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Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity

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Release : 2016-11-25
Genre : Science
Kind : eBook
Book Rating : 082/5 ( reviews)

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Book Synopsis Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity by : B. Das

Download or read book Problems and Solutions in Thermoelasticity and Magneto-thermoelasticity written by B. Das. This book was released on 2016-11-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamic Problems of Thermoelasticity

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Release : 1975-12-31
Genre : Science
Kind : eBook
Book Rating : 454/5 ( reviews)

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Book Synopsis Dynamic Problems of Thermoelasticity by : W. Nowacki

Download or read book Dynamic Problems of Thermoelasticity written by W. Nowacki. This book was released on 1975-12-31. Available in PDF, EPUB and Kindle. Book excerpt:

Thermoelasticity

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Release : 2013-10-22
Genre : Science
Kind : eBook
Book Rating : 486/5 ( reviews)

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Book Synopsis Thermoelasticity by : Witold Nowacki

Download or read book Thermoelasticity written by Witold Nowacki. This book was released on 2013-10-22. Available in PDF, EPUB and Kindle. Book excerpt: Thermoelasticity, Second Edition reviews advances in thermoelasticity and covers topics ranging from stationary problems of thermoelasticity to variational theorems of stationary thermoelasticity; stresses due to the action of a discontinuous temperature field in an infinite elastic body; the action of heat sources in the elastic space; and thermal inclusions in an infinite disc and semi-infinite disc. Three different sets of differential equations describing the fields of strain and temperature are presented. This book is comprised of 12 chapters and begins with a discussion on basic relations and equations of thermoelasticity. Thermoelasticity is treated as a synthesis of the theory of elasticity and the theory of heat conduction. Some particular cases of thermoelasticity are then investigated, including stationary problems, the theory of thermal stresses, and classical dynamic elasticity. Dynamic effects due to the action of a non-stationary temperature field are examined, along with plane harmonic waves in an elastic space and thermal stresses in plates, shells, and viscoelastic bodies. The final chapter focuses on micropolar thermoelasticity, magnetothermoelasticity, and thermopiezoelectricity. This monograph will be of interest to physicists and mechanical engineers.

Boundary Value Problems in Magneto-Elasticity / Magneto- Thermoelasticity and Magneto Hydrodynamics

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Release : 1994
Genre : Magnetic fields
Kind : eBook
Book Rating : 125/5 ( reviews)

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Book Synopsis Boundary Value Problems in Magneto-Elasticity / Magneto- Thermoelasticity and Magneto Hydrodynamics by : Animesh Basu

Download or read book Boundary Value Problems in Magneto-Elasticity / Magneto- Thermoelasticity and Magneto Hydrodynamics written by Animesh Basu. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

Steady-State Problems of Nonlinear Electro-Magneto-Thermo-Elasticity

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Release : 1986
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Book Synopsis Steady-State Problems of Nonlinear Electro-Magneto-Thermo-Elasticity by : Robert C. Rogers

Download or read book Steady-State Problems of Nonlinear Electro-Magneto-Thermo-Elasticity written by Robert C. Rogers. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the steady-state behavior of solids that can sustain mechanical, electromagnetic, and thermal effects. The authors examine a class of boundary-value problems for a quasilinear system of functional differential equations that is derived from a very general model for such materials. They propose a physically reasonable constitutive theory which leaves this system amenable to modern methods of partial differential equations. The principal assumption is a modified version of the strong ellipticity condition. Part I proves existence results for the general system under some special physical assumptions (rigidity and hyperelasticity). The formulation admits non-local interactions caused by the magnetic 'self-field' generated by the deformed, conducting body. Part II shows the existence and regularity of solutions of a system of functional ordinary differential equations arising from a semi-inverse problem in a more comprehensive physical situation. Keywords: Smooth solutions; Polyconvex energy functions; Electro-elastic coupling; Magneto-elastic coupling; Conducting rods; Thermo-elastic coupling. (Author).

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