An asymptotic method in contact problems
โ Scribed by V.M. Aleksandrov; D.A. Pozharskii
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 400 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
A modification of the "small ~" singular asymptotic method of solving the integral equations of mixed problems in continuum mechanics [1] is proposed in the case of a special behaviour of the symbol of the kernel encountered, for example, in contact problems of the theory of elasticity for cylindrical and conical bodies [2--4]. Contact problems for elastic cylindrical bodies are considered as an example.
๐ SIMILAR VOLUMES
An asymptotic method is proposed for solving non-stationary dynamic contact problems in elasticity theory and acoustics for the case when the half-thickness of the punch exceeds the layer thickness. The method is demonstrated by solving anti-plane non-stationary dynamic contact problems concerning t
## Regular and singular asymptotic methods are applied to one-and two-dimensional integral equations of the first kind with irregular kernels that arise in the treatment of various twodimensional axisymmetric and three-dimensional problems in contact mechanics.
A new method to solve linear dynamics problems using an asymptotic method is presented. Asymptotic methods have been efficiently used for many decades to solve non-linear quasistatic structural problems. Generally, structural dynamics problems are solved using finite elements for the discretization