Rate-Independent Deformation Patterning in Crystal Plasticity

Rate-Independent Deformation Patterning in Crystal Plasticity
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晶体塑性中与速率无关的变形图案

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
T. Yalçinkaya
T. Yalçinkaya
中科院分区:
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作者:
G. Lancioni;Gianluca Zitti;T. Yalçinkaya

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金属成形过程涉及到连续的应变路径变化,诱导塑性各向异性,这可能导致材料的失效。在单调加载和非比例加载条件下,位错微观结构的形成和演化对材料的感生各向异性有着重要的影响。因此,研究微观结构的演变对理解宏观瞬态塑性行为的基本物理机制是非常重要的。本文在多滑移晶体塑性框架下研究了非凸塑性能引起的变形斑图。采用增量变分方法,得到了与速率无关的模型,该模型与[Yalcinkaya,Brekelmans,Geers,Int. J. of Solids and Structures,49,2625-2636,2012]中提出的速率相关公式具有许多相似之处,但是模型的耗散特性存在明显差异。利用Landau-Devonshire双势阱研究了塑性势对位错微观结构演化的影响。进行了数值模拟,并就所观察到的金属微观结构演变的结果进行了讨论。
Metal forming processes involve continuous strain path changes inducing plastic anisotropywhich could result in the failure of the material. It has been often observed that the formation andevolution of meso-scale dislocation microstructures under monotonic and non-proportional loading have substantial effect on the induced anisotropy. It is therefore quite crucial to study the microstructureevolution to understand the underlying physics of the macroscopic transient plastic behavior. In thiscontext the deformation patterning induced by the non-convex plastic energies is investigated in amulti-slip crystal plasticity framework. An incremental variational approach is followed, which resultsin a rate-independent model exhibiting a number of similarities to the rate-dependent formulationproposed in [Yalcinkaya, Brekelmans, Geers, Int. J. of Solids and Structures, 49, 2625-2636, 2012].However there is a pronounced difference in the dissipative character of the models. The influenceof the plastic potential on the evolution of dislocation microstructures is studied through a Landau-Devonshire double-well plastic potential. Numerical simulations are performed and the results arediscussed with respect to the observed microstructure evolution in metals.
用于变形模式、局部化和断裂的基于能量的非局部塑性模型
DOI: 10.1098/rspa.2015.0275
发表时间: 2015
期刊: Mathematical, Physical and Engineering Sciences
影响因子: --
作者:
Lancioni G
通讯作者: Lancioni G