Engineering Viscoelasticity

Engineering Viscoelasticity covers all aspects of the thermo- mechanical response of viscoelastic substances that a practitioner in the field of viscoelasticity would need to design experiments, interpret test data, develop stress-strain models, perform stress analyses, design structural components, and carry out research work. The material in each chapter is developed from the elementary to the esoteric, providing the background in mathematics and mechanics that are central to understanding the subject matter being presented. This book also examines how viscoelastic materials respond to the application of loads, and provides practical guidelines to use them in the design of commercial, military and industrial applications. Engineering Viscoelasticity covers all aspects of the thermo- mechanical response of viscoelastic substances that a practitioner in the field of viscoelasticity would need to design experiments, interpret test data, develop stress-strain models, perform stress analyses, design structural components, and carry out research work. The material in each chapter is developed from the elementary to the advanced, providing the background in mathematics and mechanics that are central to understanding the subject matter being presented. The book examines how viscoelastic materials respond to the application of loads, and provides practical guidelines to use them in the design of commercial, military and industrial applications. This book also: · Facilitates conceptual understanding by progressing in each chapter from elementary to challenging material · Examines in detail both differential and integral constitutive equations, devoting full chapters to each type and using both forms in applications throughout the book · Presents variational principles and energy theorems from a practical point of view, using these to develop computational tools such as the viscoelastic equivalent of the Unit-Load and the Unit-Displacement theorems · Provides more than 50 examples, solved in detail, and complete solution guides (hints) to all assigned problems. · Features code segments to curve-fit WLF time-temperature shift and Dirichlet-Prony functions, and a computer application to obtain the convolution inverse of Prony series. Engineering Viscoelasticity is as ideal book for first graduate-level courses on viscoelasticity, upper-level undergraduate level courses in engineering, and practicing professionals Front Matter....Pages i-xv Fundamental Aspects of Viscoelastic Response....Pages 1-21 Constitutive Equations in Hereditary Integral Form....Pages 23-52 Constitutive Equations in Differential Operator Form....Pages 53-91 Constitutive Equations for Steady-State Oscillations....Pages 93-112 Structural Mechanics....Pages 113-148 Temperature Effects....Pages 149-163 Material Property Functions and Their Characterization....Pages 165-191 Three-Dimensional Constitutive Equations....Pages 193-217 Isothermal Boundary-Value Problems....Pages 219-238 Wave Propagation....Pages 239-259 Variational Principles and Energy Theorems....Pages 261-282 Errata to: Engineering Viscoelasticity....Pages E1-E20 Back Matter....Pages 283-353