An axially symmetric contact problem for A truncated sphere in the theory of elasticity
β Scribed by V.M Aleksandrov; D.A Pozharskii
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 344 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
β¦ Synopsis
A method for reducing a problem in the theory of elasticity to a Hilbert boundaxy-value problem, which has been generalized by Vekua , is extendc~l to a mixed axially symmetric problem for a tnmcated sphere, with a rigidly embedded spherical surface.
π SIMILAR VOLUMES
In this paper, we discuss an inverse problem in elasticity for determining a contact domain and stress on this domain. We show that this problem is an ill-posed problem, and we establish the uniqueness and ΒΈ-conditional stability estimation for the stress.
An axisymmetric, fractionally non-linear contact problem for an elastic sphere with a priori unknown boundary of the contact area is considered. An integral equation for determining the density of the contact pressures is constructed taking account of the shear displacements of the boundary points o
An explicit solution is constructed for the axisymmetric problem of the stressed state of a hollow circular cone truncated by two spherical surfaces (the ends of the cone) with a normal load acting on one of the ends (the other end is unloaded) and sliding clamping or the side surfaces of the cone.