Shells in Temperature Fields: Advances in Mechanics and Mathematics

Shells are thin, curved structures that are used in a wide variety of applications, from aerospace to civil engineering. When shells are subjected to temperature changes, they can experience significant deformations and stresses. This book provides a comprehensive overview of the mechanics and mathematics of shells in temperature fields, with a focus on the latest advances in the field.

Mathematical Models of Higher Orders: Shells in Temperature Fields (Advances in Mechanics and Mathematics Book 42)

by Henk Barendregt

4.1 out of 5

Language	:	English
File size	:	16569 KB
Screen Reader	:	Supported
Print length	:	482 pages

FREE

The book is divided into three parts.

1. Part I: Fundamentals of Shell Theory
2. Part II: Shells in Temperature Fields
3. Part III: Advanced Topics

Part I provides a foundation in the fundamentals of shell theory, including the governing equations of elasticity and plasticity. Part II focuses on the behavior of shells in temperature fields, including the effects of thermal stresses and deformations. Part III covers advanced topics, such as the nonlinear behavior of shells and the use of numerical methods to solve shell problems.

This book is an essential resource for researchers and engineers who are working on the mechanics and mathematics of shells in temperature fields. It is also a valuable reference for graduate students who are interested in this field.

Table of Contents

• Part I: Fundamentals of Shell Theory
• The Governing Equations of Elasticity
• The Governing Equations of Plasticity
• Linear Elastic Shell Theory
• Nonlinear Elastic Shell Theory
• Plastic Shell Theory
• Part II: Shells in Temperature Fields
• Thermal Stresses in Shells
• Thermal Deformations in Shells
• Nonlinear Behavior of Shells in Temperature Fields
• Numerical Methods for Solving Shell Problems in Temperature Fields
• Part III: Advanced Topics
• The Finite Element Method for Shells
• The Boundary Element Method for Shells
• The Method of Lines for Shells
• The Perturbation Method for Shells
• The Variational Method for Shells

Author

The author of this book is Professor John Doe. Professor Doe is a leading expert in the field of shell mechanics. He has published over 100 papers on the subject and has written several books. He is currently a professor at the University of California, Berkeley.

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Mathematical Models of Higher Orders: Shells in Temperature Fields (Advances in Mechanics and Mathematics Book 42)

by Henk Barendregt

4.1 out of 5

Language	:	English
File size	:	16569 KB
Screen Reader	:	Supported
Print length	:	482 pages

FREE