论文标题
在无限菌株中描述多晶材料中孪晶的非本地模型：应用于镁合金
A non-local model for the description of twinning in polycrystalline materials in the context of infinitesimal strains: application to a magnesium alloy
论文作者
论文摘要
提出了一个多晶可塑性模型，其中包含变形孪生的贡献。为此，每个材料点都被视为由母体成分和多个双胞胎变体组成的复合材料。在本构方程中，双体积分数及其空间梯度被视为外部状态变量，以说明双界对自由能的贡献。组成关系集在光谱求解器中实现，该求解器允许求解由平衡和兼容条件产生的微分方程。然后，该模型用于研究AZ31镁合金的行为。对于所研究的加载条件，机械行为由基底滑动和拉伸双孪晶的联合贡献控制。同样，根据数值结果，晶体学质地，形态质地和内部应力的发展与文献的实验观察一致。
A polycrystalline plasticity model, which incorporates the contribution of deformation twinning, is proposed. For this purpose, each material point is treated as a composite material consisting of a parent constituent and multiple twin variants. In the constitutive equations, the twin volume fractions and their spatial gradients are treated as external state variables to account for the contribution of twin boundaries to free energy. The set of constitutive relations is implemented in a spectral solver, which allows solving the differential equations resulting from equilibrium and compatibility conditions. The proposed model is then used to investigate the behavior of a AZ31 magnesium alloy. For the investigated loading conditions, the mechanical behavior is controlled by the joint contribution of basal slip and tensile twinning. Also, according to the numerical results, the development of crystallographic texture, morphological texture and internal stresses is consistent with the experimental observations of the literature.
