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arXiv 2103.00308cond-mat.mtrl-scics.NAmath.NA
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晶体塑性有限元多尺度框架下蠕变过程中晶界滑移引起的局部应力状态的计算

Evaluation of local stress state due to grain-boundary sliding during creep within a crystal plasticity finite element multi-scale framework

Markian Petkov, Elsiddig Elmukashfi, Edmund Tarleton, Alan C. F. Cocks

摘要:

以往的研究表明,晶界滑动可以加速蠕变速率,并产生大的内应力,可以导致损伤的发展,例如形成楔形裂纹。本研究提供了更多的洞察晶界滑动(GBS)的影响,对现实的多晶聚集体在蠕变过程中的变形行为,通过一个计算框架的发展,结合:i)使用界面元件在晶界处滑动,和ii)特殊的三相点(在2D中)或三线(在3D中)元件,以防止在微结构中的这些位置处的人工扩张,基于晶体塑性本构模型的时间相关的非弹性变形的单个晶粒。不同尺度的实验数据被用来校准框架,并与模型预测进行比较。我们特别考虑316型不锈钢蠕变过程中晶界滑动的影响,该不锈钢广泛用于英国先进气冷核反应堆(AGR)的结构部件。据发现,晶粒的各向异性变形和相邻晶粒之间的晶体取向的失配在确定给定边界上的滑动程度中起着重要的作用。它们对晶粒内应力发展的影响,特别是在三晶粒交界处,以及沿横向边界轴向应力的增加被量化。文章表明,沿刻面的应力的大小是高度依赖于相邻晶粒的结晶取向和相对量的滑动。在相邻晶粒由塑性更硬的晶体取向组成的情况下,横向于所施加的载荷的边界倾向于承载100-180 MPa量级的更高的法向应力。

英文摘要:

Previous studies demonstrate that grain-boundary sliding could accelerate creep rate and give rise to large internal stresses that can lead to damage development, e.g. formation of wedge cracks. The present study provides more insight into the effects of grain-boundary sliding (GBS) on the deformation behaviour of realistic polycrystalline aggregates during creep, through the development of a computational framework which combines: i) the use of interface elements for sliding at grain boundaries, and ii) special triple point (in 2D) or triple line (in 3D) elements to prevent artificial dilation at these locations in the microstructure with iii) a physically-based crystal plasticity constitutive model for time-dependent inelastic deformation of the individual grains. Experimental data at various scales is used to calibrate the framework and compare with model predictions. We pay particular consideration to effects of grain boundary sliding during creep of Type 316 stainless steel, which is used extensively in structural components of the UK fleet of Advanced Gas Cooled Nuclear Reactors (AGRs). It is found that the anisotropic deformation of the grains and the mismatch in crystallographic orientation between neighbouring grains play a significant role in determining the extent of sliding on a given boundary. Their effect on the development of stress within the grains, particularly at triple grain junctions, and the increase in axial stress along transverse boundaries are quantified. The article demonstrates that the magnitude of the stress along the facets is highly-dependent on the crystallographic orientations of the neighbouring grains and the relative amount of sliding. Boundaries, transverse to the applied load tend to carry higher normal stresses of the order of 100-180 MPa, in cases where the neighbouring grains consist of plastically-harder crystallographic orientations.

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