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.

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