✦ LIBER ✦
Laminated Microstructure in a Variational Problem with a Non-Rank-One Connected Double Well Potential
✍ Scribed by Zhiping Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 178 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
A variational problem with a non-rank-one connected double well potential is 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 overrelaxation and fail to approximate the right microstructure.