今日更新:International Journal of Solids and Structures 3 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 5 篇
The effect of variable fiber diameters in unidirectional fiber-reinforced bundles on stress redistributions around fiber breaks
M. Jafarypouria, S.V. Lomov, S.G. Abaimov
doi:10.1016/j.ijsolstr.2025.113687
单向纤维增强束中变径纤维对纤维断裂周围应力重分布的影响
Finite element modeling is conducted to simulate the stress redistribution around a broken fiber (BF) in a bundle with experimentally measured fiber diameter distributions (FDD), followed by a parametric study of the influence of the FDD coefficient of variation on the stress concentration factor (SCF) and ineffective length (IL). Two variants of the SCF definition are considered: based on average, SCFavg, and maximum, SCFmax, stress in the fiber cross-section. Results demonstrate that bigger fiber diameters show higher SCF and clustering of such fibers increases SCF in nearest neighbor fibers (NNFs). Critically, maximum stress-based SCF (maxSCF_max) significantly exceeds average stress-based SCF ( maxSCF_avg), with differences about 40–75% in NNFs for FDD bundles compared to fiber constant diameter (FCD) bundles. This emphasises the necessity of prioritizing maximum stress criteria over conventional average stress models in failure predictions. The findings challenge benchmark models that rely on averaged SCF values, offering critical insights for improving accuracy in predicting fiber break propagation and composite strength.
采用有限元建模来模拟束中一根断裂纤维(BF)周围应力的重新分布,该模型基于实验测量的纤维直径分布(FDD),随后对 FDD 系数的变异对应力集中系数(SCF)和无效长度(IL)的影响进行了参数研究。考虑了两种 SCF 定义的变体:基于平均应力的 SCFavg 和基于最大应力的 SCFmax。结果表明,较大的纤维直径显示出更高的 SCF,且此类纤维的聚集 会增加相邻纤维(NNF)的 SCF。关键的是,基于最大应力的 SCF(maxSCF_max)显著高于基于平均应力的 SCF(maxSCF_avg),对于 FDD 束而言,NNF 中的差异约为 40% 至 75%,与纤维直径恒定(FCD)束相比。这强调了在失效预测中优先考虑最大应力标准而非传统平均应力模型的必要性。这些发现对依赖于平均 SCF 值的基准模型提出了挑战,为提高纤维断裂传播和复合材料强度预测的准确性提供了关键见解。
Behavior of architected instability-based metamaterials (AIMs) under out-of-plane geometric variations
Li Wan, Devin Young, Sibo Zhang, Yunlan Zhang
doi:10.1016/j.ijsolstr.2025.113682
面外几何变化下基于体系结构不稳定的超材料(AIMs)的行为
Architected instability-based metamaterials (AIMs), composed of multistable elementary building blocks, can undergo highly reversible geometric phase transformations, making them ideal for dynamic systems such as energy-dissipating structures and micro-electro-mechanical devices (MEMS). While prior research has largely focused on in-plane geometries and global responses, limited studies have explored how out-of-plane geometry affects the critical mechanical behavior of AIMs. Here, we study a representative class of AIMs constructed from curved beam–based building blocks, AIMs^cb, and investigate how their out-of-plane geometry influences key performance metrics. AIMs^cb rely on elastic buckling of slender beams to achieve reversibility, which limits their strength and energy dissipation. Their limited geometric tunability also constrained their utility in MEMS requiring diverse multistable behaviors. To address these limitations, we introduce a new geometric control parameter, k, to adjust the out-of-plane geometry of AIMs^cb and tune their mechanical properties. Our results show that k governs the localization of maximum strain, thereby controlling the reversibility and robustness of the multistable response. Using finite element simulations, digital image correlation, and cyclic compression experiments, we demonstrate that AIMs^cb with k>0 achieve up to 62.1% higher compressive strength and 45.6% greater energy dissipation, while also enabling a broader range of tunable multistable behaviors. The simplicity of fabricating out-of-plane geometries further enhances the practical applicability of AIMs^cb, extending their use from energy-focused applications such as packaging, shock absorption, and impact protection to adaptive systems including MEMS and other multistability-driven devices.
基于架构不稳定性的人造材料(AIMs)由多稳态的基本构建单元组成,能够经历高度可逆的几何相变,使其成为诸如耗能结构和微机电系统(MEMS)等动态系统的理想选择。尽管先前的研究主要集中在平面几何和整体响应上,但关于平面外几何如何影响 AIMs 的关键机械行为的研究却很少。在此,我们研究了一类由弯曲梁构建单元构成的代表性 AIMs,即 AIMs^cb,并探讨了其平面外几何如何影响关键性能指标。AIMs^cb 依靠细长梁的弹性屈曲来实现可逆性,这限制了其强度和能量耗散。其有限的几何可调性也限制了其在需要多种多稳态行为的 MEMS 中的应用。为了解决这些局限性,我们引入了一个新的几何控制参数 k,以调整 AIMs^cb 的平面外几何形状并调节其机械性能。我们的研究结果表明,k 控制着最大应变的局部化,从而控制着多稳态响应的可逆性和鲁棒性。通过有限元模拟、数字图像相关技术和循环压缩实验,我们证明了 k>0 的 AIMs^cb 实现了高达 62.1% 的抗压强度提升和 45.6% 的能量耗散增加,同时还能够实现更广泛的可调多稳态行为。平面外几何形状的简单制造进一步增强了 AIMs^cb 的实际应用性,使其应用范围从包装、减震和冲击防护等以能量为重点的应用扩展到包括 MEMS 和其他多稳态驱动设备在内的自适应系统。
Self-standing bearing capacity of symmetric circular masonry arches at finite friction: Technical handbook of physical states
Giuseppe Cocchetti, Egidio Rizzi
doi:10.1016/j.ijsolstr.2025.113693
有限摩擦条件下对称圆形砌体拱的自立承载力:物理状态技术手册
The present contribution concerns the issue of finite friction, in ruling self-standing bearing capacity and collapse modes of (symmetric circular) continuous masonry arches, with ideal inherent radial stereotomy. With primary reference, and as an enhancement, to classical “Couplet-Heyman problem”, of least-thickness form optimization, in the realm of purely-rotational collapse solutions, finite (Coulomb) friction is herein set, and thoroughly explored, in implying the possible appearance of sliding activation. The configuration of uniform (vertical) self-weight distribution is considered, herein for the true Milankovitch-like distribution accounting for the real centres of gravity of the ideal wedge-shaped chunks of the arch. The mechanical problem is ana lyzed, through a full an alytical approach, by deriving all physical domains, and explicitly separating safe vs. collapse states of the arch. Outcomes are eventually validated by a separate dedicated Complementarity Problem/Mathematical Programming numerical implementation, by fully consistent and illustrative results. Diverse key aspects are newly outlined, specifically for the representation of the characteristic solution variables as a function of friction and geometrical parameters, namely: (a) two- and three-dimensional state maps are an alytically elucidated, specifically at variable arch opening; (b) underlying numerical data are thoroughly evaluated and reported in handbook tables; (c) catalogue arrays of arch geometries and collapse modes are systematically formed. The a nalytical-numerical achievements shall allow for a full understanding of the problem at hand, and synoptically form a technical compendium, in the Mechanics (statics) of masonry arches, and specific related role of finite friction, in providing crucial self-bearing structural capacity.
目前的贡献涉及有限摩擦的问题,在控制(对称圆形)连续砌体拱的自立承载力和倒塌模式,具有理想的固有径向立体。作为对经典的最小厚度形式优化“Couplet-Heyman问题”的主要参考和改进,在纯旋转坍缩解领域,本文设置了有限(库仑)摩擦,并进行了深入探讨,暗示滑动激活的可能出现。考虑了均匀(垂直)自重分布的配置,这里考虑了真正的米兰科维奇分布,考虑了理想楔形拱块的真实重心。力学问题的分析,通过一个完整的分析方法,通过推导所有的物理域,并明确地分离安全与破坏状态的拱。结果最终通过单独的专用互补问题/数学规划数值实现,通过完全一致和说明性的结果进行验证。新概述了不同的关键方面,特别是作为摩擦和几何参数的函数的特征解变量的表示,即:(a)解析阐明了二维和三维状态图,特别是在可变拱开度处;(b)在手册表格中全面评估和报告基本数字数据;(c)系统地形成了拱的几何形状和坍塌模式目录阵列。分析-数值成果应允许充分理解手头的问题,并概要地形成一个技术纲要,在砌体拱的力学(静力学)和有限摩擦的具体相关作用中,提供关键的自承重结构能力。
River-like dislocation channel unleashes high tensile ductility in as-cast refractory multi-principal element alloys
Dingcong Cui, Bojing Guo, Bo Xiao, Qingfeng Wu, Zhijun Wang, Junjie Li, Lei Wang, Ji-jung Kai, Qiuming Wei, Jincheng Wang, Feng He
doi:10.1016/j.ijplas.2025.104497
河流状位错通道释放出铸态耐火多主元素合金的高拉伸延展性
Dislocations govern the plastic deformability of structural alloys. However, this beneficial role is compromised in refractory multi-principal element alloys (RMPEAs), where tensile ductility degrades owing to plastic strain localization via planar slip and dislocation channeling. We proposed a ductilization concept based on engineered dislocation channels to divert and dredge dislocations, achieving a notable tensile ductility of 21% and a yield strength exceeding the gigapascal mark in the as-cast RMPEA. To test the hypothesis that enhanced lattice distortion and chemical fluctuations act as dislocation diverters, we designed Ti53V15Hf32 (V15) and Ti41V27Hf32 (V27) RMPEAs with distinct volume misfit and Warren-Cowley parameters. In-situ synchrotron high-energy X-ray diffraction and trans mission electron microscopy an alyses revealed that increasing the volume misfit facilitates a transition in dislocation character from edge-based (V15) to screw-based (V27) under tensile loading. Atom probe tomography and high-angle annular dark-field scanning trans mission electron microscopy characterizations further demonstrated that elevated V content engenders pronounced chemical fluctuations, inducing diversion of dislocation slip and the formation of river-like dislocation channels. These dislocation channels, on one hand, promoted dynamic strain hardening through dense intersections of the channel boundaries. On the other hand, they prevented premature necking and failure by enabling dislocations to proliferate and cross-slip within channels. Consequently, the river-like dislocation channels delayed plastic instability at ultrahigh yield strength, thereby enabling the RMPEA to unleash exceptional tensile ductility. These findings provide a dislocation-harnessing pathway for pursuing strength-ductility synergy in RMPEAs.
位错控制着结构合金的塑性变形能力。然而,这种有益的作用在难熔多主元素合金(rmpea)中受到损害,其中由于平面滑移和位错通道引起的塑性应变局部化而导致拉伸延展性下降。我们提出了一种基于工程位错通道的延展性概念,以转移和疏通位错,在铸态RMPEA中获得了21%的显著拉伸延展性和超过千兆帕的屈服强度。为了验证增强的晶格畸变和化学波动作为位错转移剂的假设,我们设计了具有不同体积失配和Warren-Cowley参数的Ti53V15Hf32 (V15)和Ti41V27Hf32 (V27) RMPEAs。原位同步加速器高能x射线衍射和透射电镜分析表明,在拉伸载荷下,体积错配的增加促进了位错特征从边缘型(V15)向螺旋型(V27)的转变。原子探针层析成像和高角度环形暗场扫描透射电镜表征进一步表明,V含量的升高引起了明显的化学波动,导致位错滑移的转移和河流状位错通道的形成。这些位错通道一方面通过通道边界的密集相交促进了动态应变硬化。另一方面,它们通过使位错在通道内增殖和交叉滑移来防止过早的颈缩和失效。因此,河状位错通道延迟了超高屈服强度下的塑性不稳定性,从而使RMPEA释放出优异的拉伸延展性。这些发现为rmpea中追求强度-延性协同提供了脱位控制途径。
Height-independent optimal gradients in honeycombs boost energy absorption through delocalized deformation mechanis m
Yang Gao, Jie Jiang, Buyun Sun, Liwei Song, Jianping Zuo, Yujie Wei
doi:10.1016/j.tws.2025.114060
蜂窝中与高度无关的最优梯度通过离域变形机制促进能量吸收
Gradients, as ubiquitous features in nature, have served as a fundamental inspiration for the design and fabrication of high-performance synthetic materials and components with spatially varying properties. In our previous work, gradient strategy was implemented in honeycomb structures (HCSs) for enhanced impact resistance, where optimal gradient profiles were determined through a neural network-based machine learning approach. Following the established methodology, this study extends the optimization to graded HCSs of different characteristic heights (defined as H/d, where H is HCS height and d is indenter tip diameter). It was found that for both hexagonal and re-entrant HCSs, the optimal gradient parameters are independent of characteristic height, whereas their energy absorption capacity exhibits linear scaling with height. Through numerical an alysis and 3D printing-based experimental validation, this scaling behavior was attributed to the delocalized deformation mechanis m, which causes the energy dissipation zone to expand proportionally with increasing structural height. Results presented in this work would provide critical insights for implementing functionally graded HCSs in various energy-absorbing applications, significantly advancing their practical engineering utility.
梯度作为自然界中普遍存在的特征,为具有空间变化特性的高性能合成材料和部件的设计和制造提供了基本的灵感。在我们之前的工作中,梯度策略在蜂窝结构(HCSs)中实施,以增强抗冲击性,其中通过基于神经网络的机器学习方法确定最佳梯度剖面。根据已建立的方法,本研究将优化扩展到不同特征高度的分级HCS(定义为H/d,其中H为HCS高度,d为压头尖端直径)。结果表明,对于六边形和重入式hcs,其最优梯度参数与特征高度无关,而其能量吸收能力与高度呈线性正比关系。通过数值分析和基于3D打印的实验验证,这种结垢行为归因于离域变形机制,该机制导致耗能区随着结构高度的增加成比例地扩大。这项工作的结果将为在各种吸能应用中实现功能分级的hcs提供关键见解,显著提高其实际工程效用。
Sandwich panels with wavy hexachiral core layer against blast loads
Sunil Kumar Singh, Balaji Vengatachalam, Leong Hien Poh
doi:10.1016/j.tws.2025.114022
夹层板与波浪六手芯层抗爆炸荷载
The wavy hexachiral structure exhibits a high negative Poisson’s ratio (NPR) and in-plane isotropy over a large compressive deformation range, making it well suited for protective panels under high-intensity blast loading conditions. In this study, the performance of sandwich panels with wavy hexachiral core is benchmarked against honeycomb and re-entrant auxetic designs, to elaborate on its deformation characteristics as an enabler for improved protection against blast loads. To accomplish this, a series of comprehensive quasi-static and dynamic characterization tests are first conducted on 3D printed Stainless Steel 316L to determine the Johnson-Cook model parameters, which are then validated against s mall scale shock tube test and drop hammer test on the 3D printed specimens. Utilizing the validated model parameters, finite element simulations are performed to assess the blast response of sandwich panels with three different core layers (honeycomb, re-entrant and wavy hexachiral) under both far-field and close-in blast scenarios. The results show that the wavy hexachiral sandwich panel absorbs the most amount of impact energy and trans mits the lowest forces and stresses to the protected surface. This superior performance is induced due to the deformation characteristics of the wavy hexachiral structure, where an in-plane isotropic auxetic effect is activated across a wider impacted region and over a larger deformation range, as compared to other two core designs.
波浪状六手体结构在较大的压缩变形范围内具有较高的负泊松比(NPR)和面内各向同性,使其非常适合在高强度爆炸载荷条件下用作防护板。在本研究中,采用波浪型六手芯夹层板的性能与蜂窝和再入式减震设计进行了基准测试,以详细说明其变形特性,从而提高对爆炸载荷的保护能力。为此,首先对3D打印316L不锈钢进行了一系列全面的准静态和动态特性测试,以确定Johnson-Cook模型参数,然后在3D打印样品上进行小尺寸激波管试验和落锤试验验证。利用已验证的模型参数,进行了有限元模拟,以评估具有三种不同核心层(蜂窝状、重入状和波浪状六手状)的夹层板在远场和近场爆炸场景下的爆炸响应。结果表明,波浪状六手夹层板吸收的冲击能量最多,传递到被保护表面的力和应力最小。与其他两种核心设计相比,这种优异的性能是由于波浪状六手体结构的变形特性引起的,与其他两种核心设计相比,在更宽的冲击区域和更大的变形范围内,面内各向同性的auxetic效应被激活。
Biomimetic design optimization for support structure of offshore wind turbine subjected to coupled wind and wave loadings
Yangtian Yan, Hongming Tang, Chun Li, Yang Yang
doi:10.1016/j.tws.2025.114061
风浪耦合作用下海上风力机支撑结构仿生设计优化
This study examines biomimetic internal rib designs for offshore wind turbine towers to enhance dynamic performance under combined wind and wave loading while preserving overall stability. Two configurations are developed, the inerratic ribbed tower and the symmetrical biomimetic ribbed tower, and they are evaluated against a tower without ribs. Wind and wave time histories are computed with the open-source code Fatigue Aerodynamics Structures and Turbulence and the commercial package Advanced Quantitative Wave An alysis, respectively. These load histories are then applied to a shell-element finite-element model via a dynamic-link-library interface. Nonlinear soil-structure interaction is included in the coupled framework. Both ribbed configurations reduce tower top displacement relative to the tower without ribs, and the symmetrical biomimetic ribbed tower provides the greatest suppression, delivering at least 29.31% lower displacement amplitude across environmental cases and outperforming the inerratic ribbed tower in all scenarios. The inerratic ribbed tower attains higher stiffness and good stability but exhibits increased local stresses, with peak values rising by up to 18.67%, whereas the symmetrical biomimetic ribbed tower achieves a more uniform shell wall stress distribution with attenuated stress concentrations while maintaining s mall displacements. Buckling ana lyses indicate that the symmetrical biomimetic ribbed tower has s maller buckling mode deformations and a higher buckling factor, with an average increase of 72.16% across load cases, which corresponds to a substantially larger safety margin under identical loading. These findings demonstrate that biomimetic ribbing can optimize stress distribution, suppress dynamic response, and improve resistance to instability while maintaining the structural stability and safety of offshore wind turbine towers.
本研究探讨了海上风力涡轮机塔架的仿生内肋设计,以增强风浪联合载荷下的动态性能,同时保持整体稳定性。设计了两种结构,非不规则肋塔和对称仿生肋塔,并对无肋塔进行了评价。分别使用开放源代码“疲劳空气动力学结构与湍流”和商业软件包“高级定量波浪分析”计算风和波的时程。然后通过动态链接库接口将这些加载历史应用于壳单元有限元模型。耦合框架中考虑了非线性土-结构相互作用。与没有肋的塔相比,两种肋结构都减少了塔顶位移,对称的仿生肋塔提供了最大的抑制作用,在各种环境情况下至少降低了29.31%的位移幅度,在所有情况下都优于非不规则肋塔。非不规则肋塔具有较高的刚度和良好的稳定性,但局部应力增加,峰值升高高达18.67%,而对称肋塔在保持较小位移的情况下,壳壁应力分布更加均匀,应力集中减弱。屈曲分析表明,对称型仿生肋塔屈曲模态变形较小,屈曲系数较高,各载荷情况下平均增加72.16%,在相同载荷下具有较大的安全边界。这些研究结果表明,仿生肋可以优化应力分布,抑制动力响应,提高抗失稳能力,同时保持海上风力发电塔的结构稳定性和安全性。
Free Vibration Ana lysis of Sandwich Plates by Component-Wise Approach
E. Carrera, K. Abu Salem, R. Augello
doi:10.1016/j.tws.2025.114062
夹芯板的自由振动分析
This paper presents a comparative ana lysis of the linear response of sandwich structures with honeycomb cores, evaluated through different theoretical formulations implemented employing the Carrera Unified Formulation (CUF). This framework makes it possible to generate models with different levels of refinement, ranging from simplified to fully detailed descriptions. If the total structure is considered as a single layer, the Equivalent-Single Layer (ESL) is employed; if the skins and core are considered as components, the Layer-Wise (LW) is used; finally, the actual geometry of the core can be considered, along with the skin, leading to the Component-Wise (CW) approach. The research aims to assess the impact of the simplifications inherent in the ESL and LW models on the accuracy of modal predictions relative to the more detailed CW approach. A benchmark case is an alysed, and its natural frequencies and mode shapes are computed using all three approaches and compared with results obtained from commercial two- and tree-dimensional finite elements. The outcomes reveal that although the ESL and LW models are computationally efficient and can capture the global deformation of the structure, they fail to address local effects, which are accurately predicted by the CW model. The latter, hence, is necessary to provide precise information about the dynamic behaviour of the honeycomb sandwich structure. In particular, Modal Assurance Criterion (MAC) values between the modes of the skins assessed by means of LW and CW, show that even if a global mode shape can be well represented by LW, local effects can only be detected by CW approach. This difference introduce an underestimation in the evaluated frequencies, which achieves -19% and -10% in case of bending and torsional modes within the first ten modes, respectively. Given the widespread use of honeycomb sandwich panels in aerospace structures for their high stiffness-to-weight ratio and vibro-acoustic insulation properties, the results underline the importance of adopting refined CW-based CUF models whenever accurate predictions of the dynamic response are required.
本文通过采用Carrera统一公式(CUF)的不同理论公式对蜂窝芯夹层结构的线性响应进行了比较分析。这个框架使得生成具有不同精细化级别的模型成为可能,从简化到完全详细的描述。如果将总结构视为单层,则采用等效单层(ESL);如果皮肤和核心被视为组件,则使用分层明智(LW);最后,可以考虑核心的实际几何形状,以及皮肤,从而导致组件智能(CW)方法。本研究旨在评估相对于更详细的连续波方法,ESL和LW模型固有的简化对模态预测准确性的影响。分析了一个基准案例,用这三种方法计算了其固有频率和模态振型,并与商用二维和三维有限元计算结果进行了比较。结果表明,虽然ESL和LW模型计算效率高,可以捕获结构的整体变形,但它们无法处理局部效应,而CW模型可以准确预测局部效应。因此,后者对于提供蜂窝夹层结构的动态行为的精确信息是必要的。特别是,模态保证准则(MAC)的皮肤的模态之间的值评估通过LW和连续波,表明即使一个全局模态振型可以很好地表示由LW,局部影响只能通过连续波方法检测。这种差异导致了评估频率的低估,在前10个模态中,弯曲模态和扭转模态分别达到-19%和-10%。鉴于蜂窝夹层板在航空航天结构中的广泛应用,其具有高刚度重量比和振声隔热性能,研究结果强调了在需要准确预测动态响应时采用基于蜂窝夹层板的精细CUF模型的重要性。
Hysteretic behavior and constitutive model of Q960E ultra-high strength steel under cyclic loading
Jinpeng Cheng, Yuyin Wang, Andi Su, Ou Zhao
doi:10.1016/j.tws.2025.114063
Q960E超高强度钢循环加载滞回性能及本构模型
The hysteretic behavior of Q960E ultra-high strength steel (UHSS) was thoroughly investigated through the experiments and was presented in this paper. Cyclic tests as well as monotonic tensile tests on totally sixteen Q960E UHSS coupons were conducted. The influence of strain amplitude, strain increment, the number of cycles and pre-strain on the hysteretic behavior of Q960E UHSS were investigated. Subsequently, number of cycles, cumulative energy dissipation and equivalent viscous damping ratio of Q960E UHSS, Q345B steel and Q460D steel were compared, with the differences in hysteretic behavior between UHSS and normal strength steel highlighted. It is also revealed that Q960E UHSS and Q345B have similar energy dissipation capacities, indicating that Q960E UHSS still has the potential to be used in seis mic conditions after reasonable structural design. Moreover, the test results demonstrated that Q960E UHSS exhibits a significant cycle softening phenomenon compared to normal strength steel under cyclic loading. To define the cyclic stress–strain relationship, key parameters of two widely-used constitutive models (i.e. the Chaboche model and the Dong-Shen model) were calibrated and validated based on the data obtained from cyclic tests, with the uniform models also proposed in terms of different loading cases. The validation results indicated that both models can well predict the hysteretic behavior of Q960E UHSS, while the prediction accuracy of the Dong-Shen model is better than that of the Chaboche model due to the inclusion of deterioration of the elastic modulus and degradation of the strain hardening coefficient.
通过试验对Q960E超高强度钢(UHSS)的迟滞行为进行了深入研究。对共16张Q960E超高压钢试件进行了循环试验和单调拉伸试验。研究了应变幅值、应变增量、循环次数和预应变对Q960E超高压合金迟滞特性的影响。随后,比较了Q960E、Q345B和Q460D三种钢的循环次数、累积耗能和等效粘滞阻尼比,突出了UHSS与普通强度钢滞回性能的差异。Q960E超高频钢与Q345B具有相近的耗能能力,说明经过合理的结构设计,Q960E超高频钢仍有在地震工况下使用的潜力。试验结果表明,在循环荷载作用下,Q960E超高压钢比普通强度钢表现出明显的循环软化现象。为了定义循环应力-应变关系,基于循环试验数据对两种常用的本构模型(Chaboche模型和Dong-Shen模型)的关键参数进行了标定和验证,并针对不同的加载工况提出了统一的模型。验证结果表明,两种模型均能较好地预测Q960E超高频钢的迟滞行为,但由于考虑了弹性模量的劣化和应变硬化系数的劣化,东申模型的预测精度优于Chaboche模型。