Creep and Relaxation of Nonlinear Viscoelastic Materials: With an Introduction to Linear Viscoelasticity

Valutazione media 3,8
( su 5 valutazioni fornite da GoodReads )
 
9780486660165: Creep and Relaxation of Nonlinear Viscoelastic Materials: With an Introduction to Linear Viscoelasticity

Pioneering book presents basic theory, experimental methods and results, solution of boundary value problems. Topics include creep, stress and strain, deformation analyses, multiple integral representation of nonlinear creep and relaxation, much more. Appendices. Bibliography.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

PREFACE CHAPTER 1. INTRODUCTION 1.1 Elastic Behavior 1.2 Plastic Behavior 1.3 Viscoelastic Behavior 1.4 Creep 1.5 Recovery 1.6 Relaxation I.7 Linearity CHAPTER 2. HISTORICAL SURVEY OF CREEP 2.1 Creep of Metals 2.2 Creep under Uniaxial Stress 2.3 Creep under Combined Stresses 2.4 Creep under Variable Stress 2.5 Creep of Plastics 2.6 Mathematical Representation of Creep of Materials 2.7 Differential Form 2.8 Integral Form 2.9 Development of Nonlinear Constitutive Relations CHAPTER 3. STATE OF STRESS AND STRAIN 3.1 State of Stress 3.2 Stress Tensor 3.3 Unit Tensor 3.4 Principal Stresses 3.5 Mean Normal Stress Tensor and Deviatoric Stress Tensor 3.6 Invariants of Stress 3.7 Traces of Tensors and Products of Tensors 3.8 Invariants in Terms of Traces 3.9 Hamilton-Cayley Equation 3.10 State of Strain 3.11 Strain-Displacement Relation 3.12 Strain Tensor CHAPTER 4. MECHANICS OF STRESS AND DEFORMATION ANALYSES 4.1 Introduction 4.2 Law of Motion CONTENTS ix 4.3 Equations of Equilibrium 4.4 Equilibrium of Moments 4.5 Kinematics 4.6 Compatibility Equations 4.7 Constitutive Equations 4.8 Linear Elastic Solid 4.9 Boundary Conditions 4.10 The Stress Analysis Problem in a Linear Isotropic Elastic Solid CHAPTER 5. LINEAR VISCOELASTIC CONSTITUTIVE EQUATIONS 5.1 Introduction 5.2 Viscoelastic Models 5.3 The Basic Elements: Spring and Dashpot 5.4 Maxwell Model 5.5 Kelvin Model 5.6 Burgers or Four-element Model 5.7 Generalized Maxwell and Kelvin Models 5.8 Retardation Spectrum for tn 5.9 Differential Form of Constitutive Equations for Simple Stress States 5.10 Differential Form of Constitutive Equations for Multiaxial Stress States 5.11 Integral Representation of Viscoelastic Constitutive Equations 5.12 Creep Compliance 5.13 Relaxation Modulus 5.14 Boltzmann's Superposition Principle and Integral Representation 5.15 Relation Between Creep Compliance and Relaxation Modulus 5.16 Generalization of the Integral Representation to Three-Dimensions 5.17 Behavior of Linear Viscoelastic Material under Oscillating Loading 5.18 Complex Modulus and Compliance 5.19 Dissipation 5.20 Complex Compliance and Complex Modulus ofSome Viscoelastic Models 5.21 Maxwell Model 5.22 Kelvin Model 5.23 Burgers Model 5.24 Relation Between the Relaxation Modulus and the Complex Relaxa­tion Modulus 5.25 Relation Between Creep Compliance and Ccmplex Compliance 5.26 Complex Compliance for In 5.27 Temperature Effect and Time-Temperature Superposition Principle CHAPTER 6. LINEAR VISCOELASTIC STRESS ANALYSIS 108 6.1 Introduction 108 6.2 Beam Problems 109 6.3 Stress Analysis of Quasi-static Viscoelastic Problems Using the Elastic-Viscoelastic Correspondence Principle 119 6.4 Thick-walled Viscoelastic Tube 122 6.5 Point Force Acting on the Surface of a Semi-infinite Viscoelastic Solid 128 6.6 Conduding Remarks 130 x CONTENTS CHAPTER 7. MULTIPLE INTEGRAL REPRESENTATION 7.1 Introduction 7.2 Nonlinear Viscoelastic Behavior under Uniaxial Loading 7.3 Nonlinear Viscoelastic Behavior under Multiaxial Stress State 7.4 A Linearly Compressible Material 7.S Incompressible Material Assumption 7.6 Linearly Compressible 7.7 Constant Volume 7.8 Incompressible and Linearly Compressible Creep 7.9 Incompressible and Linearly Compressible Relaxation 7.10 Constitutive Relations under Biaxial Stress and Strain 7.11 Constitutive Relations under Uniaxial Stress and Strain 7.12 Strain Components for Biaxial and Uniaxial Stress States, Compres­sible Material 7.13 Strain Components for Biaxial and Uniaxial Stress States, Linearly Compressible Material 7.14 Stress Components for Biaxial and Uniaxial Strain States 7.15 Approximating Nonlinear Constitutive Equations under Short Time Loading 7.16 Superposed Small Loading on a Large Constant Loading 7.17 Other Representations 7.18 Finite Linear Viscoelasticity 7.19 Elastic Fluid Theory 7.20 Thermodynamic Constitutive Theory CHAPTER 8. NONLINEAR CREEP AT CONSTANT STRESS AND RELAXATION AT CONSTANT STRAIN 8.1 Introduction 8.2 Constitutive Equations for 3 X 3 Matrix 8.3 Components of Strain for Creep at Constailt Stress 8.4 Components of Stress for Relaxation at Constant Strain 8.5 Biaxial Constitutive Equations for 2 x 2 Matrix 8.6 Components of Strain (or Stress) for Biaxial States for 2x2 Matrix 8.7 Constitutive Equations for Linearly Compressible Material 8.8 Components of Strain for Creep of Linearly Compressible Material 8.9 Components of Stress for Relaxation of Linearly Compressible Material 8.10 Poisson's Ratio 8.11 Time Functions 8.12 Determination of Kc,lrnel Functions for Constant Stress Creep 8.13 Determination of Kernel Functions for Constant-Strain Stress-Relaxation 8.14 Experimental Results of Creep CHAPTER 9. NONLINEAR CREEP (OR RELAXATION) UNDER VARIABLE STRESS (OR STRAIN) 9.1 Introduction 9.2 Direct Determination of Kernel Functions 9.3 Product-Form Approximation of Kernel Functions 9.4 Additive Forms of Approximation of Kernel Functions 9.5 Modified Superposition Method 9.6 Physical Linearity Approximation of Kernel Functions 233 9.7 Comparison 235 CHAPTER 10. CONVERSION AND MIXING OF NONLINEAR CREEP AND RELAXATION 10.1 Introduction 10.2 Relation Between Creep and Stress Relaxation for Uniaxial Nonlinear Viscoelasticity 10.3 Example: Prediction of Uniaxial Stress Relaxation from Creep of Nonlinear Viscoelastic Material 10.4 Relation Between Creep and Relaxation for Biaxial Nonlinear Visco­elasticity 244 10.5 Behavior of Nonlinear Viscoelastic Material under Simultaneous Stress Relaxation in Tension and Creep in Torsion 10.6 Prediction of Creep and Relaxation under Arbitrary Input CHAPTER 11. EFFECT OF TEMPERATURE ON NONLINEAR VISCOELASTIC MATERIALS 11.1 Introduction 11.2 Nonlinear Creep Behavior at Elevated Temperatures 11.3 Determination of Temperature Dependent Kernel Functions 11.4 Creep Behavior under Continuously Varying Temperature-Uniaxial Case 11.5 Creep Behavior under Continuously Varying Temperature for Com­bined Tension and Torsion 11.6 Thermal Expansion Instability CHAPTER 12. NONLINEAR VISCOELASTIC STRESS ANALYSIS 12.1 Introduction 12.2 Solid Circular Cross-section Shaft under Twisting 12.3 Beam under Pure Bending 12.4 Thick-walled Cylinder under Axially Symmetric CHAPTER 13. EXPERIMENTAL METHODS 13.1 Introduction 13.2 Loading Apparatus for Creep 13.3 Load Application 13.4 Test Specimen 13.5 Uniform Stressing or Straining 13.6 Strain Measurement 13.7 Temperature Control 13.8 Humidity and Temperature Controlled Room 13.9 Internal Pressure 13.10 Strain Control and Stress Measurement for Relaxation 13.11 A Machine for Combined Tension and Torsion APPENDIX AI. LIST OF SYMBOLS APPENDIX A2. MATHEMATICAL DESCRIPTION OF NONLINEAR VISCOELASTIC CONSTITUTIVE RELATION APPENDIX A3. UNIT STEP FUNCTION AND UNIT IMPULSE FUNCTION APPENDIX A4. LAPLACE TRANSFORMATION APPENDIX A5. DERIVATION OF THE MODIFIED SUPERPOSITION PRINCIPLE FROM THE MULTIPLE INTEGRAL REPRESENTATION APPENDIX A6. CONVERSION TABLES BIBLIOGRAPHY SUBJECT INDEX AUTHOR INDEX

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Findley, William N.
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Quantità: > 20
Da
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro 2011. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486660165

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 14,36
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

2.

Findley, William N.
Editore: Dover Publishers
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Quantità: > 20
Da
INDOO
(Avenel, NJ, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486660168

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,08
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,22
In U.S.A.
Destinazione, tempi e costi

3.

Findley, William N.
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Quantità: > 20
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro 2011. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486660165

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 17,17
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

4.

Findley, William N.
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Paperback Quantità: > 20
Da
BargainBookStores
(Grand Rapids, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 3491208

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 17,62
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

5.

William N. Findley, James S. Lai, Kasif Onaran
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Paperback Quantità: 10
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. New edition. 213 x 137 mm. Language: English . Brand New Book. This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book. Codice libro della libreria AAC9780486660165

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,15
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

6.

William N. Findley, James S. Lai, Kasif Onaran
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Paperback Quantità: 10
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. New edition. 213 x 137 mm. Language: English . Brand New Book. This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book. Codice libro della libreria AAC9780486660165

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,07
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

William N. Findley
Editore: Dover Publications (2011)
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Paperback Quantità: 20
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 2011. Paperback. Condizione libro: New. Codice libro della libreria 0486660168

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,09
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,75
In U.S.A.
Destinazione, tempi e costi

8.

James S. Lai
Editore: Dover Publications
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Paperback Quantità: 20
Da
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 400 pages. Dimensions: 8.4in. x 5.3in. x 0.7in.This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486660165

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 21,25
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,64
In U.S.A.
Destinazione, tempi e costi

9.

Findley, William N.; Lai, James S.; Onaran, Kasif
Editore: Dover Publications
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi PAPERBACK Quantità: 1
Da
BookShop4U
(PHILADELPHIA, PA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486660168. Codice libro della libreria Z0486660168ZN

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 25,28
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

10.

William N. Findley
Editore: Dover Publications Inc. (1990)
ISBN 10: 0486660168 ISBN 13: 9780486660165
Nuovi Quantità: > 20
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., 1990. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486660165

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 16,78
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,58
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro