Plastic deformation induced microstructure evolution through gradient enhanced crystal plasticity based on a non-convex Helmholtz energy

Plastic deformation induced microstructure evolution through gradient enhanced crystal plasticity based on a non-convex Helmholtz energy
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塑性变形通过基于非凸亥姆霍兹能量的梯度增强晶体塑性诱导微观结构演化

DOI:
10.1016/j.ijplas.2013.02.012
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发表时间:
2013
影响因子:
9.8
通讯作者:
T. Yalçinkaya
T. Yalçinkaya
中科院分区:
材料科学1区
文献类型:
--
作者:
B. Klusemann;T. Yalçinkaya

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在连续介质热力学和速率变分理论的框架下,建立了描述非凸含能强化体系塑性变形图样的梯度晶体塑性模型。本文重点研究了Yalcinkaya等人的一维变形模式分析的推广。(2011)到2D的单调加载历史。求解算法是基于位移场和塑性滑移场的同时求解,这两个场一直被认为是主要变量。在Landau-Devonshire形式的塑性滑移势中加入了非凸性,使得框架采用了变形和塑性滑移场之间强耦合的双重相场模拟方法。在相场建模方法中,耦合是相当弱的,即不需要像当前基于总应变分解的方法那样进行场耦合。数值算例说明了层合型组织的内在形成及其在机械载荷作用下的演化,以及宏观硬化-软化-应力平台响应。详细研究了不同滑移系统数、加载速率和边界条件对计算结果的影响。
A gradient crystal plasticity model in the framework of continuum thermodynamics and rate variational formulation is presented for the description of plastic deformation patterning in a system with non-convex energetic hardening. The paper focuses on the extension of the 1D deformation patterning analysis of Yalcinkaya et al. (2011) to 2D for monotonic loading histories. Solution algorithm is based on the simultaneous solution of displacement and plastic slip fields, which have been considered as primary variables. The incorporation of non-convexity in the plastic slip potential in the Landau–Devonshire form makes the framework dual to phase field modeling approaches with a strong coupling between the deformation and the plastic slip fields. In the phase field modeling approaches the coupling is rather weak, i.e. fields do not have to be coupled as in the current approach based on the decomposition of the total strain. The numerical examples illustrate the intrinsic formation of (laminate type) microstructures and their evolution under mechanical loading together with the macroscopic hardening–softening–stress plateau response. The effect of different number of slip systems, loading rates and boundary conditions are investigated in detail.
DOI: 10.1016/j.actamat.2012.09.064
发表时间: 2013-01-01
期刊: ACTA MATERIALIA
影响因子: 9.4
作者:
Steinmetz, David R.;Japel, Tom;Raabe, Dierk
通讯作者: Raabe, Dierk