MULTISCALE MODELLING AND COMPUTATION OF MICROSTRUCTURES IN MULTI-WELL PROBLEMS
MULTISCALE MODELLING AND COMPUTATION OF MICROSTRUCTURES IN MULTI-WELL PROBLEMS
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DOI：
10.1142/s0218202504003647
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发表时间：
2004-09
影响因子：
3.5
通讯作者：
Zhiping Li
中科院分区：
文献类型：
--
作者：
Zhiping Li
建立了计算大且不均匀变形的微观结构的多尺度模型和数值方法，通过有限阶一阶凸包络与有限元方法的耦合来恢复微观和宏观信息。该方法能够计算局部有限阶层压板的微观结构。双井问题的数值实验表明，由分段简单双层板组成的微结构可以实现大量无应力大变形。
A multiscale model and numerical method for computing microstructures with large and inhomogeneous deformation is established, in which the microscopic and macroscopic information is recovered by coupling the finite order rank-one convex envelope and the finite element method. The method is capable of computing microstructures which are locally finite order laminates. Numerical experiments on a double-well problem show that plenty of stress free large deformations can be achieved by microstructures consisting of piecewise simple twin laminates.