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The effect of initial stress and inhomogeneity on the thermoelastic stresses in a rotating anisotropic solid
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In this paper, a general treatment of the transient thermoelastic stresses in a rotating nonhomogeneous anisotropic solid under compressive initial stress is presented, and the system of fundamental equations is solved by means of a boundary element method (BEM).Abstract:
The present paper presents a general treatment of the transient thermoelastic stresses in a rotating nonhomogeneous anisotropic solid under compressive initial stress. The system of fundamental equations is solved by means of a boundary element method (BEM) and the numerical calculations are carried out for the temperature, displacement components and stress components. The results indicate that the effects of inhomogeneity and initial stress are very pronounced.read more
Citations
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A time-stepping drbem for magneto-thermo-viscoelastic interactions in a rotating nonhomogeneous anisotropic solid
TL;DR: In this article, a numerical model based on the dual reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic stresses in a nonhomogeneous anisotropic solid subjected to a heat source is presented.
Journal ArticleDOI
A time-stepping DRBEM for the transient magneto-thermo-visco-elastic stresses in a rotating non-homogeneous anisotropic solid
TL;DR: In this article, the transient magneto-thermo-visco-elastic stresses in a nonhomogeneous anisotropic solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about it with a constant angular velocity were studied.
Journal ArticleDOI
Implicit–explicit time integration DRBEM for generalized magneto-thermoelasticity problems of rotating anisotropic viscoelastic functionally graded solids
TL;DR: In this article, a numerical computer model based on the dual reciprocity boundary element method (DRBEM) is extended to study the generalized theories of magneto-thermoelasticity problems in a rotating anisotropic viscoelastic functionally graded solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity.
Journal ArticleDOI
Transient magneto-thermoviscoelastic plane waves in a non-homogeneous anisotropic thick strip subjected to a moving heat source
TL;DR: In this paper, the transient wave propagations in a nonhomogeneous anisotropic thermoviscoelastic thick strip placed in a constant primary magnetic field and subjected to a moving heat source were studied.
Journal ArticleDOI
Transient Magneto-Thermo-Elastic Stresses in an Anisotropic Viscoelastic Solid with and Without a Moving Heat Source
TL;DR: In this article, the effect of a moving heat source on the transient magneto-thermo-visco-elastic stresses in a nonhomogeneous anisotropic solid is studied by means of a dual reciprocity boundary element method.
References
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Journal ArticleDOI
Mechanics of Incremental Deformation
Maurice A. Biot,D. C. Drucker +1 more
TL;DR: In this paper, the authors present an approach to non-linear elasticity which is characterized by the use of cartesian concepts and of elementary mathematical methods that do not require a knowledge of the tensor calculus or other more specialized techniques.
Book
Boundary element method: fundamentals and applications
Federico París,J. Cañas +1 more
TL;DR: A computer program to solve 2D elasticity problems based on BEM is described in this article. But it is not suitable for solving 2D Laplace Equations, since it is computationally difficult.
Journal ArticleDOI
Complex hypersingular integrals and integral equations in plane elasticity
TL;DR: In this paper, complex hypersingular integrals and integral equations are considered in the functional class of N. Muskhelishvili and three regularization (equivalence) formulae follow from this definition.
Journal ArticleDOI
Solving linear diffusion equations with the dual reciprocity method in Laplace space
TL;DR: In this paper, the dual reciprocity method (DRM) is applied in the Laplace space to solve efficiently time-dependent diffusion problems, and three numerical examples are presented, which demonstrate well the efficiency and accuracy of the new approach.
Journal ArticleDOI
Thermal stresses in a rotating non-homogeneous orthotropic hollow cylinder
TL;DR: In this article, the radial deformation and the corresponding stresses in a non-homogeneous hollow elastic cylinder rotating about its axis with a constant angular velocity are investigated, and the results indicate that the effect of inhomogeneity is very pronounced.