A global-local structural analysis method
Abstract
A global-local method is proposed in order to effectively analyze structural problems that may result in a large system of equations. It is accomplished in two steps, i.e., the global analysis and the local analysis. In the global analysis, the regular finite element method, in conjunction with a global coarse mesh, is used to produce a global displacement. Then the local analysis is conducted to analyze detailed stresses in small local regions. In the local analysis, the original large structure is decomposed into many small ones. Besides, parallel computation can easily be introduced in the global-local method. Further development of the global-local method is made by introducing its refined version, i.e., the refined global-local method. Basically, the refined global-local method contains one more step of global computation. Examples have shown that it can produce nearly the same accuracy as the regular finite element method with less computing time. Applications of the global-local methods to elastic-plastic problems as well as error analysis clearly demonstrate their great potential to solve a wide range of problems.
Degree
Ph.D.
Advisors
Sun, Purdue University.
Subject Area
Aerospace materials|Mechanics
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