今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇
Unraveling elastochemical effects in microstructural evolution of Al-Cu-Ni system through DFT-informed multi-phase field simulations
Sachin Poudel, Nele Moelans, Rubi Thapa, Anna Timofiejczuk, Dhruba Panthi, Anil Kunwar
doi:10.1016/j.ijsolstr.2024.112894
利用dft信息多相场模拟揭示Al-Cu-Ni体系微观结构演化中的弹性化学效应
Through the multi-phase field method, this research explores microstructure evolution within the Al-Cu-Ni system comprising Al-rich FCC, Al2Cu, and Al3Ni intermetallic compounds (IMCs). Notably, the Al3Ni exhibits substantial growth due to its higher free energy magnitude, while the Al2Cu phase diminishes within the FCC matrix. Additionally, this study investigates the impact of heterogeneous elastic effects on these microstructural changes. Density functional theory calculations were employed to determine temperature-dependent elastic tensor at a simulation temperature of 723 K. Initially both cases, simulations with elastic constants at 0 K and 723 K, start with identical grain areas. But by 21.45 ms, deviations notably intensify to 18.18% for single grains, underlining the importance of temperature-calibrated elastic tensor in the phase evolution driven by elastochemical effects.
通过多相场方法,本研究探索了由富铝 FCC、Al2Cu 和 Al3Ni 金属间化合物 (IMC) 组成的 Al-Cu-Ni 体系中的微观结构演变。值得注意的是,Al3Ni 因其自由能较高而呈现出大幅增长,而 Al2Cu 相则在 FCC 基体中逐渐减少。此外,本研究还探讨了异质弹性效应对这些微观结构变化的影响。密度泛函理论计算用于确定模拟温度为 723 K 时随温度变化的弹性张量。在两种情况下,模拟温度分别为 0 K 和 723 K 时的弹性常数,开始时晶粒面积相同。但到 21.45 毫秒时,单个晶粒的偏差明显增大到 18.18%,这突出了温度校准弹性张量在弹性化学效应驱动的相演变中的重要性。
Impact of out-of-plane deformation on atomic reconstruction in twisted van der Waals bilayers
Baidu Zhang, Wei Qiu, Xiangbiao Liao, Linghui He, Yong Ni
doi:10.1016/j.jmps.2024.105693
面外变形对扭曲范德华双层中原子重构的影响
The effects of out-of-plane deformation on atomic relaxation in twisted van der Waals bilayers are investigated by comprehensive multiscale modeling and simulations. The model integrates the DFT-informed generalized stacking-fault energy for interlayer interaction between layers and the Föppl–von Kármán plate theory for elastic energy in each layer with minimization of the total free energy for atomic relaxation governed by a gradient flow method. Our simulation results elucidate twist-angle dependent moiré pattern, strain field, tortional displacement field and stacking domain structures, in good agreement with recent experimental observations. In particular, we derive the strain soliton solution at a small twist angle and the soliton free elastic solution at a large twist angle for the reconstructed van der Waals bilayer with out-of-plane deformation. These results show that out-of-plane deformation not only modifies the strain soliton width but also induces substantial alterations in the strain field, local rotation, and stacking structures. Our findings reveal the non-neglectable role played by out-of-plane deformation in the atomic relaxation of twisted van der Waals bilayers, particularly at smaller twist angles. The intricate interplay between in-plane atomic relaxation and out-of-plane deformation provides opportunities for strain engineering in twisted van der Waals bilayers.
通过综合多尺度建模和模拟,研究了面外变形对扭曲范德华双层中原子弛豫的影响。该模型综合了考虑层间相互作用的dft广义叠加-断层能和考虑每层弹性能的Föppl-von Kármán板块理论,并采用梯度流法控制原子弛豫的总自由能最小化。我们的模拟结果阐明了与扭转角有关的波纹模式、应变场、扭转位移场和叠加畴结构,与最近的实验观察结果吻合得很好。特别地,我们导出了具有面外变形的重构范德华双层在小扭转角下的应变孤子解和大扭转角下的自由孤子弹性解。这些结果表明,面外变形不仅改变了应变孤子宽度,而且引起了应变场、局部旋转和堆积结构的实质性变化。我们的发现揭示了面外变形在扭曲范德华双层的原子弛豫中起着不可忽视的作用,特别是在较小的扭转角下。面内原子弛豫和面外变形之间复杂的相互作用为扭曲范德华双层结构的应变工程提供了机会。
An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations
Michele Torre, Simone Morganti, Alessandro Nitti, Marco Donato de Tullio, Josef Kiendl, Francesco Silvio Pasqualini, Alessandro Reali
doi:10.1016/j.mechmat.2024.105046
用于肌肉薄膜模拟的有效主动应力机电等几何壳模型
We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff–Love shells. Isogeometric Collocation and Galerkin formulations are employed to discretize the electrophysiological and mechanical sub-problems, respectively, with the possibility to adopt different element and time-step sizes. Numerical tests illustrate the capabilities of the active-stress-based approach to effectively simulate the contraction of thin films in both quasi-static and dynamic conditions.
我们提出了一种等几何方法来模拟活动薄膜的变形,使用分层的,非线性的,Kirchhoff-Love壳。采用等几何配置和伽辽金公式分别对电生理子问题和力学子问题进行离散化,可以采用不同的单元和时间步长。数值试验表明,基于主动应力的方法能够有效地模拟薄膜在准静态和动态条件下的收缩。
Restraining geometrically-necessary dislocations to the active slip systems in a crystal plasticity-based finite element framework
Eralp Demir, Alvaro Martinez-Pechero, Chris Hardie, Edmund Tarleton
doi:10.1016/j.ijplas.2024.104013
基于晶体塑性的有限元框架中主动滑移系统的几何必要位错抑制
Strain gradients have been cast in the form of geometrically-necessary dislocations (GND) to relate the length-scale dependence of strength and to determine potential sites for failure initiation. The literature contains various different incompatibility measures, the main ones being: the total form ( ∇ × F p ), the rate form for large displacements ( ∇ × γ ̇ a n a F p ), and the slip gradient form ( ∇ γ ̇ a ). Here these different approaches are compared rigorously for the first time. Obtaining GND densities when using the total form is a rank-deficit linear problem, solved by singular value decomposition (SVD) known as the Least Squares Minimization (L2 method). Alternative methods to find GND densities such as Karush-Kuhn–Tucker (KKT) optimization are also investigated. Both L2 and KKT method predict unrealistic GND densities on inactive slip systems leading to excessive strain hardening; even for a single crystal single slip case. Therefore, the restriction of GNDs to the active slip systems by using a threshold based on the total slip is found to be essential. This proposed restriction reveals relatively consistent results for various single crystal single slip cases including: simple shear, uniaxial tension, and four-point bending. In addition, the small numerical differences in the slip leads to large discrepancies in the flow stress due to error accumulation, even for strain-gradient-free uniaxial tension, hence a threshold for the GND density increment ( 2 × 1 0 2 m−2) is used in all models to avoid formation of artificial GND densities. Finally, the proposed method is applied to GND density evolution for a grain inside a polycrystal aggregate having a complex stress state. The total forms, that use the curl of the plastic deformation gradient, with the active slip system restriction giving the lowest incompatibility errors suggest them to be the most reliable GND measures.
应变梯度以几何必要位错(GND)的形式铸造,以联系强度的长度尺度依赖性,并确定潜在的破坏起始位置。文献中包含了各种不同的不相容测度,主要有:总形式(∇× F p)、大位移时的速率形式(∇× γ ^ an ^ a F p)和滑移梯度形式(∇γ ^ a)。本文首次对这些不同的方法进行了严格的比较。当使用总形式时,获得GND密度是一个秩亏线性问题,通过称为最小二乘最小化(L2方法)的奇异值分解(SVD)来解决。还研究了寻找GND密度的替代方法,如Karush-Kuhn-Tucker (KKT)优化。L2和KKT方法在非活动滑移系统上预测的GND密度都不现实,导致过度应变硬化;即使是单晶单滑移情况。因此,使用基于总滑移的阈值来限制GNDs对活动滑移系统的影响是必要的。这一建议的限制揭示了各种单晶单滑移情况的相对一致的结果,包括:简单剪切,单轴拉伸和四点弯曲。此外,即使对于无应变梯度的单轴拉伸,滑移的小数值差异也会导致由于误差积累而产生的大流动应力差异,因此在所有模型中都使用了地地密度增量的阈值(2 × 10 × 2 m−2),以避免人工地地密度的形成。最后,将该方法应用于具有复杂应力状态的多晶聚集体中颗粒的GND密度演化。利用塑性变形梯度的旋度和主动滑移系统约束的总形式给出了最低的不相容误差,这表明它们是最可靠的GND措施。