Problems and solutions in thermoelasticity and magneto-thermoelasticity. (2016)
- Record Type:
- Book
- Title:
- Problems and solutions in thermoelasticity and magneto-thermoelasticity. (2016)
- Main Title:
- Problems and solutions in thermoelasticity and magneto-thermoelasticity
- Further Information:
- Note: B. Das.
- Authors:
- Das, B
- Contents:
- 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 OfChapter – 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 <numerical solution="" ="" 116 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. … (more)
- Publisher Details:
- Cham : Springer
- Publication Date:
- 2016
- Copyright Date:
- 2017
- Extent:
- 1 online resource (104 pages)
- Subjects:
- 531.382
Engineering
Thermoelasticity
Science -- Mechanics -- General
Mathematics -- Applied
Classical mechanics
Applied mathematics
Mechanics
Mechanics, Applied
Mathematics
Science -- Mechanics -- Solids
Mechanics of solids - Languages:
- English
- ISBNs:
- 9783319488080
- Related ISBNs:
- 9783319488073
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.370481
- Ingest File:
- 01_355.xml