Ebook: Thermo-Dynamics of Plates and Shells

This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied.

The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads.

Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering.

Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed.

This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shell-type constructions.

---

This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied.

The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads.

Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering.

Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed.

This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shell-type constructions.

---

This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied.

The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads.

Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering.

Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed.

This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shell-type constructions.

Content:
Front Matter....Pages I-XII
Three–Dimensional Problems of Theory of Plates in Temperature Field....Pages 1-148
Stability of Rectangular Shells within Temperature Field....Pages 149-266
Dynamical Behaviour and Stability of Closed Cylindrical Shells....Pages 267-394
Dynamical Behaviour and Stability of Rectangular Shells with Thermal Load....Pages 395-492
Dynamical Behaviour and Stability of Flexurable Sectorial Shells....Pages 493-632
Coupled Problems of Thin Shallow Shells in a Temperature Field....Pages 633-669
Novel Solution Method for a System of Linear Algebraic Equations....Pages 671-704
Mathematical Approaches to Coupled Termomechanical Problems....Pages 705-721
Back Matter....Pages 723-777

---

This monograph is devoted to the investigation of nonlinear dynamics of plates and shells embedded in a temperature field. Numerical approaches and rigorous mathematical proofs of solution existence in certain classes of differential equations with various dimensions are applied. Both closed shell-type constructions and sectorial shells are studied.

The considered problems are approximated by 2D and 3D constructions taking into account various types of nonlinearities (geometrical and/or physical with coupled deformation and temperature fields), and are subjected to an action of stationary and non-stationary thermal loads.

Variational and finite difference numerical approaches are used to study numerous problems important for civil and mechanical engineering.

Furthermore, a novel and exact computational method to solve large systems of linear algebraic equations especially suitable for computational speed and memory storage of a computer is proposed.

This book is expected to be useful for researchers, engineers and students dealing with thermal and dynamical problems of stability and strength of shell-type constructions.

Content:
Front Matter....Pages I-XII
Three–Dimensional Problems of Theory of Plates in Temperature Field....Pages 1-148
Stability of Rectangular Shells within Temperature Field....Pages 149-266
Dynamical Behaviour and Stability of Closed Cylindrical Shells....Pages 267-394
Dynamical Behaviour and Stability of Rectangular Shells with Thermal Load....Pages 395-492
Dynamical Behaviour and Stability of Flexurable Sectorial Shells....Pages 493-632
Coupled Problems of Thin Shallow Shells in a Temperature Field....Pages 633-669
Novel Solution Method for a System of Linear Algebraic Equations....Pages 671-704
Mathematical Approaches to Coupled Termomechanical Problems....Pages 705-721
Back Matter....Pages 723-777
....