| Preface | 5 |
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| Table of Contents | 8 |
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| 1 Three Dimensional Problems of Theory of Plates in Temperature Field | 12 |
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| 1.1 Introduction | 13 |
| 1.2 Coupled 3D Thermoelasticity Problem for a Cubicoid | 22 |
| 1.3 Methods of Solving Difference Equations | 50 |
| 1.4 Linear Problems in the Theory of Plates in 3D Space | 70 |
| 1.5 3D Physically Non-Linear Problems | 140 |
| 2 Stability of Rectangular Shells within Temperature Field | 160 |
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| 2.1 Introduction | 161 |
| 2.2 Flexible Anisotropic Shallow Shells in Temperature Fields | 163 |
| 2.3 Solution of 3D Stationary Heat Transfer Equation | 197 |
| 2.4 Algorithm for Difference Equations | 238 |
| 2.5 Computations of Plates and Shells in a Temperature Field | 263 |
| 3 Dynamical Behaviour and Stability of Closed Cylindrical Shells with Continuous Thermal Load | 278 |
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| 3.1 Introduction | 278 |
| 3.2 Thermoelastic Thin Thermosensitive Cylindrical Shells | 287 |
| 3.3 Computational Algorithms | 321 |
| 3.4 Dynamical Stability Loss with Ununiform Force Excitation | 345 |
| 3.5 Dynamical Stability Loss and Non-uniform Thermal Load | 377 |
| 4 Dynamical Behaviour and Stability of Rectangular Shells with Thermal Load | 406 |
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| 4.1 Introduction | 406 |
| 4.2 Algorithm | 413 |
| 4.3 Stability of Thin Shallow Shells | 443 |
| 4.4 Stability of Thin Conical Shells | 469 |
| 4.5 Stability of Flexurable Conical Shells with Convection | 490 |
| 5 Dynamical Behaviour and Stability of Flexurable Sectorial Shells with Thermal Load | 504 |
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| 5.1 Introduction | 504 |
| 5.2 Flexurable Conical Sectorial Shells Computations | 509 |
| 5.3 Stability of Sectorial Shells with Finite Deflections | 531 |
| 5.4 Chaotic Dynamics of Sectorial Shells | 625 |
| 6 Coupled Problems of Thin Shallow Shells in a Temperature Field within Kirchhoff- Love Kinematic Model | 644 |
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| 6.1 Introduction | 644 |
| 6.2 Fundamental Assumptions and Relations | 645 |
| 6.3 Differential Equations | 647 |
| 6.4 Boundary and Initial Conditions | 650 |
| 6.5 Solution to 3D heat conductivity equation | 651 |
| 6.6 Algorithm | 653 |
| 6.7 Stability Rectangular Shells with Coupled Deformation and temperature fields | 656 |
| 6.8 Additional Method | 677 |
| 7 Novel Solution Method for a System of Linear Algebraic Equations | 682 |
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| 7.1 Introduction | 682 |
| 7.2 Elimination method for equations | 684 |
| 7.3 Numerical solution of a three-dimensional equation of elliptic type | 695 |
| 7.4 Computation of geometrically non-linear non-homogenous shallow shells with mixed boundary condition along their sides | 707 |
| 8 Mathematical Approaches to Coupled Termomechanical Problems | 716 |
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| 8.1 Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem | 716 |
| 8.2 On the Solution of a Coupled Thermo-mechanical Problem for Non- homogeneous Timoshenko- type Shells | 724 |
| 8.3 On the Solvable Operators Generated by Uniformly Correct Problems | 730 |
| References | 734 |
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| Index | 778 |
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