
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,Thin-Walled Structures 4 篇
Hydrogen diffusion along different crystal planes: a crystal plasticity hydrogen diffusion model considering grain orientation based on dislocation density
Jiyan Liu, Yuhao Wang, Zhanrui Wang, Youwei Xing, Jingna Sun, Fengshan Du
doi:10.1016/j.ijsolstr.2026.114095
氢沿不同晶面扩散:基于位错密度考虑晶粒取向的晶体塑性氢扩散模型
Hydrogen diffusion in metals is fundamentally governed by their crystal structure, which dictates specific crystallographic planes with favorable diffusion pathways, termed diffusion-favored crystal planes (DFCPs). This study presents a hydrogen diffusion model that explicitly accounts for anisotropic migration along distinct DFCPs, incorporating trapping effects from dislocations and grain boundaries (GBs). A novel projection tensor operator is introduced to represent the preferred diffusion directions, which are selected based on minimum energy barriers. The diffusion process is coupled with hydrostatic stress and concentration gradients, and a geometric probability scheme determines the active diffusion plane within each DFCP family. At GBs, a weighted average of the GB tangent-plane diffusion tensor and the grain DFCP tensor captures the dual role of GBs as fast diffusion pathways. Single-crystal simulations reveal that when hydrogen boundary conditions are applied on a {100} plane, diffusion proceeds most rapidly along the {100} DFCPs; when applied on other crystal planes, diffusion is fastest along the {111} DFCPs. Both GBs and dislocations act as effective hydrogen traps, leading to localized accumulation, while hydrostatic stress and strain gradients guide lattice hydrogen redistribution. In polycrystalline aggregates, crystallographic texture determines the locations of hydrogen segregation, and grain size modulates the overall diffusion rate and trapping efficiency. These factors collectively influence HE susceptibility. This work elucidates essential characteristics of hydrogen diffusion anisotropy at the grain scale, which is vital for understanding hydrogen migration and accumulation in plastically deformed polycrystalline metals. The proposed methodology establishes a general framework that can be extended to model other diffusion–coupled processes in crystalline materials, as well as anisotropic transport phenomena in related physical and energy fields.
氢在金属中的扩散从根本上受其晶体结构的支配,晶体结构决定了具有有利扩散路径的特定晶体平面,称为扩散有利晶体平面(dfcp)。本研究提出了一个氢扩散模型,该模型明确地解释了沿不同dfcp的各向异性迁移,并结合了位错和晶界(GBs)的捕获效应。引入了一种新的投影张量算子来表示基于最小能垒选择的优选扩散方向。扩散过程与静水应力和浓度梯度耦合,并采用几何概率格式确定各DFCP族内的有效扩散面。在GB时,GB切面扩散张量和颗粒DFCP张量的加权平均值捕获了GB作为快速扩散途径的双重作用。单晶模拟表明,当在{100}平面上施加氢边界条件时,沿{100}dfcp扩散速度最快;当应用于其他晶体平面时,沿{111}dfcp的扩散速度最快。GBs和位错都是有效的氢圈闭,导致局部积累,而静水应力和应变梯度引导晶格氢重新分布。在多晶团聚体中,晶体结构决定了氢偏析的位置,晶粒尺寸调节了整体扩散速率和捕获效率。这些因素共同影响HE易感性。这项工作阐明了氢扩散各向异性在晶粒尺度上的基本特征,这对于理解氢在塑性变形多晶金属中的迁移和积累至关重要。提出的方法建立了一个总体框架,可以扩展到模拟晶体材料中的其他扩散耦合过程,以及相关物理和能量领域的各向异性输运现象。
Experimental Evaluation and Phase-Field Modelling of Bulk and Interface Fracture Toughness in Residually Stressed TiN-FeCr Films
Noel Sheshi, Michael Meindlhumer, Markus Alfreider, Andrea Bachmaier, Daniel Rostislav, Manfred Burghammer, Daniel Kiener, Enrico Salvati
doi:10.1016/j.jmps.2026.106685
残余应力TiN-FeCr薄膜体韧性和界面断裂韧性的实验评价与相场建模
Understanding and evaluating the fracture behaviour of micro-architected multilayer systems is essential to ensure structural integrity. This work proposes a novel hybrid experimental–computational framework to characterise the fracture toughness of coatings at the micrometre scale. Pre-notched micro-cantilever tests were performed on TiN-coated FeCr specimens fabricated by focused ion beam machining. The tests provided load–displacement curves and direct observations of crack propagation within the TiN layer and subsequent TiN–FeCr interface delamination. Residual stresses resulting from the TiN deposition were quantified experimentally and incorporated into the simulations through an eigenstrain-based approach, enabling the representation of deposition-induced stresses, their redistribution during micro-cantilever fabrication, and their role in crack initiation and growth. A generalised cohesive phase-field model was developed and validated against the experiments to capture the two key fracturing processes involved. The TiN layer was described by an orthotropic phase-field formulation to represent its anisotropic fracture response, while the FeCr substrate was modelled as an elastoplastic material. The proposed methodology successfully reproduces the experimental fracture sequences and allows the intrinsic toughness of the TiN layer to be distinguished from the effects of residual stress. Furthermore, it enables a consistent identification of the TiN–FeCr interfacial decohesion properties, accounting for substrate plasticity. The successful application of the proposed approach opens new avenues for advanced structural assessments of coated microstructures and thin-film systems, widely found in advanced engineering applications, and provides a general pathway to incorporate eigenstrain-based residual stress fields, anisotropic fracture, and elastoplastic substrate effects in phase-field an alyses of micro components.
了解和评估微结构多层体系的断裂行为对于确保结构完整性至关重要。这项工作提出了一种新的混合实验-计算框架来表征微米尺度上涂层的断裂韧性。对聚焦离子束加工制备的镀锡铁合金试样进行了预缺口微悬臂试验。试验提供了载荷-位移曲线,并直接观察了TiN层内的裂纹扩展以及随后的TiN - fecr界面分层。由TiN沉积产生的残余应力通过实验量化,并通过基于特征应变的方法纳入模拟,从而能够表示沉积诱导应力,它们在微悬臂梁制造过程中的重新分布以及它们在裂纹萌生和扩展中的作用。开发了一个广义内聚相场模型,并通过实验验证了该模型,以捕获涉及的两个关键压裂过程。用正交各向异性相场公式来描述TiN层,以表示其各向异性断裂响应,而FeCr衬底则被建模为弹塑性材料。所提出的方法成功地再现了实验断裂序列,并允许TiN层的固有韧性与残余应力的影响区分开来。此外,它能够一致地识别TiN-FeCr界面脱粘特性,考虑到衬底塑性。该方法的成功应用为涂层微结构和薄膜系统的高级结构评估开辟了新的途径,广泛应用于先进的工程应用,并为将基于特征应变的残余应力场、各向异性断裂和弹塑性衬底效应纳入微部件的相场分析提供了一般途径。
First principles study of the electronic, mechanical, infrared and piezoelectric properties of MoN2
Zhen-Long Lv, Shi-Jie Lv, Xin-Xin Wang, Kai-Tong Wang, Shi-Feng Niu
doi:10.1016/j.mechmat.2026.105736
MoN2的电子、机械、红外和压电性质的第一性原理研究
It is known that molybdenum nitrides have many outstanding properties for different technological applications and structures of crystals can influence their properties. In this work, we systematically and comparatively studied the electronic, mechanical, infrared and piezoelectric properties of three low energy phases of MoN2 by first principles calculations. Studies indicate that the P63/mmc and P-6m2 phases are semiconductors while the R-3m one is a metal and the reasons are revealed. Their bonding situations are an alyzed based on electron localization functions and Bader charges. Calculated elastic constants hint that they are mechanically stable but anisotropic. Their bulk mod uli, shear modu li, hardness and melting temperatures are inferred, which imply that they are incompressible, hard and refractory materials. The strain-stress curves of six representative strain patterns are calculated and the underlying mechanisms are uncovered and discussed. It is found that all of them have the largest critical stress along the c axis while the smallest one under the 120 shear mode. Phonon vibrational modes at their respective Brillouin zone centers are an alyzed and the infrared spectra of the P63/mmc and P-6m2 phases are simulated. The piezoelectric coefficients of P-6m2 MoN2 are also predicted. Potential applications of these crystals are also proposed based on our studies.
众所周知,氮化钼在不同的技术应用中具有许多突出的性能,晶体的结构会影响它们的性能。本文采用第一性原理计算方法,系统比较地研究了三种低能相MoN2的电子、力学、红外和压电性能。研究表明,P63/mmc和P-6m2相是半导体相,而R-3m相是金属相,并分析了其原因。基于电子定位函数和贝德电荷分析了它们的成键情况。计算出的弹性常数暗示它们是机械稳定但各向异性的。通过对它们的体积模量、剪切模量、硬度和熔化温度的推测,表明它们是不可压缩的硬质耐火材料。计算了六种典型应变模式的应变-应力曲线,揭示并讨论了其潜在机制。发现它们在c轴方向上的临界应力最大,在[120](100)剪切模式下的临界应力最小。分析了它们各自布里渊区中心的声子振动模式,并模拟了P63/mmc和P-6m2相的红外光谱。预测了P-6m2 MoN2的压电系数。在此基础上,提出了这些晶体的潜在应用。
Prediction of the Stabilized Plastic Strain Limit in Steels under Cyclic Loading
N.S. Selyutina, A.R. Arutyunyan, Y.V. Petrov
doi:10.1016/j.ijplas.2026.104728
循环加载下钢稳定塑性应变极限的预测
The phenomenon of plastic deformation stabilization under cyclic loading, characterized by the attainment of a steady-state plastic strain amplitude, is considered. Cyclic tests are conducted on Grade 20 steel specimens under conditions of repeated loading, when the stress cyclically varied from zero to maximum tensile stress and cycle asymmetry coefficient is equal to zero, at various stress amplitudes (375, 400, 425, 440, 475, 485, and 490 MPa). A limiting case of stabilization is identified, where the material transitions to predominantly elastic behavior following accumulated plastic deformation. For the first time, a new constitutive model is proposed to predict this effect, which accounts for relaxation phenomena and is based on material-invariant parameters. The model demonstrates accurate predictive capability for the transition to a stabilized hysteresis response and the ultimate state of deformation, as confirmed by experimental validation.
考虑循环加载下塑性变形稳定现象,其特征是达到稳态塑性应变幅值。在不同应力幅值(375、400、425、440、475、485、490 MPa)下,对20级钢试件进行重复加载,在应力从零到最大拉应力循环变化且循环不对称系数为零的条件下进行循环试验。确定了稳定的极限情况,即材料在累积塑性变形后转变为主要的弹性行为。首次提出了一种新的本构模型来预测这种效应,该模型考虑了松弛现象,并基于材料不变参数。实验验证了该模型对过渡到稳定迟滞响应和最终变形状态的准确预测能力。
Dynamic response of rectangular metal sandwich panel with gradient metal foam core subjected to low-velocity impact
Chengjin Zhang, Yafei Guo, Xilin Luo, Jiajia Li, Yao Wang, Jianxun Zhang
doi:10.1016/j.tws.2026.115145
低速冲击下梯度泡沫矩形金属夹芯板的动力响应
The study focuses on the dynamic response of a rectangular metal-gradient foam core sandwich panel (RMGFSP) under low-velocity impact by a heavy impactor. An an alytical model for the low-velocity impact response of the fully clamped RMGFSP is proposed, considering the interaction between bending and stretching. Numerical calculations are also conducted for the low-velocity impact response of the RMGFSP at three representative impact locations. The numerical results agree well with the an alytical predictions. The energy dissipation mechanisms of each component in RMGFSP are an alyzed. The influence of the positive/negative gradient, slope, and average yield strength of the gradient foam, as well as the mass and velocity of the impactor and the impact location, on the low-velocity impact response of RMGFSP is discussed. The results indicates that as the initial kinetic energy increases, the energy absorption ratio of the face-sheets increases, while that of the gradient foam core decreases significantly. RMGFSPs with negative gradient foam exhibit superior impact resistance compared to those with positive gradient foam, and the smaller the slope of the gradient distribution and the lower the average yield strength, the stronger the impact resistance of the RMGFSP. The closer the impact point is to the boundary, the stronger the impact resistance of the RMGFSP. Under the same impact energy, the maximum deflection of the RMGFSP is independent of the combination of the velocity and mass of the impactor, and its low-velocity impact response shifts from bending-dominated to stretching-dominated as energy increases, while remaining highly sensitive to changes in velocity. The an alytical model can effectively predict the low-velocity impact response of the RMGFSPs.
研究了矩形金属梯度泡沫芯夹芯板在低速冲击下的动力响应。建立了考虑弯曲和拉伸相互作用的全夹紧RMGFSP低速冲击响应分析模型。在三个有代表性的冲击位置对RMGFSP的低速冲击响应进行了数值计算。数值计算结果与分析预测吻合较好。分析了RMGFSP中各部件的耗能机理。讨论了梯度泡沫的正/负梯度、斜率和平均屈服强度,以及冲击器的质量、速度和冲击位置对RMGFSP低速冲击响应的影响。结果表明:随着初始动能的增大,面片的吸能比增大,而梯度泡沫芯的吸能比显著减小;负梯度泡沫的RMGFSP的抗冲击性能优于正梯度泡沫的RMGFSP,且梯度分布的斜率越小,平均屈服强度越低,RMGFSP的抗冲击性能越强。冲击点越靠近边界,RMGFSP的抗冲击性能越强。在相同的冲击能量下,RMGFSP的最大挠度与冲击体的速度和质量组合无关,随着能量的增加,其低速冲击响应由弯曲为主转向拉伸为主,同时对速度变化保持高度敏感。该分析模型可以有效地预测rmgfsp的低速冲击响应。
Polyimide Aerogel/Aramid Honeycomb Cylindrical Shells with Robust Static/Dynamic Mechanical Properties and Efficient Thermal Insulation
Jia Chen, Zhexi Li, Xianbo Hou, Rongzhu Xia, Xuelei Fang, Shuyan Nie, Shaowei Zhu, Tao Liu, Keyu Zhu, Liming Chen
doi:10.1016/j.tws.2026.115140
聚酰亚胺气凝胶/芳纶蜂窝圆柱壳具有强大的静态/动态机械性能和有效的隔热
High-performance curved-shaped special components, as a focus in the aerospace field, the development of ultra-light, heat-insulating and flame-retardant cylindrical shells holds significant engineering significance. Herein, we report a novel integrally formed polyimide aerogel/aramid-paper honeycomb (PIA/APH) cylindrical shell, achieved by infusing PIA into an APH to create a monolithic PIA-rich cylindrical sandwich structure. This design yields an ultra‑lightweight cylindrical shell with a density as low as 0.11-0.20g/cm³, creating a synergistic interplay between mechanical load‑bearing and thermal insulation that yields mutually reinforcing performance benefits: the rigid honeycomb framework suppresses aerogel shrinkage by 41.96% and boosts tensile failure strain 5.63 times, transforming the brittle PIA into a tough, ductile material exhibiting distinct elastic, yield, and hardening stages under lateral quasi-static compression and drop-weight impact. Concurrently, the PIA reinforcement increases the specific shear modulus of APH by 1.73 times and shear strength by 4.57 times. through improved interfacial load transfer and stress redistribution. Notably, the composite retains good post-damage thermal insulation, attributed to greater residual wall thickness after deformation, while flame retardancy is improved with self-extinguishing duration reduced from 10.27s (APH) and 6.20s (PIA) to 5.20s. The fabricated PIA/APH cylindrical shell holds considerable promise for mechanically and thermally coupled aerospace environments, offering a new paradigm for multifunctional lightweight structure design.
高性能弯曲异形件,作为航空航天领域的一个热点,开发超轻、隔热、阻燃的圆柱壳具有重要的工程意义。本文报道了一种新型的整体形成聚酰亚胺气凝胶/芳纶纸蜂窝(PIA/APH)圆柱壳,通过将PIA注入到APH中,形成一个富含PIA的整体圆柱形夹层结构。这种设计产生了一个超轻的圆柱形外壳,密度低至0.11-0.20g/cm³,在机械承重和隔热之间产生协同作用,从而产生相互增强的性能优势。刚性蜂窝框架可抑制气凝胶收缩41.96%,提高拉伸破坏应变5.63倍,使脆性PIA在侧向准静态压缩和落重冲击下转变为具有明显弹性、屈服和硬化阶段的韧性、延展性材料。同时,PIA加筋使APH的比剪模量提高1.73倍,抗剪强度提高4.57倍。通过改善界面载荷传递和应力重分布。值得注意的是,由于变形后残余壁厚增加,复合材料保持了良好的损伤后保温性,同时阻燃性得到提高,自熄时间从10.27s (APH)和6.20s (PIA)减少到5.20s。制造的PIA/APH圆柱壳在机械和热耦合的航空航天环境中具有相当大的前景,为多功能轻量化结构设计提供了新的范例。
Breaking the trade-off between load transmission and energy absorption in packaging via metamaterial cushions
Xizhe Wang, Jiaxing Li, Weizhou Zhong, Shengde Zhang, Fangju Zhang, Ruoze Xie, Qiang Wan, Jian Li
doi:10.1016/j.tws.2026.115135
打破负载传输和能量吸收之间的权衡在包装通过超材料缓冲
Thermoplastic polyurethane metamaterials show great promise for overcoming the inherent trade-off between load transmission and energy absorption in traditional cushioning materials, due to their high design flexibility and hyperelasticity. However, most studies focus on intrinsic properties under unconstrained conditions, while interactions between structures and boundaries in confined packaging environments remain poorly understood. This work developed advanced metamaterial packaging systems through topological regulation, systematically investigating both interlayer-staggered Cubic Spherical Hollow structures and functionally graded Triply Periodic Minimal Surfaces. By comparing free and confined loading, a decoupled theoretical framework was established to quantify confinement gains from intrinsic deformation modes and extrinsic friction dissipation. The gains are governed by Poisson’s ratio. Positive Poisson’s ratio promotes lateral expansion, enhancing confinement-induced energy dissipation by over 50% in energy density, whereas the negative Poisson’s ratio reduces boundary interference and improves dynamic stability. Multidirectional drop-impact tests reveal that the evolution of contact topology from surface to line to point contact triggers premature densification and mismatches between dynamic stiffness and strength. Based on an energy-based evaluation framework, a contact-regulated stiffness-strength matching strategy was proposed to visualize the trade-off between load transmission and energy dissipation efficiency. The designs of metamaterial cushions cut peak acceleration by up to approximately 90% and suppress elastic recoil, successfully breaking the traditional trade-off and enabling robust protective packaging for confined environments.
热塑性聚氨酯超材料由于其高设计柔韧性和超弹性,在克服传统缓冲材料中载荷传递和能量吸收之间的固有权衡方面表现出很大的希望。然而,大多数研究集中在无约束条件下的内在性质,而在受限包装环境中结构和边界之间的相互作用仍然知之甚少。这项工作通过拓扑调节开发了先进的超材料封装系统,系统地研究了层间交错的立方球形空心结构和功能梯度的三周期最小表面。通过对自由载荷和约束载荷的比较,建立了一个解耦的理论框架,量化了固有变形模态和外在摩擦耗散带来的约束增益。增益由泊松比控制。正泊松比促进横向膨胀,使能量密度增加50%以上,而负泊松比减少边界干扰,提高动力稳定性。多向跌落冲击试验表明,接触拓扑从面接触到线接触再到点接触的演变引发了过早致密化和动刚度与强度的不匹配。基于基于能量的评价框架,提出了一种接触调节刚度-强度匹配策略,将载荷传递与耗能效率之间的权衡可视化。超材料缓冲垫的设计将峰值加速度降低了约90%,并抑制了弹性后坐力,成功地打破了传统的权衡,为密闭环境提供了强大的保护包装。
MagCBCM: Chained Beam-Constraint-Model of Magneto-Mechanical Response in Hard-Magnetic Compliant Beams
Zhonglin Chen, Ruiyu Bai, Ningbo Xu, Yupei Zhang, Jiaqiang Yao, Bo Li
doi:10.1016/j.tws.2026.115134
磁链梁约束-硬磁柔性梁的磁力响应模型
Hard-magnetic soft materials (HMSMs) have emerged as pivotal components in the development of soft robotics, biomedical devices, and flexible electronics. However, existing modeling frameworks for HMSM-based compliant structures are often computationally intensive due to inherent geometric nonlinearities and are typically limited to pure magnetic actuation, offering insufficient consideration of coupled magneto-mechanical loading. To address these challenges, this study develops a magneto-mechanical chained beam-constraint-model (MagCBCM) derived from Euler–Bernoulli beam theory and the principle of virtual work. The proposed model facilitates the comprehensive an alysis of diverse structural deformations under combined mechanical and magnetic loading, encompassing magnetic soft continuum robots with external contact, thin-walled architectures, and the snap-buckling behavior of bistable hard-magnetic beams. Validation against established a nalytical models and experimental results confirms the accuracy and effectiveness of the framework. Generally, MagCBCM can serve as a versatile parameterized modeling tool for the rational design and optimization of advanced hard-magnetic functional structures.
硬磁性软材料(HMSMs)已成为软机器人、生物医学设备和柔性电子产品发展的关键部件。然而,由于固有的几何非线性,现有的基于hmsm的柔性结构建模框架通常计算量很大,并且通常仅限于纯磁驱动,没有充分考虑耦合磁-机械载荷。为了解决这些挑战,本研究基于欧拉-伯努利梁理论和虚功原理开发了磁机械链梁约束模型(MagCBCM)。所提出的模型有助于综合分析机械和磁联合载荷下的各种结构变形,包括具有外接触的磁性软连续体机器人、薄壁结构以及双稳态硬磁梁的卡-屈曲行为。对建立的分析模型和实验结果的验证证实了该框架的准确性和有效性。总的来说,MagCBCM可以作为一种多功能的参数化建模工具,用于高级硬磁功能结构的合理设计和优化。