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Journal of Intelligent Material Systems and Structures
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Computation of Microstructure Utilizing Young Measure Representations

R.A. Nicolaides

Center for Nonlinear Analysis Department of Mathematics Carnegie Mellon University Wean Hall, 6113 Pittsburgh, PA 15213

Noel J. Walkington

Center for Nonlinear Analysis Department of Mathematics Carnegie Mellon University Wean Hall, 6113 Pittsburgh, PA 15213

An algorithm is proposed for the solution of non-convex variational problems. In order to avoid representing highly oscillatory functions on a mesh, an associated Young measure, which characterizes such oscillations, is also approximated. Sample calculations demonstrate the viability of this approach.

Journal of Intelligent Material Systems and Structures, Vol. 4, No. 4, 457-462 (1993)
DOI: 10.1177/1045389X9300400403
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