A Two-dimensional crack problem
β Scribed by M. Lowengrub
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 624 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0020-7225
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Two-dimensional linear elastic fracture mechanics analysis of the opening-mode crack problem is carried out, in order to use a localized finite element method. The stress distribution near the crack-tip is stated in the form of eigensolutions obtained by a classical separation variables technique.
We consider in this paper a system of equations modelling a steady-state induction heating process for 'two-dimensional geometries'. Existence of a solution is stated in ΒΌN( ) Sobolev spaces and is derived using the Leray-Schauder's fixed point theory.
The new energy release rate equation for the crack problem with centrifugal loads is presented. Using the concept of the shape design sensitivity, the final analytical equation is derived by the energy principle and the material derivative. Any numerical tool such as the finite element method can be