Low volume-fraction microstructures in martensites and crystal plasticity
作者： Sergio Conti , Barbara Zwicknagl
DOI:
关键词: Slip (materials science) 、 Microstructure 、 Scaling 、 Mesoscopic physics 、 Laminar flow 、 Condensed matter physics 、 Volume fraction 、 Branching (polymer chemistry) 、 Phase diagram 、 Materials science
摘要: We study microstructure formation in two nonconvex singularly-perturbed variational problems from materials science, one modeling austenite-martensite interfaces shape-memory alloys, the other slip structures plastic deformation of crystals. For both functionals we determine scaling optimal energy terms parameters problem, leading to a characterization mesoscopic phase diagram. Our results identify presence new phase, which is intermediate between classical laminar microstructures and branching patterns. The characterized by partial branching, appears for limit small volume fraction, that is, if variants (or systems) dominates picture fraction small.
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arxiv.org参考文章(42)
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