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Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
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M. Basheleishvili
Published/Copyright:
February 24, 2010
Abstract
The existence and uniqueness of a solution of the first, the second and the third plane boundary value problem are considered for the basic homogeneous equations of statics in the theory of elastic mixtures. Applying the general Kolosov–Muskhelishvili representations from [Basheleishvili, Georgian Math. J. 4: 223–242, 1997], these problems can be splitted and reduced to the first and the second boundary value problem for an elliptic equation which structurally coincides with the equation of statics of an isotropic elastic body.
Key words and phrases.: Elasticity; elastic mixtures; general representations; Fredholm integral equations; boundary value problems; splitted boundary value problems
Received: 1997-05-15
Published Online: 2010-02-24
Published in Print: 1999-February
© 1999 Plenum Publishing Corporation
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- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
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Keywords for this article
Elasticity;
elastic mixtures;
general representations;
Fredholm integral equations;
boundary value problems;
splitted boundary value problems
Articles in the same Issue
- Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
- A Radial Derivative with Boundary Values of the Spherical Poisson Integral
- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
- On Periodic Solutions of Nonlinear Functional Differential Equations
- Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups
- On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
- Weakly Periodic Sequences of Bounded Linear Transformations: A Spectral Characterization
