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Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces
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N. Khomasuridze
Published/Copyright:
February 23, 2010
Abstract
An exact solution of the boundary value problems of thermoelastic equilibrium of a homogeneous isotropic rectangular parallelepiped is constructed. The parallelepiped is affected by a stationary thermal field and surface disturbances, in particular, on each side of the rectangular parallelepiped the following parameters are defined: a normal component of the displacement vector and tangential stresses (nonhomogeneous symmetry conditions) or normal stress and tangential stresses (nonhomogeneous antisymmetry conditions). The solution of the problems is constructed in series using the method of separation of variables.
Key words and phrases:: Thermoelasticity; boundary value problem; rectangular paralleleppiped; symmetry conditions; antisymmetry conditions; nonhomogeneous compatibility conditions; Fourier method
Received: 1999-09-06
Published Online: 2010-02-23
Published in Print: 2000-December
© Heldermann Verlag
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Keywords for this article
Thermoelasticity;
boundary value problem;
rectangular paralleleppiped;
symmetry conditions;
antisymmetry conditions;
nonhomogeneous compatibility conditions;
Fourier method
Articles in the same Issue
- The Morse Formula for Curves Which are not Locally Simple
- Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
- A Note on the Theorem on Differential Inequalities
- Singular Integral Equations in Special Weighted Spaces
- On Multidimensional SDEs Without Drift and with A Time-Dependent Diffusion Matrix
- Uniform Convergence of N-Dimensional Trigonometric Fourier Series
- Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions
- On Generalized Sklyanin Algebras
- Thermoelastic Equilibrium of A Rectangular Parallelepiped with Nonhomogeneous Symmetry and Antisymmetry Conditions on its Faces
- On the Teichmüller-Kühnau Extension of Univalent Functions
- Embeddings and Entropy Numbers for General Weighted Sequence Spaces: The Non-Limiting Case
- Oscillation Properties of Even Order Neutral Differential Equations with Deviating Arguments
- On Bausov-Telyakovskii Type Results
- A Semimartingale Bellman Equation and the Variance-Optimal Martingale Measure
- The Construction of the Bases of Some Eight Level Cusp Form Spaces