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2017 | Buch

Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity

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Über dieses Buch

This book presents problems and solutions of the mathematical theories of thermoelasticity and magnetothermoelasticity. The classical, coupled and generalized theories are solved using the eigenvalue methodology. Different methods of numerical inversion of the Laplace transform are presented and their direct applications are illustrated. The book is very useful to those interested in continuum mechanics.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Basic Ideas
Abstract
The foundations of thermoelasticity were laid in the first half of the nineteenth century.
B. Das
Chapter 2. Vector-matrix Differential Equation and Numerical Inversion of Laplace Transform
Abstract
A differential equation and a set of differential (simultaneous linear ordinary differential equations or partial differential equations) equations are written in the form of a Vector-matrix differential equation which is then solved by eigenvalue approach methodology.
B. Das
Chapter 3. Coupled Thermoelasticity
Abstract
In this problem, we study the problem of coupled thermoelasticity for an isotropic cylindrical cavity under the dependence of coefficients of elasticity on reference temperature, then the basic equations of this problem have been written in the form of a Vector-matrix differential equation. In the harmonic field, the normal mode analysis is used to obtain the analytical expressions of displacement, temperature, and stresses, and also these results are compared with the parameters which are used in this problem.
B. Das
Chapter 4. Generalized Thermoelasticity
Abstract
In the context of Green–Naghdi Model-II (1993), the governing equations for a infinite isotropic and homogeneous medium with a spherical cavity have been written in Laplace transform domain.
B. Das
Chapter 5. Generalized Magnetothermoelasticity
Abstract
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B. Das
Backmatter
Metadaten
Titel
Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity
verfasst von
B. Das
Copyright-Jahr
2017
Electronic ISBN
978-3-319-48808-0
Print ISBN
978-3-319-48807-3
DOI
https://doi.org/10.1007/978-3-319-48808-0

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