Theory of Viscoelasticity: An Introduction to the Theory of Algebraic Numbers and Functions

Theory of Viscoelasticity: An Introduction, Second Edition discusses the integral form of stress strain constitutive relations. The book presents the formulation of the boundary value problem and demonstrates the separation of variables condition. The text describes the mathematical framework to predict material behavior. It discusses the problems to which integral transform methods do not apply. Another topic of interest is the thermoviscoelastic stress analysis. The section that follows describes the heat conduction, glass transition criterion, viscoelastic Rayleigh waves, optimal strain history path, and nonlinear behavior of elastomers. The book will provide valuable insights for chemists, engineers, students, and researchers in the field of chemistry. Content: Front Matter , Page iii Copyright , Page iv Preface to Second Edition , Pages ix-x Preface to First Edition , Pages xi-xii Chapter I - Viscoelastic Stress Strain Constitutive Relations , Pages 1-34 Chapter II - Isothermal Boundary Value Problems , Pages 35-76 Chapter III - Thermoviscoelasticity , Pages 77-121 Chapter IV - Mechanical Properties and Approximate Transform Inversion , Pages 122-156 Chapter V - Problems of a Nontransform Type , Pages 157-186 Chapter VI - Wave Propagation , Pages 187-228 Chapter VII - General Theorems and Formulations , Pages 229-261 Chapter VIII - Nonlinear Viscoelasticity , Pages 262-291 Chapter XI - Nonlinear Mechanical Behavior , Pages 292-352 Appendixes , Pages 353-357 Index , Pages 359-364