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Research Abstracts Online
January 2008 - March 2009

University of Minnesota Twin Cities
Institute of Technology
Department of Civil Engineering

PI: Steven L. Crouch

Transient Thermoelasticity Problems in Composite and Porous Media

This project is concentrated on a transient heat conduction problem of an infinite medium containing multiple circular (in two dimensions) or spherical (in three dimensions) cavities (pores). The researchers are developing a numerical method of solution that is capable of accurately computing the time-dependent thermoelastic fields anywhere within the material, without the need to consider a series of discrete time steps, as in conventional numerical solution procedures. The approach is based on the use of a complex variable boundary integral method and the Laplace transform. A significant feature of this approach is the capability to directly simulate the time-dependent behavior of composite and porous materials by explicitly modeling their structure by numerous randomly distributed inhomogeneities and pores of arbitrary size. The effective properties of an equivalent homogeneous material can then be found directly from the properties of microstructural elements. The group is testing their approach by a comparison of their results with the results obtained with the finite-element software programs ANSYS Comsol Multiphysics.

Group Member

Sofia G. Mogilevskaya, Faculty Collaborator