On an Axisymmetric Free Boundary Problem.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
The axisymmetric elastic-plastic torsion of a shaft of general shape subject to the Hencky consistency condition with the von Mises yield function is considered. It is proved that the Haar-Karman principle is valid in this case, and that the problem is essentially two-dimensional. The problem is reformulated as a variational inequality, and the existence and uniqueness of the solution is studied.
- Theoretical Mathematics