished Professor, Regents Professor, and holder of the O'Donnell Foundation Chair IV of Mechanical Engineering at Texas A & M University. He is internationally recognized for his research and education in applied and computational mechanics, and is the author of several hundred journal articles and twenty-four textbooks, including Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics (Cambridge University Press: 2022); Introduction to Continuum Mechanics (Cambridge University Press: 2013); and Principles of Continuum Mechanics (Cambridge University Press: 2009). He has been awarded The Leonardo da Vinci Award, the IACM (Gauss-Newton) Medal, the ASME Timoshenko Medal, the ASCE Theodore von Karman Medal, and the USACM John von Neumann Medal, among others. He is a member of the US National Academy of Engineering and a foreign member of five other academies.