Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity
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Beschreibung
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
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