Theory of viscoelasticity

• Main Author: Christensen, R. M.
• Format: Electronic eBook
• Language: English
• Published: Mineola, N.Y. : Dover Publications, 2003.
• Edition: 2nd ed.
• Series: Dover Civil and Mechanical Engineering.
• Subjects: Viscoelasticity.; elektronické knihy; electronic books
• ISBN: 9780486318967; 0486318966; 9781628709063; 1628709065; 048642880X; 9780486428802
• Physical Description: 1 online resource (xii, 364 pages) : illustrations

Integration of numerous theoretical developments offers a complete, consistent description of the linear theory of the viscoelastic behavior of materials. Relevant theoretical formulations are derived from a continuum mechanics viewpoint, followed by discussions of problem-solving techniques. A welc...

Table of Contents:

• Cover; Title Page; Copyright Page; Contents; Preface to Second Edition; Preface to First Edition; I. Viscoelastic Stress Strain Constitutive Relations; 1.1. Introduction; 1.2. Integral Form of Stress Strain Constitutive Relations, Stieltjes Convolution Notation; 1.3. Consequences of Fading Memory and the Distinction between Viscoelastic Solids and Fluids; 1.4. Differential Operator Form of Stress Strain Constitutive Relations; 1.5. Relaxation and Creep Characteristics, Mechanical Models; 1.6. Steady State and Fourier Transformed Stress Strain Constitutive Relations.
• 1.7. Accelerated and Retarded Processes1.8. Alternative Mechanical Property Functions; 1.9. Spectra Problems References; II. Isothermal Boundary Value Problems; 2.1. Formulation of the Boundary Value Problem; 2.2. Uniqueness of Solution; 2.3. Separation of Variables Conditions; 2.4. Steady State Harmonic Conditions; 2.5. Integral Transform Methods; 2.6. Effect of Inertia Terms; 2.7. Steady State Harmonic Oscillation Example; 2.8. Quasi-Static Response Example; 2.9. Pressurization of a Cylinder; 2.10. Pressurization of a Spherical Cavity; 2.11. Free Vibration.
• 2.12. Limitations of Integral Transform Methods2.13. Summary and Conclusions; Problems; References; III. Thermoviscoelasticity; 3.1. Thermodynamical Derivation of Constitutive Relations; 3.2. Restrictions and Special Cases; 3.3. Relationship to Nonnegative Work Requirements; 3.4. Formulation of the Thermoviscoelastic Boundary Value Problem; 3.5. Temperature Dependence of Mechanical Properties; 3.6. Thermorheologically Simple Materials; 3.7. Glass Transition Criterion; 3.8. Heat Conduction; Problems; References; IV. Mechanical Properties and Approximate Transform Inversion; 4.1. Introduction.
• 4.2. Relaxation and Creep Procedures4.3. Steady State Harmonic Oscillation Procedures; 4.4. Wave Propagation Procedures; 4.5. Temperature Dependent Effects; 4.6. Approximate Interrelationships among Properties; 4.7. Approximate Inversion of the Laplace Transform; 4.8. Approximate Solutions for Dynamic Problems; Problems; References; V. Problems of a Nontransform Type; 5.1. Contact Problem; 5.2. Extended Correspondence Principle; 5.3. Crack Growth-Local Failure Model; 5.4. Crack Growth-Energy Balance Approach; 5.5. Thermoviscoelastic Stress Analysis Problem; Problems; References.
• VI. Wave Propagation6.1. Isothermal Wave Propagation; 6.2. Dynamic Response Problems; 6.3. Harmonic Thermoviscoelastic Waves in Unlimited Media; 6.4. Reflection of Harmonic Waves; 6.5. Moving Loads on a Viscoelastic Half Space; 6.6. Viscoelastic Rayleigh Waves; VII. General Theorems and Formulations; 7.1. Uniqueness of Solution of Coupled Thermoviscoelastic Boundary Value Problem; 7.2. Representation in Terms of Displacement Functions; 7.3. Reciprocal Theorem; 7.4. Variational Theorems; 7.5. Minimum Theorems; 7.6. Optimal Strain History; VIII. Nonlinear Viscoelasticity.