Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity

Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity

Das, B.

Springer International Publishing AG

12/2016

104

Dura

Inglês

9783319488073

15 a 20 dias

This book presents problems and solutions of the mathematical theories of thermoelasticity and magnetothermoelasticity. The classical, coupled and generalized theories are solved using the eigenvalue methodology. Different methods of numerical inversion of the Laplace transform are presented and their direct applications are illustrated.
Chapter - 1 1-16 (A) Solution of Vector-matrix Differential Equation 3 (B) Numerical Inversion of Laplace Transform 11 i)Bellman Method 11 ii) Zakian Method 13 Chapter - 2 17-59 1. Eigenvalue Approach To Coupled Thermoelasticity With Temperature Dependent Modulus of Elasticity In A Isotropic Elastic Medium With A Cylindrical Hole 19-35 Introduction 19 Nomenclature 21 Basic Equations and Formulation of the Problem 22 Solution Procedure 26 Boundary Conditions 30 Numerical Solution 32 Figures 33 Concluding Remarks 35 2. Eigenvalue Approach To Thermoelastic Interactions In An Unbounded Body With A Spherical Cavity 36-59 Introduction 36 Nomenclature 39 Basic Equations and Formulation of the Problem 39 Solution Procedure 41 Boundary Conditions 45 Numerical Solution 49 Figures 50 Concluding Remarks 57 Chapter - 3 60-123 3. Eigenvalue Approach To Generalized Thermoelastic Interactions In An Unbounded Body With Circular Cylindrical Hole Without Energy Dissipation 62-80 Introduction 62 Nomenclature 64 Basic Equations and Formulation of the Problem 64 Solution Procedure 66 Boundary Conditions 70 Numerical Solution 71 Figures 72 Concluding Remarks 79 4. Eigenvalue Approach To Study The Effect Of Rotation In Three Dimensional Problem Of Generalized Thermoelasticity 81-102 Introduction 81 Nomenclature 83 Basic Equations and Formulation of the Problem 85 Solution Procedure 87 Numerical Solution 93 Figures 95 Concluding Remarks 101 5. Eigenvalue Approach To Two Dimensional Problem Of Generalized Thermoelasticity For A Half-Space With Body Force 103-123 Introduction 103 Nomenclature 106 Basic Equations and Formulation of the Problem 107 Solution Procedure 109 Boundary Conditions 114 Figures 117 Concluding Remarks 122 Chapter - 4 124-213 6. One Dimensional Generalized Magnetothermoelastic Problem : For A Half-Space 126-158 Introduction 126 Nomenclature 128 Basic Equations and Formulation of the Problem <129 Solution Procedure 133 Boundary Conditions 137 Numerical Solution 140 Figures 142 Concluding Remarks 153 7. A Two Dimensional Problem Of Generalized Magnetothermoelastic Interactions For Half-Space In Rotating Medium 159-188 Introduction 159 Nomenclature 161 Basic Equations and Formulation of the Problem 162 Solution Procedure 167 Boundary Conditions 172 Numerical Solution 174 Figures 175 Concluding Remarks 185 8. A Two Dimensional Problem Of Generalized Magnetothermoelasticity With Heat-Source 189-213< Introduction 189 Nomenclature 192 Basic Equations and Formulation of the Problem 193 Solution Procedure 197 Boundary Conditions 202 Numerical Solution 204 Figures 205 Concluding Remarks 211
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.