The asymptotic solution of the contact problem for a three-dimensional elastic body of finite dimensions
โ Scribed by I.I. Argatov
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 353 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
The asymptotic form of Green's vector function with a pole on the boundary is calculated by the method of matched asymptotic expansions. The expansion obtained is used to construct the asymptotic form of the contact pressure. The equations of the contact problem are derived with integral corrections, which take into account the nature of the attachment and the geometry of the elastic body. Examples of calculations for an elliptic punch are given.
๐ SIMILAR VOLUMES
A uniformly applicable solution is constructed in the neighbourhood of the leading edges of a thin three-dimensional body penetrating into a compn:ssihle fluid. Examples of such solutions are given for thin cyclically-symmetric bodies with plane facets for various entry conditions.
The equilibrium of linearly-elastic elongated bodies (rods) with an extremely arbitrary geometry and structure subjected to the effects of force and heat is considered. Owing to the presence of a small parameter--the relative thickness--this is a singularly perturbed problem. The asymptotic analysis