Boundary element modeling of elasticity in materials in terms of distribution of second phase structures

The Boundary Element Method is used to study the interaction of second phase objects in a material. In particular, this study examines the relationship between stress parameters, such as stress concentration and normal traction, and geometrical parameters such as separation distance and orientation. The use of BEM enables easy manipulation of internal objects and rapid re-calculation in a series of simulations. Additional library functions are added to Julian, a general BEM solver, to expand its functionality to include elasticity calculation, inclusion modeling, and shape optimization with parallel processing. With a few thousand nodes, it is found that computation time scales as O(V), where N is the resolution of the mesh in each direction. An accuracy of over 99% is achieved in many benchmarks. A spherical cavity next to an inclusion is found to have higher stress concentration when aligned parallel to the loading direction. Stress analysis on a pair of neighboring cavities shows relatively small (less than 10%) increase in stress concentration beyond a separation of 0.5 diameter.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Materials Science and Engineering.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2006

Author dc:creator

• Lok, Yi Cheung

Advisor dc:contributor.advisor

• Adam C. Powell, IV.

• Materials Science and Engineering.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/36212

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/36212