2-D Dynamic Cavity Expansion Model for Arbitrary Tractions
Abstract
A 2-D dynamic cavity expansion model is developed for the cylindrical cavity in an infinite medium subjected to an asymmetric constant velocity vector as a surface traction on the cavity wall. The equation of motion for an elemental volume of elastic material in plane strain and in polar coordinates is used. The analysis dealing with the exterior of the cavity consists of Hankel functions of the first kind. The Least square procedures and the Fourier transforms are employed for the elastic problems. As a first technique, Least square procedures has been used to solve the unknown constants of the elastic solutions with the initial conditions on the cavity surface. Algorithms of inverse fast Fourier transforms (FFT) will be an efficient technique for this case. For each discrete time step, the equilibrium equations, along with the von-Mises yield condition, are solved for the solutions in the plastic region. The model can be also applied when arbitrary normal and tangential tractions acting on the surface of the circular cavity are prescribed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1997
- Accession Number
- ADA348508
Entities
People
- Hyung J. Woo
Organizations
- University of Texas at Austin