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Representation of Solutions of Some Boundary Value Problems of Elasticity by a Sum of the Solutions of Other Boundary Value Problems
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N. Khomasuridze
Published/Copyright:
March 3, 2010
Abstract
Basic static boundary value problems of elasticity are considered for a semi-infinite curvilinear prism Ω = {ρ0 < ρ < ρ1, α0 < α < α1, 0 < 𝑧 < ∞} in generalized cylindrical coordinates ρ, α, 𝑧 with Lamé coefficients ℎρ = ℎα = ℎ(ρ, α), ℎ𝑧 = 1. It is proved that the solution of some boundary value problems of elasticity can be reduced to the sum of solutions of other boundary value problems of elasticity. Besides its cognitive significance, this fact also enables one to solve some non-classical elasticity problems.
Key words and phrases:: Elasticity; boundary value problem; superposition; semi-infinite prism; generalized cylindrical coordinates; regular solution; double series
Received: 2002-04-23
Published Online: 2010-03-03
Published in Print: 2003-June
© Heldermann Verlag
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Keywords for this article
Elasticity;
boundary value problem;
superposition;
semi-infinite prism;
generalized cylindrical coordinates;
regular solution;
double series
Articles in the same Issue
- On ARU-Resolutions of Uniform Spaces
- On the Dimension Modulo Classes of Topological Spaces and Free Topological Groups
- On the Uniform Convergence and 𝐿-Convergence of Double Fourier Series with Respect to the Walsh–Kaczmarz System
- Dynamic Programming and Mean-Variance Hedging in Discrete Time
- Extending Quasi-Invariant Measures by Using Subgroups of a Given Group
- Representation of Solutions of Some Boundary Value Problems of Elasticity by a Sum of the Solutions of Other Boundary Value Problems
- General 𝑀-Estimators in the Presence of Nuisance Parameters. Skew Projection Technique
- A Unified Characterization of 𝑞-Optimal and Minimal Entropy Martingale Measures by Semimartingale Backward Equations
- On the Existence of Continuous Modifications of Vector-Valued Random Fields
- Weak Convergence of a Dirichlet-Multinomial Process
- Time-Dependent Barrier Options and Boundary Crossing Probabilities
- On Separation Properties for Families of Probability Measures
- Oscillation Theorems of Nonlinear Difference Equations of Second Order
- On Bounds for the Characteristic Functions of Some Degenerate Multidimensional Distributions
- Estimates of Fourier Coefficients
- On Approximate Large Deviations for 1D Diffusion
