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Boundary Variational Inequality Approach in the Anisotropic Elasticity for the Signorini Problem
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A. Gachechiladze
Published/Copyright:
February 24, 2010
Abstract
The purpose of the paper is reducing the three-dimensional Signorini problem to a variational inequality which occurs on the two-dimensional boundary of a domain occupied by an elastic anisotropic body. The uniqueness and existence theorems for the solution of the boundary variational inequality are proved and a boundary element procedure together with an abstract error estimate is described for the Galerkin numerical approximation.
Received: 2001-04-11
Published Online: 2010-02-24
Published in Print: 2001-September
© Heldermann Verlag
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Articles in the same Issue
- A New Method of Solving the Basic Plane Boundary Value Problems of Statics of the Elastic Mixture Theory
- Euler Polynomials and the Related Quadrature Rule
- MD-Numbers and Asymptotic MD-Numbers of Operators
- Boundary Variational Inequality Approach in the Anisotropic Elasticity for the Signorini Problem
- On Vector Sums of Measure Zero Sets
- Hyper-Holomorphic Cells and Fredholm Theory
- On a Representation of the Derivative of a Conformal Mapping
- On a Trace Inequality for One-Sided Potentials and Applications to the Solvability of Nonlinear Integral Equations
- Quasiconformal Deformations of Holomorphic Functions
- Convolutional Codes and Frequency Responses
- Boundary Integral Equations of Plane Elasticity in Domains with Peaks
- Pluriregular, Plurigeneralized Regular Equations in Clifford Analysis
- On Volterra Type Singular Integral Equations
