Development and implementation of nonlinear constraint relations for explicit finite element analysis.
Published: 2004
Language: eng
Number of pages: 88
Description: This thesis presents a unified novel technique for enforcing nonlinear beam-to-shell, beam-to-solid, and shell-to-solid constraints in explicit finite element formulations. The limitations of classical transition elements and multi-point constraint approaches are examined at length, particularly in the context of explicit solution schemes. Novel formulation of a generalised constraint method that ensures proper element coupling is then presented, and its computer implementation in explicit integration algorithms is discussed. Crucial in this regard is the accurate and efficient representation of finite rotations, accomplished using an incremental rotation tensor. The results of some illustrative test cases show the accuracy and robustness of the newly developed algorithm for a wide range of deformation, including that in which large rotations are encountered. When compared to existing works, the salient features of the current method are in evidence.
Notes: Adviser: S. A. Meguid.

Thesis (M.A.Sc.)--University of Toronto, 2004.

Electronic version licensed for access by U. of T. users.

Source: Masters Abstracts International, Volume: 42-06, page: 2321.

MICR copy on microfiche (2 microfiches).