今日更新:International Journal of Solids and Structures 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇
Exploring novel mechanical metamaterials: Unraveling deformation mode coupling and size effects through second-order computational homogenisation
Wanderson F. dos Santos, Igor A. Rodrigues Lopes, Francisco M. Andrade Pires, Sergio P.B. Proença
doi:10.1016/j.ijsolstr.2024.112724
探索新型机械超材料:通过二阶计算均质化揭示变形模式耦合和尺寸效应
Architected materials and mechanical metamaterials are known for their unique macroscopic properties and complex behaviour that often defy conventional continuum mechanics. Therefore, in this contribution, a recent multi-scale second-order computational homogenisation method (Dos Santos et al., 2023) is employed to explore these materials under finite strains. The approach combines a second gradient continuum theory at the macro-scale and a representative volume element (RVE) with classical first-order continuum mechanics at the micro-scale. The Method of Multi-scale Virtual Power ensures a consistent scale transition. The predictive capability and applicability of the second-order computational strategy are evaluated through coupled multi-scale numerical simulations. These simulations involve two- and three-dimensional problems, with a strong focus on the development of novel metamaterials, while also accounting for diverse loading conditions, such as tension/compression-induced undulation, bending, and compression-induced torsion. Comparisons with first-order homogenisation and Direct Numerical Simulations validate the approach. Analysis of homogenised consistent tangents reveals valuable insights into macroscopic properties. Overall, the results highlight the capability of the second-order strategy to capture significant phenomena, including second-order deformation modes, coupling deformation mechanisms, and size effects.
建筑材料和机械超材料以其独特的宏观特性和复杂的行为而著称,往往与传统的连续介质力学相悖。因此,本文采用了最新的多尺度二阶计算均质化方法(Dos Santos 等人,2023 年)来探索有限应变下的这些材料。该方法在宏观尺度上结合了第二梯度连续理论,在微观尺度上结合了代表体积元素(RVE)和经典一阶连续介质力学。多尺度虚拟力量方法确保了尺度过渡的一致性。通过多尺度耦合数值模拟,对二阶计算策略的预测能力和适用性进行了评估。这些模拟涉及二维和三维问题,重点关注新型超材料的开发,同时还考虑了各种加载条件,如拉伸/压缩引起的起伏、弯曲和压缩引起的扭转。与一阶均质化和直接数值模拟的比较验证了这一方法。对均质化一致切线的分析揭示了宏观特性的宝贵见解。总之,研究结果凸显了二阶策略捕捉重要现象的能力,包括二阶变形模式、耦合变形机制和尺寸效应。
Effects of primary α grains on rolling reductions and deformation modes in Zr alloys: Experiments and modeling
Yucheng Cao, Ding Chen, Liang Xia, Pengfei Feng, Siyuan Wang, Wen Qin
doi:10.1016/j.mechmat.2024.104957
原生 α 晶粒对 Zr 合金轧制减薄和变形模式的影响:实验和建模
Microstructure and texture evolution of β-quenched Zr-xNb-0.4Mo (x = 0, 0.4, 0.6 and 1.0 wt %) alloys during the cold rolling process were systematically investigated. The Zr-xNb-0.4Mo alloys exhibit the area fractions of the martensitic structure are 33.2%, 69.4%, 100% and 100% with an increase in Nb content. Under the same rolling gap (1.2 mm), the rolling reductions are 24%, 28%, 29.7% and 30%, respectively. To understand the reason for the gradual increase of rolling reductions until approximately 30%, a visco-plastic self-consistent (VPSC) model was employed to predict the texture evolution and relative activity of different deformation modes. The variation of average Schmid factors (SFs) and the variation of the relative activity of different deformation modes before and after cold rolling were calculated and compared. With the increase of Nb content, a similar variation law between the variation of average SF and the variation of relative activity was found. The basal slip in Zr-0.4Nb-0.4Mo alloy is difficult to activate due to the initial texture of Zr-0.4Nb-0.4Mo alloy. Pyramid <c+a> slip can accommodate the strain along the normal direction (ND), which is beneficial to the high plasticity of Zr alloys during cold rolling. By comparing the variation of average SF of pyramid <c+a> slip, it is found that the larger rolling reductions of Zr-0.6Nb-0.4Mo alloy and Zr-1.0Nb-0.4Mo alloys can be attributed to the activation of pyramid <c+a> slip. The existence of primary α grains can decrease the average SF and inhibit the activation of pyramid <c+a> slip. The cold rolling can make the martensite plates crushed and refined, but not to the primary α grains.
系统研究了冷轧过程中β-淬火 Zr-xNb-0.4Mo(x = 0、0.4、0.6 和 1.0 wt %)合金的微观结构和组织演变。随着 Nb 含量的增加,Zr-xNb-0.4Mo 合金的马氏体结构面积分数分别为 33.2%、69.4%、100% 和 100%。在相同的轧制间隙(1.2 毫米)下,轧制减量分别为 24%、28%、29.7% 和 30%。为了解轧制减薄逐渐增加直至约 30% 的原因,采用了粘塑性自洽(VPSC)模型来预测纹理演变和不同变形模式的相对活动。计算并比较了冷轧前后平均施密特因子(SFs)的变化和不同变形模式相对活性的变化。随着铌含量的增加,发现平均施密特因子的变化与相对活度的变化之间存在相似的变化规律。由于 Zr-0.4Nb-0.4Mo 合金的初始组织,Zr-0.4Nb-0.4Mo 合金中的基底 滑动难以激活。金字塔<c+a>滑移可以容纳沿法线方向(ND)的应变,这有利于锆合金在冷轧过程中的高塑性。通过比较金字塔<c+a>滑移平均SF的变化,发现Zr-0.6Nb-0.4Mo合金和Zr-1.0Nb-0.4Mo合金较大的轧制减量可归因于金字塔<c+a>滑移的激活。原生α晶粒的存在可降低平均SF值,抑制金字塔<c+a>滑移的激活。冷轧可以使马氏体板块破碎和细化,但不能使原生α晶粒破碎和细化。
Creep Deformation in Metallic Glasses: A Global Approach with Strain as an Indicator within Transition State Theory
L.T. Zhang, Y.J. Wang, M. Nabahat, E. Pineda, Y. Yang, J.M. Pelletier, D. Crespo, J.C. Qiao
doi:10.1016/j.ijplas.2024.103923
金属玻璃的蠕变变形:过渡态理论中以应变为指标的全局方法
Within the framework of transition state theory, the isothermal creep behavior of metallic glasses is elucidated through a unique global approach, where the topological state is exclusively linked to measured strain. Our methodology allows the computation of the average activation volume and activation energy of deformation units as a function of strain. Experimental data from four representative metallic glasses (La30Ce30Ni10Al10Co20, La65Ni15Al25, La56.16Ce14.04Ni19.8Al10, and Cu46Zr46Al8) reveal two distinct characteristics. Below the glass transition temperature, the mechanical response is primarily influenced by secondary relaxation processes and excess configuration entropy, with activation volume increasing with strain. Upon reaching the glass transition temperature, the activation volume becomes notably larger and strain-independent. Additionally, the activation energy exhibits an increase with strain, and deformation units of varying sizes are progressively activated, from smaller to larger units. The decoupling and competition among relaxation events are correlated with the increase in the activation volume of deformation units. These findings provide valuable insights into the dynamic behavior of metallic glasses and their mechanical response across different states.
在过渡态理论的框架内,通过一种独特的全局方法阐明了金属玻璃的等温蠕变行为,其中拓扑状态完全与测量应变相关联。我们的方法可以计算出变形单元的平均活化体积和活化能与应变的函数关系。四种代表性金属玻璃(La30Ce30Ni10Al10Co20、La65Ni15Al25、La56.16Ce14.04Ni19.8Al10 和 Cu46Zr46Al8)的实验数据揭示了两种截然不同的特征。在玻璃转变温度以下,机械响应主要受二次弛豫过程和过剩构型熵的影响,活化体积随应变而增加。达到玻璃化转变温度后,活化体积明显变大,且与应变无关。此外,活化能随着应变的增加而增加,不同大小的变形单元从较小单元到较大单元逐渐被活化。弛豫事件之间的解耦和竞争与变形单元活化体积的增加相关。这些发现为了解金属玻璃的动态行为及其在不同状态下的机械响应提供了宝贵的见解。