今日更新:International Journal of Solids and Structures 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 3 篇
Impact induced compression and decompression waves in porous meta-materials modeled using a continuum theory of phase transitions
Konstantinos Garyfallogiannis, Prashant K. Purohit
doi:10.1016/j.ijsolstr.2023.112597
利用相变连续体理论模拟多孔元材料中的冲击诱导压缩波和减压缩波
Porous meta-materials with both regular and random microstructure are of intense research interest today due to their interesting dynamical properties, including but not limited to, their acoustic band structure, shock absorption properties, and fracture toughness. Some of these materials can exist in a rarefied or densified state depending on the state of stress, and recover their original configuration after a cycle of loading and unloading. Often, they exhibit a hysteretic stress–strain response under quasistatic uniaxial compression. As such, many aspects of their mechanical behavior can be captured using a continuum theory of phase transitions. In this work, the dynamical behavior of such materials is explored. It is shown that the impact problem for these materials can result in propagating shocks, phase boundaries, and fans. The impact problems admit multiple solutions for the same set of initial and boundary conditions leading to non-uniqueness. This non-uniqueness can be remedied using a nucleation criterion and kinetic laws, as is known from the continuum theory of phase transitions. The fan solutions which arise in decompressive impact problems have not received much attention in the literature and may be regarded as a novel contribution of this work. The analysis presented here may have applications in the dynamic behavior of a broad class of porous materials including architected truss-like metastructures and random fiber networks.
具有规则和随机微观结构的多孔元材料因其有趣的动力学特性,包括但不限于声带结构、减震特性和断裂韧性,而成为当今研究的热点。其中一些材料可根据应力状态以稀疏或致密状态存在,并在加载和卸载循环后恢复其原始构造。在准静态单轴压缩下,它们通常会表现出滞后的应力-应变反应。因此,它们机械行为的许多方面都可以用相变连续体理论来捕捉。本研究探讨了此类材料的动力学行为。研究表明,这些材料的冲击问题会导致冲击波、相界和风扇的传播。对于同一组初始条件和边界条件,冲击问题有多种解,从而导致非唯一性。这种非唯一性可以利用成核准则和动力学定律来解决,这在相变的连续性理论中是众所周知的。减压冲击问题中出现的扇形解在文献中并未得到广泛关注,这可视为本研究的一个新贡献。本文的分析可应用于各类多孔材料的动态行为,包括结构化的桁架状转移结构和随机纤维网。
Structural optimization strategies for improving the maximum strength of gradient nanotwinned metals
Xiaoyang Ding, Zailin Yang, Yong Yang, Ruixue Sun
doi:10.1016/j.mechmat.2023.104876
提高梯度纳米缠绕金属最大强度的结构优化策略
Many studies have shown that the excellent mechanical properties of gradient nanotwinned (NT) metals were primarily attributed to the unique micro-nano structure. In the present study, the motion resistance of mode Ⅱ and trans-twin dislocations is directly used to describe the effective stress in gradient nanotwinned (GNT) metals, combined with the modified hetero-deformation-induced (HDI) stress model, a constitutive model in connection with structural parameters has been successfully developed for the GNT metals with preferentially oriented. The proposed quantitative continuum plasticity model could investigate the role of gradient structure in tuning the strength of GNT metals. Furthermore, it has been found that the gradient element height and minimum twin thickness have significant effects on the strength of GNT metals. Therefore, the proposed model can be employed to optimize the mechanical property of GNT metals by controlling the gradient element height and minimum twin thickness.
许多研究表明,梯度纳米孪晶(NT)金属的优异机械性能主要归功于其独特的微纳结构。本研究直接利用模式Ⅱ和反孪晶位错的运动阻力来描述梯度纳米绕线金属的有效应力,结合改进的异变形诱导应力模型(HDI),成功建立了优先取向的梯度纳米绕线金属与结构参数相关的连续塑性模型。所提出的定量连续塑性模型可以研究梯度结构在调整 GNT 金属强度中的作用。此外,研究还发现梯度元素高度和最小孪晶厚度对 GNT 金属的强度有显著影响。因此,所提出的模型可用于通过控制梯度元素高度和最小孪晶厚度来优化 GNT 金属的机械性能。
Origin of thermal deformation induced crystallization and microstructure formation in additive manufactured FCC, BCC, HCP metals and its alloys
Jing Peng, Jia Li, Bin Liu, Qihong Fang, Peter K Liaw
doi:10.1016/j.ijplas.2023.103831
添加剂制造的 FCC、BCC、HCP 金属及其合金的热变形诱导结晶和微观结构形成的起源
The additive manufacturing (AM) technology has received the widespread attention in the industrial application because of its unique ability to achieve the complex shape and ideal performance. Unfortunately, the impact of the material natural characteristics, such as the crystal structure and alloying, on the microstructure formation at the nanoscale has never been revealed in AM metals. Here, we use large-scale molecular-dynamics simulations to study the rapid thermal deformation processes of additively-manufactured face-centered-cubic (FCC), body-centered-cubic (BCC), hexagonal close-packed (HCP) metals and their alloys (FCC Cu, CuAl0.1, BCC Fe, FeAl0.1, and HCP Mg, MgAl0.1) in the molten pool, in an attempt to elucidate the intrinsic physical mechanisms controlling the crystal nucleation and growth under the complex thermal stress. The results show that the arcuate solid-liquid interface migrates towards the liquid phase until the complete crystallization, in good agreement with the experimental observation. The solidification rate follows a unified slow-to-fast law in the three types of metals, due to the competition between the compressive thermal stress and fast atomic motion. It is noteworthy that the critical radius of the crystal nucleus in the FCC and BCC metals is smaller than that in the HCP metal. The FCC metal exhibits the weak nucleation ability and growth rate, and yet the HCP metal shows the fast growth rate and stable columnar crystal nucleation. Especially, due to the dual regulation of the steep thermal gradient and solute redistribution on the growth driving force, the alloying increases the constitutive supercooling of the solidification front and inhibits the growth of columnar crystals. This trend is particularly prominent in FCC alloys, which is manifested by the obvious amorphous phase and discrete nucleation point in the upper part of the melt pool. The nucleation barrier free energy descends in order of FCC, BCC, and HCP pure metals, but the alloying would increase this energy in the corresponding alloys. The current work gives an insight into the atomic mechanism of the nucleation and growth in AM FCC, BCC, and HCP metals.
增材制造(AM)技术因其实现复杂形状和理想性能的独特能力而在工业应用中受到广泛关注。遗憾的是,在 AM 金属中,晶体结构和合金等材料天然特性对纳米尺度微观结构形成的影响尚未被揭示。在此,我们利用大规模分子动力学模拟研究了添加式制造的面心立方(FCC)、体心立方(BCC)、六方紧密堆积(HCP)金属及其合金(FCC Cu、CuAl0.1、BCC Fe、FeAl0.1 和 HCP Mg、MgAl0.1),试图阐明在复杂热应力下控制晶体成核和生长的内在物理机制。结果表明,弧形固液界面向液相迁移直至完全结晶,这与实验观察结果十分吻合。由于压缩热应力和快速原子运动之间的竞争,三种金属的凝固速率遵循统一的由慢到快规律。值得注意的是,FCC 和 BCC 金属的晶核临界半径小于 HCP 金属。FCC 金属的成核能力和生长速度较弱,而 HCP 金属的生长速度快,柱状晶成核稳定。特别是,由于陡峭的热梯度和溶质再分布对生长驱动力的双重调节,合金化增加了凝固前沿的构成过冷度,抑制了柱状晶的生长。这种趋势在催化裂化合金中尤为突出,表现为熔池上部出现明显的非晶相和离散成核点。成核势垒自由能在 FCC、BCC 和 HCP 纯金属中依次降低,但在相应合金中,合金化会增加这一能量。目前的研究工作有助于深入了解 AM FCC、BCC 和 HCP 金属成核和生长的原子机制。
An Experimental Study of the Penetration Resistance of UHMWPE Laminates with limited thickness
Mingjin Cao, Donglei Zhou, Zekun Wang, Li Chen
doi:10.1016/j.tws.2023.111438
厚度有限的超高分子量聚乙烯层压板抗穿透性实验研究
Ultra-high molecular weight polyethylene (UHMWPE) laminates represent the most weight-efficient industrial fiber-reinforced resin-based composite material for ballistic protection. To comprehensively understand the anti-penetration mechanism and quantify the anti-penetration performance of UHMWPE laminates, theoretical, experimental, and equation-fitting methods are employed to study and test the ballistic response characteristics of UHMWPE laminates. The results reveal that UHMWPE fibers possess a theoretically determined longitudinal wave velocity that exceeds 10 km/s and exhibit an extremely strong stress diffusion capacity. The anti-penetration mechanism and performance of UHMWPE laminates are significantly influenced by the laminate thicknesses, projectile velocities, and temperatures. As the laminate thickness increases, the ballistic limits of UHMWPE laminates increase almost linearly. Large area delamination and back face deformation play a crucial role in the energy dissipation of UHMWPE laminates. With the increase of projectile velocities, there exists an energy limit representing the maximum energy absorption capacity of the UHMWPE laminates that is worthy of reasonable utilization in spacing ballistic-proof armors. Additionally, the ballistic performance of UHMWPE laminates generally decreases with increasing temperatures, and this trend becomes more pronounced after 80℃. Based on data-driven analysis, this paper proposes an equation for calculating the ballistic limit of UHMWPE laminates that takes into account the temperatures and projectile shapes, with a prediction error basically within 5%. The research results can offer valuable guidance for the ballistic-proof design of UHMWPE laminates.
超高分子量聚乙烯(UHMWPE)层压材料是重量效率最高的工业纤维增强树脂基复合材料,可用于防弹保护。为全面了解超高分子量聚乙烯层压材料的抗穿透机理并量化其抗穿透性能,本文采用理论、实验和方程拟合等方法对超高分子量聚乙烯层压材料的弹道响应特性进行了研究和测试。结果表明,超高分子量聚乙烯纤维的理论纵波速度超过 10 km/s,并表现出极强的应力扩散能力。超高分子量聚乙烯层压板的抗穿透机制和性能受层压板厚度、射弹速度和温度的显著影响。随着层压板厚度的增加,超高分子量聚乙烯层压板的弹道极限几乎呈线性增长。大面积分层和背面变形对超高分子量聚乙烯层压板的能量消耗起着至关重要的作用。随着射弹速度的增加,超高分子量聚乙烯层压板的最大能量吸收能力存在一个能量极限,值得在间隔防弹装甲中合理利用。此外,超高分子量聚乙烯层压材料的防弹性能通常会随着温度的升高而降低,这一趋势在 80℃ 之后更为明显。本文基于数据驱动分析,提出了一种考虑温度和弹丸形状的超高分子量聚乙烯层压板弹道极限计算公式,其预测误差基本在 5%以内。研究成果可为超高分子量聚乙烯层压板的防弹设计提供有价值的指导。
Efficient inverse-designed structural infill for complex engineering structures
Peter Dørffler Ladegaard Jensen, Tim Felle Olsen, J. Andreas Bærentzen, Niels Aage, Ole Sigmund
doi:10.1016/j.tws.2023.111427
为复杂工程结构设计高效的反向设计结构填充物
Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for additive manufacturing, infill is often neglected as a component of the optimized structure. In this paper, both concerns are addressed using a so-called de-homogenization topology optimization procedure on complex engineering structures discretized by 3D unstructured hexahedrals. Using a rectangular-hole microstructure (reminiscent to the stiffness optimal orthogonal rank-3 multi-scale) as a base material for the multi-scale optimization, a coarse-scale optimized geometry can be obtained using homogenization-based topology optimization. Due to the microstructure periodicity, this coarse-scale geometry can be up-sampled to a fine single-scale physical geometry with optimized infill, with only a minor loss in structural performance and at a fraction of the cost of a fine-scale solution.The upsampling on 3D unstructured grids is achieved through stream surface tracing, aligning with the optimized local orientations. The periodicity of the physical geometry can be tuned, such that the material serves as a structural component and also as an efficient infill for additive manufacturing designs. The method is demonstrated through three examples of varying geometrical complexity. It achieves comparable structural performance to “brute force” state-of-the-art methods but stands out for its significant computational time reduction. By allowing multiple active layers, the mapped solution becomes more mechanically stable, leading to an increased critical buckling load factor without additional computational expense. The control of active layers also provides direct control over the internal structure, i.e., infill, ensuring that the infill is incorporated as a structural component and enhancing the manufacturability of the de-homogenization procedure. Furthermore, the proposed approach exhibits promising results, achieving volume fractions and weighted compliance values within 5% of the large-scale SIMP model, while demonstrating a computational efficiency improvement ranging from 10 times to over 250 times.
高分辨率和精细三维轻质机械结构的逆向设计由于需要大量计算资源和使用非常精细的复杂网格,其成本是出了名的高。此外,在为增材制造进行设计时,填充物作为优化结构的一个组成部分往往被忽视。本文采用所谓的去同质化拓扑优化程序,对由三维非结构六面体离散的复杂工程结构进行优化,从而解决了这两个问题。使用矩形孔微结构(类似于刚度最优正交秩-3 多尺度)作为多尺度优化的基础材料,可以通过基于均质化的拓扑优化获得粗尺度优化几何形状。由于微观结构的周期性,这种粗尺度几何图形可以上采样到具有优化填充的精细单尺度物理几何图形,结构性能损失很小,而成本只是精细尺度解决方案的一小部分。物理几何的周期性可以调整,从而使材料既能作为结构组件,又能作为增材制造设计的有效填充物。该方法通过三个不同几何复杂度的实例进行了演示。该方法的结构性能可与 "蛮力 "式的先进方法相媲美,但其显著缩短计算时间的优势更为突出。通过允许多个活动层,映射解决方案变得更加机械稳定,从而在不增加计算费用的情况下提高了临界屈曲载荷系数。对活动层的控制还提供了对内部结构(即填充物)的直接控制,确保了填充物作为结构组件的融入,并提高了去均质化程序的可制造性。此外,所提出的方法还取得了可喜的成果,其体积分数和加权顺应性值均在大型 SIMP 模型的 5%以内,计算效率提高了 10 倍到 250 多倍。
Numerical simulation study on mesoscopic metallic foam core sandwich panels under hypervelocity impact
Qunyi Tang, Qiguang He, Xiaowei Chen
doi:10.1016/j.tws.2023.111440
超高速冲击下介观金属泡沫夹芯板的数值模拟研究
Due to its lightweight and superior energy absorption characteristics, metallic foams are exceptionally suitable for the protective shielding of spacecraft against debris. The mesoscopic structure of such a foam plays a pivotal role in enhancing its outstanding protective performance. Numerical simulations permit us to explore the damage mechanism of its internal structure and the evolving characteristics of debris clouds. By adopting the three-dimensional Voronoi tessellation in conjunction with the algorithm of background mesh mapping, this study constructed mesoscopic finite element models that accurately reflect the internal randomness and variability in ligament width within the metallic foam. Subsequently, numerical simulations were executed employing the FE-SPH adaptive method within the LS-DYNA. Comparative experimental cases substantiated the validity of the simulations, and an exhaustive mesh sensitivity analysis was conducted. Optimizing results from these simulations following a normal impact, we delved into the propagation of stress waves within the foam core, alongside the subsequent internal structural damage. Furthermore, we explored the damage mechanism of foam sandwich panels subjected to hypervelocity impacts. According to the fragmentation process of the projectile and the evolution of debris clouds, it was discerned that the random internal structure of the foam engenders an asymmetric and skewed debris cloud, dispersing its energy and culminating in multiple concentrated particle clusters with a predilection towards a particular direction. Tracking the velocity fluctuations of these ‘dominant particles’ and the inflicted damage on the rear facesheet revealed that the agglomerated tiny fragments of the projectile are primarily responsible for perforating the rear facesheet.
由于金属泡沫重量轻、能量吸收能力强,因此非常适合用于航天器的碎片防护。这种泡沫的中观结构对提高其出色的防护性能起着关键作用。通过数值模拟,我们可以探索其内部结构的破坏机理以及碎片云的演变特征。本研究通过采用三维 Voronoi 网格划分和背景网格映射算法,构建了中观有限元模型,准确反映了金属泡沫内部韧带宽度的随机性和可变性。随后,在 LS-DYNA 中采用 FE-SPH 自适应方法进行了数值模拟。对比实验案例证实了模拟的有效性,并进行了详尽的网格敏感性分析。通过优化正常撞击后的模拟结果,我们深入研究了应力波在泡沫芯材内部的传播以及随后的内部结构损坏。此外,我们还探索了泡沫夹芯板在受到超高速撞击时的损坏机制。根据弹丸的破碎过程和碎片云的演变,我们发现泡沫的随机内部结构产生了不对称和倾斜的碎片云,分散了碎片云的能量,最终形成了多个集中的粒子群,并偏向于一个特定的方向。跟踪这些 "主要粒子 "的速度波动和对后面板造成的破坏发现,弹丸聚集的微小碎片是造成后面板穿孔的主要原因。