Computation of length scales for second-order laminated microstructure with surface energy

DOI10.1016/J.APM.2005.10.001zbMath1136.74004OpenAlexW1976958267MaRDI QIDQ924788

Zhiping Li, Liying Liu

Publication date: 19 May 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.2004

zbMATH Keywords

energy minimizationcubic ruleEricksen-James crystals

Mathematics Subject Classification ID

Crystalline structure (74E15) Composite and mixture properties (74E30) Energy minimization in equilibrium problems in solid mechanics (74G65) Micromechanical theories (74A60) Random materials and composite materials (74A40)

Cites Work

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• Fine phase mixtures as minimizers of energy
• Finite order rank-one convex envelopes and computation of microstructures with laminates in laminates
• A periodic relaxation method for computing microstructures
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• ROTATIONAL TRANSFORMATION METHOD AND SOME NUMERICAL TECHNIQUES FOR COMPUTING MICROSTRUCTURES
• Surface energy and microstructure in coherent phase transitions
• Numerical Justification of Branched Laminated Microstructure with Surface Energy
• Computations of needle-like microstructures
• A mesh transformation method for computing microstructures

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