Relaxation of an Energy Model for the Triangle-to-Centred Rectangle Transformation
Relaxation of an Energy Model for the Triangle-to-Centred Rectangle Transformation
复制标题
三角形到中心矩形变换的能量模型的松弛
DOI：
10.1007/978-981-10-0962-4_11
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Pierluigi Cesana
中科院分区：
文献类型：
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作者：
Philip Broadbridge;Dimetre Triadis;Dilruk Gallagea and Pierluigi Cesana;Pierluigi Cesana
我们对弹性晶体的二维三角形到中心矩形的变换进行了建模和分析。通过考虑金兹堡-朗道模型，我们计算了可压缩和不可压缩材料的总能量松弛，并构造了一些可能的显式微结构作为非凸极小化问题的近似解。
We model and analyze the two-dimensional triangle-to-centred rectangle transformation of elastic crystals. By considering a Ginzburg–Landau type model, we compute the relaxation of the total energy both in the case of compressible and incompressible materials and construct some possible explicit microstructures as the approximate solutions of a non-convex minimization problem.