LEADER 05742nam 22007813u 450 001 9911006904303321 005 20230124191150.0 010 $a9780486145174 010 $a0486145174 010 $a9781621986416 010 $a1621986411 035 $a(CKB)2670000000525571 035 $a(EBL)1900652 035 $a(SSID)ssj0001002707 035 $a(PQKBManifestationID)12461038 035 $a(PQKBTitleCode)TC0001002707 035 $a(PQKBWorkID)11027927 035 $a(PQKB)11244415 035 $a(MiAaPQ)EBC1900652 035 $a(Au-PeEL)EBL1900652 035 $a(CaONFJC)MIL566912 035 $a(OCoLC)868967189 035 $a(Perlego)111456 035 $a(EXLCZ)992670000000525571 100 $a20141229d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCreep and Relaxation of Nonlinear Viscoelastic Materials 205 $a1st ed. 210 $aNewburyport $cDover Publications$d2013 215 $a1 online resource (638 p.) 225 1 $aDover Civil and Mechanical Engineering 300 $aDescription based upon print version of record. 311 08$a9780486660165 311 08$a0486660168 327 $aTitle Page; Copyright Page; PREFACE; Table of Contents; CHAPTER 1 - INTRODUCTION; 1.1 Elastic Behavior; 1.2 Plastic Behavior; 1.3 Viscoelastic Behavior; 1.4 Creep; 1.5 Recovery; 1.6 Relaxation; 1.7 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 327 $a3.1 State of Stress3.2 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; 4.3 Equations of Equilibrium; 4.4 Equilibrium of Moments; 4.5 Kinematics; 4.6 Compatibility Equations; 4.7 Constitutive Equations 327 $a4.8 Linear Elastic Solid4.9 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 327 $a5.11 Integral Representation of Viscoelastic Constitutive Equations5.12 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 of Some Viscoelastic Models; 5.21 Maxwell Model; 5.22 Kelvin Model; 5.23 Burgers Model 327 $a5.24 Relation Between the Relaxation Modulus and the Complex Relaxation Modulus5.25 Relation Between Creep Compliance and Complex Compliance; 5.26 Complex Compliance for tn; 5.27 Temperature Effect and Time-Temperature Superposition Principle; CHAPTER 6 - LINEAR VISCOELASTIC STRESS ANALYSIS; 6.1 Introduction; 6.2 Beam Problems; 6.3 Stress Analysis of Quasi-static Viscoelastic Problems Using the Elastic-Viscoelastic Correspondence Principle; 6.4 Thick-walled Viscoelastic Tube; 6.5 Point Force Acting on the Surface of a Semi-infinite Viscoelastic Solid; 6.6 Concluding Remarks 327 $aCHAPTER 7 - MULTIPLE INTEGRAL REPRESENTATION 330 $aThis pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on 410 0$aDover Civil and Mechanical Engineering 606 $aViscoelasticity$xCreep 606 $aMaterials 606 $aStress relaxation (Physics) 606 $aChemical & Materials Engineering$2HILCC 606 $aEngineering & Applied Sciences$2HILCC 606 $aMaterials Science$2HILCC 615 0$aViscoelasticity$xCreep. 615 0$aMaterials. 615 0$aStress relaxation (Physics) 615 7$aChemical & Materials Engineering 615 7$aEngineering & Applied Sciences 615 7$aMaterials Science 676 $a620.1/1233 700 $aFindley$b William N$056765 701 $aDavis$b Francis A$01823743 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9911006904303321 996 $aCreep and Relaxation of Nonlinear Viscoelastic Materials$94390673 997 $aUNINA