Proper Generalized Decomposition (PGD) for the numerical simulation of polycrystalline aggregates under cyclic loading
Proper Generalized Decomposition (PGD) for the numerical simulation of polycrystalline aggregates under cyclic loading
复制标题
适用于循环加载下多晶聚集体数值模拟的广义广义分解 (PGD)
DOI：
10.1016/j.crme.2017.11.009
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发表时间：
2018
影响因子：
0.8
通讯作者：
F. Morel
中科院分区：
文献类型：
--
作者：
M. A. Nasri;C. Robert;A. Ammar;S. E. Arem;F. Morel
金属材料的高周疲劳（HCF）对于涉及许多力学领域的许多部件来说是一个重要问题。它的特点是负载水平较低，导致失效所需的循环次数通常在 105 到 107 之间。在这种情况下，在发生机制的尺度（微观结构的尺度）上观察到的裂纹萌生建模并不简单。事实上，材料力学中最具挑战性的任务之一是获得多晶聚集体晶粒尺度的机械响应，特别是当它受到循环载荷时 [1]。局部塑性、微观结构异质性和晶体取向在裂纹的萌生和扩展中起着至关重要的作用。对于这个问题，通常需要达到稳定状态才能获得关键区域的应力和应变的各种力学状态。从数值角度来看，在单调加载下执行计算是不够的。需要对整个循环负载历史进行模拟。在过去的二十年里，微观结构尺度材料的数值模拟得到了极大的发展。不同的数值方法已被用来明确地模拟多晶：
High Cycle Fatigue (HCF) of metallic materials is an important issue for many components involved in many areas of mechanics. It is characterized by a low level of loading and leads to a number of cycles required to cause failure generally between 105 and 107. In this regime, the modelling of crack initiation observed at the scale where the mechanisms take place (scale of the microstructure) is not straightforward. Indeed, one of the most challenging tasks in the mechanics of materials is to get access to the mechanical response at the grain scale of a polycrystalline aggregate, especially when it is subjected to cyclic loading [1]. Local plasticity, microstructural heterogeneities, and crystal orientations play an essential role in the initiation and growth of cracks. Regarding this matter, it is often necessary to reach a stabilized state to get the various mechanical states of stress and strain in the critical zones. From a numerical point of view, performing computation under monotonic loading is not sufficient. A simulation of the entire cyclic load history is needed. The numerical modelling of materials at the microstructural scale has been greatly developed over the last two decades. Different numerical methods have been used to explicitly model a polycrystal: the