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Interior and Exterior Problems of Couple-Stress and Classical Elastostatics with Given Friction
Published/Copyright:
March 4, 2010
Abstract
We consider an interior problem of statics of couple-stress elasticity for anisotropic nonhomogeneous media with friction taken into account and the corresponding exterior problem for homogeneous isotropic media. The question of the existence and uniqueness of weak solutions of these problems is studied when friction forces occur along the boundary of an elastic medium or on some part of this boundary.
Key words and phrases:: Friction; couple-stress elasticity; statics; boundary variational inequality; anisotropic nonhomogeneous medium
Received: 2003-02-20
Revised: 2004-09-13
Published Online: 2010-03-04
Published in Print: 2005-March
© Heldermann Verlag
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Keywords for this article
Friction;
couple-stress elasticity;
statics;
boundary variational inequality;
anisotropic nonhomogeneous medium
Articles in the same Issue
- Two-Step Systems for G-H-Relaxed Pseudococoercive Nonlinear Variational Problems Based on Projection Methods
- The Non-Vanishing of First Cohomology Groups for Certain Infinite-Dimensional Complex Manifolds
- On Some Matrix Clifford Algebras
- On the Boundedness and Compactness of Weighted Hardy Operators in Spaces 𝐿𝑝(𝑥)
- On the Uniqueness of the Two-Sided Ergodic Maximal Function
- Interior and Exterior Problems of Couple-Stress and Classical Elastostatics with Given Friction
- Necessary Optimality Conditions for Lipschitz Multiobjective Optimization Problems
- Uniform and 𝐿-Convergence of Logarithmic Means of Double Walsh–Fourier Series
- Generalized De Leeuw Theorem
- On One Estimate for Periodic Functions
- On the Method of Direct Products in the Theory of Quasi-Invariant Measures
- Weighted Estimates for Operators Generated by Maximal Functions on Nonhomogeneous Spaces
- Uniqueness of Non-Linear Differential Polynomials Sharing 1-Points
- Postnikov “Invariants” in 2004
- On 𝑅-Subweakly Commuting Maps and Invariant Approximations in Banach Spaces
- Integral Inequalities for Littlewood–Paley Operators
- Some Algebraic and Geometric Structures on Poisson Manifolds
- Integrability of the Majorant of the Fourier Series Partial Sums with Respect to Bases
- Wintner-Type Oscillation Criteria of Semilinear Elliptic Inequalities
