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期刊论文
LAMINATED MICROSTRUCTURE IN VARIATIONAL PROBLEMS WITH NON-RANK-ONE CONNECTED DOUBLE WELL POTENTIAL
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Variational problems with non-rank-one connected double well potential are considered. It is proved that the problem has a laminated microstructure solution which is uniquely determined by the two potential wells yet certainly not characterized by the fine oscillations between them because of the lack of rank-one connection. The laminated microstructure is explicitly worked out. It is also shown that an application of a nonconforming finite element method can cause over-relaxation and fail to approximate the right microstructure.
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