Karim Louca , Katherine S. Shanks , Amlan Das , Darren Pagan , Robert Klassen , Hamidreza Abdolvand
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The specimens were subjected to cyclic loads to study the evolution of stresses in the vicinity of both shallow and deep notches. The soft-texture of the specimens is such that there are no c-axes of grains aligned along the macroscopic loading direction thereby inhibiting deformation twinning. The “as-measured” microstructures and notch geometries were imported into a crystal plasticity finite element model for further analysis. Results show that despite the absence of c-axes of grains aligned along loading direction, the developed stresses were substantially influenced by crystallographic orientations. Stress drop was observed near the onset of plasticity with further loading and the orientation and position effects were highlighted. A plastic deformation mechanism was revealed where, upon specimen loading, the mechanical constraints enforced during grain-grain interactions led to hardening. 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引用次数: 0
摘要
质地、微观结构和局部晶粒相邻关系有助于多晶体局部应力的形成。对于六方紧密堆积材料来说,晶体的弹性和塑性各向异性也可能是一个主要的影响因素,但很少有实验研究关注这些参数对微观局部应力大小的影响程度。本研究通过对双刃缺口软质地α-锆试样进行原位变形,同时使用高能同步辐射 X 射线衍射测量晶粒尺度张量应力,重点解决了这一知识空白。对试样施加循环载荷,以研究浅凹口和深凹口附近的应力演变。试样的软质地使得晶粒没有沿宏观加载方向排列的 c 轴,从而抑制了变形孪生。测量 "的微观结构和凹槽几何形状被导入晶体塑性有限元模型中进行进一步分析。结果表明,尽管晶粒没有沿加载方向排列的 c 轴,但所产生的应力在很大程度上受到晶体取向的影响。随着进一步加载,在塑性开始附近观察到应力下降,取向和位置效应凸显。揭示了一种塑性变形机制,即在试样加载时,晶粒相互作用过程中产生的机械约束导致了硬化。因此,我们设计了一个参数来量化由这一机制引起的晶粒级硬化。结果表明,晶粒尺度应力集中因子在塑性开始之前变化很大,但在塑性区和循环过程中会稳定下来。
The development of grain resolved stress fields around notch tips in soft-textured zirconium polycrystals: A three-dimensional synchrotron X-ray diffraction study
Texture, microstructure, and local grain neighbourhood contribute to the development of localized stresses in polycrystals. For hexagonal close-packed materials, crystal's elastic and plastic anisotropy can also be a major contributing factor, yet there is a paucity of experimental studies focusing on the extent of contribution of such parameters on the magnitude of localized stresses at microscales. This study focuses on addressing this knowledge gap by deforming double-edge-notched soft-textured α-zirconium specimens in-situ, while measuring grain scale tensorial stresses using high energy synchrotron X-ray diffraction. The specimens were subjected to cyclic loads to study the evolution of stresses in the vicinity of both shallow and deep notches. The soft-texture of the specimens is such that there are no c-axes of grains aligned along the macroscopic loading direction thereby inhibiting deformation twinning. The “as-measured” microstructures and notch geometries were imported into a crystal plasticity finite element model for further analysis. Results show that despite the absence of c-axes of grains aligned along loading direction, the developed stresses were substantially influenced by crystallographic orientations. Stress drop was observed near the onset of plasticity with further loading and the orientation and position effects were highlighted. A plastic deformation mechanism was revealed where, upon specimen loading, the mechanical constraints enforced during grain-grain interactions led to hardening. Accordingly, a parameter was devised to quantify the grain level hardening arising from this mechanism. It was shown that grain-scale stress concentration factors vary significantly before the onset of plasticity, but they settle in the plastic zone and with the progression of cycles.
期刊介绍:
International Journal of Plasticity aims to present original research encompassing all facets of plastic deformation, damage, and fracture behavior in both isotropic and anisotropic solids. This includes exploring the thermodynamics of plasticity and fracture, continuum theory, and macroscopic as well as microscopic phenomena.
Topics of interest span the plastic behavior of single crystals and polycrystalline metals, ceramics, rocks, soils, composites, nanocrystalline and microelectronics materials, shape memory alloys, ferroelectric ceramics, thin films, and polymers. Additionally, the journal covers plasticity aspects of failure and fracture mechanics. Contributions involving significant experimental, numerical, or theoretical advancements that enhance the understanding of the plastic behavior of solids are particularly valued. Papers addressing the modeling of finite nonlinear elastic deformation, bearing similarities to the modeling of plastic deformation, are also welcomed.