【新文速递】2025年6月18日固体力学SCI期刊最新文章

 

今日更新：International Journal of Solids and Structures 1 篇，Journal of the Mechanics and Physics of Solids 3 篇，International Journal of Plasticity 1 篇，Thin-Walled Structures 4 篇

International Journal of Solids and Structures

Quasi-brittle fracture mechanics to assess ex vivo Raloxifene treatment of human cortical bone

Glynn Gallaway, Rachel K. Surowiec, Matthew R. Allen, Joseph M. Wallace, Laura J. Pyrak-Nolte, John Howarter, Thomas Siegmund

doi:10.1016/j.ijsolstr.2025.113506

准脆性骨折力学评估体外雷洛昔芬治疗人类皮质骨

Osteoporosis patients are growing in number, but treatments do not fully reduce fracture risk. Fracture mechanics, historically applied to engineering materials, provides tools to understand the non-linear behavior in cortical bone fractures and inform further treatment opportunities. Specifically, this study demonstrates the relevance of quasi-brittle fracture in the assessment of human cortical bone. Human cortical bone from one male donor femur was sectioned into notched prismatic bars and randomly assigned to two treatment groups: a control group and a treatment group. Treatment consisted of ex vivo soaking with Raloxifene, an FDA-approved pharmaceutical. In-situ four-point bend fracture experiments were conducted in the beamline of a 3D X-ray microscope under physiologic conditions. Fracture process zone (FPZ) length was measured directly from images. Quasi-brittle fracture mechanics (QBFM) theory was applied to assess treatment effects and determine bone tissue properties. QBFM scaling laws are applied to theoretically predict treatment effects at the organ length scale. In both treatment groups, the FPZ is large compared to the microstructure and sample dimension. Raloxifene treatment increases the tissue FPZ length and tissue fracture toughness of the material. Raloxifene treatment significantly decreases the brittleness of bone tissue at the experimental and organ length scales; non-linear relationships emerge from both microstructural influences on the fracture process. Due to the large FPZ and quasi-brittle behavior of the tissue, size effects on apparent fracture toughness emerge. The QBFM theory allows for understanding individual experiments in the context of size and treatment.

骨质疏松症患者越来越多，但治疗并不能完全降低骨折风险。断裂力学历来应用于工程材料，为理解皮质骨骨折的非线性行为提供了工具，并为进一步的治疗提供了机会。具体来说，这项研究证明了准脆性骨折在人类皮质骨评估中的相关性。将一名男性供体股骨的人类皮质骨切片成缺口柱状条，随机分为两组：对照组和治疗组。治疗包括体外浸泡雷洛昔芬，一种fda批准的药物。在生理条件下，在三维x射线显微镜下进行了原位四点弯曲断裂实验。断裂过程区（FPZ）长度直接从图像中测量。准脆性断裂力学（QBFM）理论用于评估治疗效果和确定骨组织特性。应用QBFM标度定律在器官长度尺度上理论上预测治疗效果。在两个处理组中，与微观结构和样品尺寸相比，FPZ都很大。雷洛昔芬处理增加了材料的组织FPZ长度和组织断裂韧性。雷洛昔芬处理显著降低骨组织在实验和器官长度尺度上的脆性；两种微观结构对断裂过程的影响均呈现非线性关系。由于组织的大FPZ和准脆性行为，尺寸对表观断裂韧性产生影响。QBFM理论允许在大小和处理的背景下理解个体实验。

Journal of the Mechanics and Physics of Solids

Stress singularities in the generalised Comninou frictional contact model for interface cracks in anisotropic bimaterials

María A. Herrera-Garrido, Vladislav Mantič

doi:10.1016/j.jmps.2025.106214

各向异性材料界面裂纹广义cominou摩擦接触模型中的应力奇异性

Characterisation of the singular asymptotic solution at the tip of interface cracks between dissimilar materials is essential for assessing the structural integrity of heterogeneous material systems. In the present article, the Comninou contact model, one of the most relevant and widely used models, originally introduced for isotropic bimaterials, is generalised for the first time to any anisotropic linear elastic bimaterial under generalised plane strain, considering a frictional sliding contact zone adjacent to the crack tip. The classical Coulomb friction law is considered. A novel procedure, based on the Stroh formalism of linear anisotropic elasticity, is developed to derive a system of two new coupled nonlinear eigenquations given in closed form for two unknown parameters of such singular solutions, the singularity exponent λ and the sliding angle ω in the contact zone. In general, this eigensystem is solved by an iterative method, although in some cases, closed-form solutions are provided. Parametric studies of the influence of material orientations and the friction coefficient value on variations of λ and ω reveal several surprising features of this asymptotic solution. The present approach is successfully verified by comparing some of the results obtained with those reported in previous studies, wherever possible. Note that previous studies essentially focused on bimaterials with specific orientations, considerably simplifying the problem. The singular solutions obtained can also be used in the asymptotic analysis of elastic fields at the boundary between stick and slip zones in partial slip contact problems for anisotropic materials.

异种材料界面裂纹尖端奇异渐近解的表征对于评价非均质材料体系的结构完整性至关重要。在本文中，Comninou接触模型是最相关和最广泛使用的模型之一，最初是为各向同性双材料引入的，首次推广到广义平面应变下的任何各向异性线弹性双材料，考虑了裂纹尖端附近的摩擦滑动接触区。考虑了经典的库仑摩擦定律。基于线性各向异性弹性力学的Stroh形式，导出了一个由两个未知参数（奇异指数λ和接触区滑动角ω）组成的封闭耦合非线性方程组。一般来说，这个特征系统是用迭代法求解的，尽管在某些情况下，也提供了封闭形式的解。材料取向和摩擦系数值对λ和ω变化的影响的参数化研究揭示了该渐近解的几个惊人特征。通过尽可能将所获得的一些结果与以前研究报告的结果进行比较，成功地验证了本方法。请注意，以前的研究基本上集中在具有特定方向的双材料上，这大大简化了问题。所得奇异解也可用于各向异性材料部分滑移接触问题粘滑区边界弹性场的渐近分析。

Towards understanding structure-function relationships in random fiber networks

Peerasait Prachaseree, Emma Lejeune

doi:10.1016/j.jmps.2025.106221

迈向理解随机光纤网络中的结构-功能关系

Random fiber networks form the structural foundation of numerous biological tissues and engineered materials. From a mechanics perspective, understanding the structure-function relationships of random fiber networks is particularly interesting because when external force is applied to these networks, only a small subset of fibers will actually carry the majority of the load. Specifically, these load-bearing fibers propagate through the network to form load paths, also called force chains. However, the relationship between fiber network geometric structure, force chains, and the overall mechanical behavior of random fiber network structures remains poorly understood. To this end, we implement a finite element model of random fiber networks with geometrically exact beam elements, and use this model to explore random fiber network mechanical behavior. Our focus is twofold. First, we explore the mechanical behavior of single fiber chains and random fiber networks. Second, we propose and validate an interpretable analytical approach to predicting fiber network mechanics from structural information alone. Key findings include insight into the critical strain-stiffening transition point for single fiber chains and fiber networks generated from a Voronoi diagram, and a connection between force chains and the distance-weighted graph shortest paths that arise by treating fiber networks as spatial graph structures. This work marks an important step towards mapping the structure-function relationships of random fiber networks undergoing large deformations. Additionally, with our code distributed under open-source licenses, we hope that future researchers can directly build on our work to address related problems beyond the scope defined here.

随机纤维网络构成了许多生物组织和工程材料的结构基础。从力学的角度来看，理解随机纤维网络的结构-功能关系是特别有趣的，因为当外力施加到这些网络上时，只有一小部分纤维实际上承担了大部分载荷。具体地说，这些承重纤维通过网络传播形成负载路径，也称为力链。然而，纤维网络几何结构、力链和随机纤维网络结构的整体力学行为之间的关系仍然知之甚少。为此，我们实现了具有几何精确梁单元的随机光纤网络的有限元模型，并利用该模型来探索随机光纤网络的力学行为。我们的重点是双重的。首先，我们探讨了单纤维链和随机纤维网络的力学行为。其次，我们提出并验证了一种仅从结构信息预测纤维网络力学的可解释分析方法。主要发现包括洞察单纤维链和由Voronoi图生成的纤维网络的关键应变硬化过渡点，以及通过将纤维网络视为空间图结构而产生的力链和距离加权图最短路径之间的联系。这项工作标志着绘制大变形随机光纤网络的结构-功能关系的重要一步。此外，随着我们的代码在开源许可下发布，我们希望未来的研究人员可以直接基于我们的工作来解决超出这里定义的范围的相关问题。

Toughening mechanism of macroscale heterogeneous soft materials: a systematic study from the perspective of energy release rate

Yijie Cai, Daochen Yin, Jiabao Bai, Siqi Yan, Zihang Shen, Shaoxing Qu, Zheng Jia

doi:10.1016/j.jmps.2025.106243

宏观非均质软材料的增韧机理：从能量释放率角度的系统研究

Due to their enhanced fracture and fatigue resistance, macroscale heterogeneous soft materials consisting of alternating hard/soft phases have become increasingly prevalent in a wide range of applications. Despite their widespread use and apparent advantages, a comprehensive and precise understanding of the toughening mechanisms behind them remains elusive. Here, we systematically study the fracture mechanics of hyperelastic bi-material sheets (i.e., the basic building block of macroscale heterogeneous soft materials) through a combination of experiments, numerical calculation, and analytical analysis. First, employing heterogeneous PAAm hydrogels as a model system, we experimentally observe the hindering effect of the bi-material interface on the crack propagation from the soft phase into the hard phase, and identify the toughening rule of macroscale heterogeneous soft materials – the increase in the shear modulus contrast between the soft and hard phases leads to a substantial enhancement in the stretch at break of pre-cut heterogeneous soft materials. Second, through finite element calculations, we uncover the toughening mechanism of macroscale heterogeneous soft materials from the perspective of energy release rate: when the soft-phase crack propagates close to the soft-hard interface, the energy release rate rapidly plummets, and the reduction in the energy release rate is more obvious with the increase of the shear modulus contrast between the soft and hard phases, which plays a pivotal role in toughening heterogeneous soft materials. Lastly, an analytical fracture theory from the perspective of crack-tip deformation is derived for macroscale heterogeneous soft materials. By comparing the measured/calculated stretches at break from experiments, finite element calculation, and the analytical model, we reveal the precision, advantage and depth of understanding the toughening mechanism of macroscale heterogeneous soft materials from the perspective of energy release rate. The findings are applicable to a wide variety of hyperelastic soft materials, including biological materials, hydrogels and elastomers, offering valuable insights into the design of heterogeneous soft materials with superior mechanical properties.

由于具有较强的抗断裂和抗疲劳性能，由硬/软相间组成的宏观非均质软材料在广泛的应用中越来越普遍。尽管它们的广泛使用和明显的优势，但对其背后的增韧机制的全面和精确的理解仍然是难以捉摸的。本文通过实验、数值计算和分析相结合的方法，系统地研究了超弹性双材料片材（即宏观非均质软材料的基本组成部分）的断裂力学。首先，以非均相PAAm水凝胶为模型体系，实验观察了双材料界面对裂纹由软相向硬相扩展的阻碍作用，确定了宏观尺度非均质软材料的增韧规律——软、硬两相剪切模量对比的增加导致预切非均质软材料断裂拉伸的大幅增强。其次，通过有限元计算，从能量释放率的角度揭示了宏观尺度非均质软材料的增韧机理：当软相裂纹向软硬界面附近扩展时，能量释放率迅速下降，且随着软、硬相剪切模量对比的增大，能量释放率的降低更为明显，对非均质软材料的增韧起着举足轻重的作用。最后，从裂纹尖端变形的角度推导了宏观非均质软质材料的解析断裂理论。通过对比实验、有限元计算和分析模型的断裂拉伸实测值和计算值，揭示了从能量释放率角度理解宏观非均质软质材料增韧机理的准确性、优越性和深度。这些发现适用于各种超弹性软材料，包括生物材料、水凝胶和弹性体，为设计具有优越机械性能的非均质软材料提供了有价值的见解。

International Journal of Plasticity

The driving force for twin boundary migration in phase field model coupled to crystal plasticity finite element

Linfeng Jiang, Guisen Liu, Peipeng Jin, Yao Shen, Jian Wang

doi:10.1016/j.ijplas.2025.104397

晶体塑性有限元耦合相场模型中双边界迁移的驱动力

Deformation twinning, a critical deformation mechanism in metal with low-symmetry crystal structures, accommodates localized shear and reorientates a domain with a specific shear and rotation angle. Twin propagation and thickening occur via twinning dislocations/disconnections at the atomic scale, while at larger scales they are governed by the migration of twin boundaries. Phase field (PF) and other continuum methods for modeling deformation twinning often incorporates self-stress effects arising from boundary defects. These self-stress fields, which are singular or discontinuous, introduce artificial forces that distort interface behavior, leading to inaccuracies in predicting interface migration and microstructure evolution. To address this issue, we propose a stress correction scheme that diminishes self-stress effects on the migration of twin interfaces. By analyzing stress field characteristics associated with three-dimensional twins with sharp or diffuse interfaces using dislocation theory and crystal plastic finite element (CPFE) method, we introduce a “correction zone” to redefine the driving force. This approach interpolates stress outside the corrected region to provide an approximate representation of the interface driving force. Validation within the CPFE framework confirms that the scheme effectively diminishes self-stress influences. Finally, we implement the correction scheme in the CPFE-PF model to simulate the dynamic evolution of a three-dimensional twin and demonstrate the twin interface migration behavior compared to the scenario that using the stress containing self-stress as driving force.

变形孪晶是具有低对称性晶体结构的金属中的一种重要变形机制，它能够适应局部剪切，并以特定的剪切和旋转角度重新定位一个区域。在原子尺度上，孪晶的扩展和增厚是通过孪晶位错/断裂发生的，而在更大的尺度上，它们是由孪晶边界的迁移控制的。相场（PF）和其他连续体方法建模变形孪晶通常包含由边界缺陷引起的自应力效应。这些奇异或不连续的自应力场引入了人为的力，扭曲了界面行为，导致预测界面迁移和微观结构演变的不准确性。为了解决这个问题，我们提出了一种应力校正方案，以减少自应力对双界面迁移的影响。利用位错理论和晶体塑性有限元（CPFE）方法，分析了具有尖锐或扩散界面的三维孪晶的应力场特征，引入了“修正区”来重新定义驱动力。这种方法在修正区域外插入应力，以提供界面驱动力的近似表示。CPFE框架内的验证证实，该方案有效地减少了自我压力的影响。最后，我们在CPFE-PF模型中实现了修正方案，模拟了三维孪晶的动态演化，并与使用包含自应力的应力作为驱动力的情况相比，展示了孪晶界面的迁移行为。

Thin-Walled Structures

Advancing energy absorption in additively manufactured meta-plates through machine learning-driven inverse design

Qingyuan Liu, Liang Mou, Lan Zhang, Shuai Yuan, Haiyang Peng, Jinguo Ge, Yunze Yang, Yuhong Long, Hualin Fan

doi:10.1016/j.tws.2025.113519

通过机器学习驱动的逆设计推进增材制造元板的能量吸收

Transportation safety systems (e.g., automotive crash boxes, train front-end energy absorption structures) require energy absorbers to simultaneously control energy absorption (EA), peak crushing force or stress (PCF, PCS), mean crushing force or stress (MCF, MCS), and undulation of load carrying (ULC). This study proposed meta-plates, characterized by stacking layers, twisting angles, and wall thicknesses. An additive manufacturing constrained machine learning and genetic algorithm (ML-GA) co-design framework was designed to optimize the crashworthiness performances. Finite element (FE) simulations incorporating nonlinear material models and contact algorithms, combined with Latin hypercube sampling, efficiently explored 10.7% of the design space, capturing nonlinear large deformations under quasi-static compression up to 50% strain. 600 independent samples were calculated to evaluate the performance of the ML model, which achieved 96.0% prediction accuracy (R2score). At a given target relative density (ρ∗) ranging from 4% to 14%, the optimized meta-plates demonstrated 80%–200% higher MCS compared to benchmark shell/plate lattices at equivalent ρ∗. The meta-plates also exhibited directional crushing behavior with crushing force efficiency (CFE) around 1.0. Experimental validations show <6% deviation from predictions also witnessed the high MCS, low PCS, and nearly free from stress fluctuation for meta-plates with 8%, 10%, and 14% ρ∗ values. This methodology enables rapid design of lightweight energy absorbers with tunable deformation modes and extremely high material efficiency, providing a paradigm shift from trial-and-error approaches to intelligent crashworthy structure development.

交通运输安全系统（例如汽车防撞箱、列车前端能量吸收结构）需要能量吸收器同时控制能量吸收（EA）、峰值压溃力或应力（PCF、PCS）、平均压溃力或应力（MCF、MCS）以及承载载荷的波动（ULC）。本研究提出了具有堆叠层数、扭转角度和壁厚特征的元板。设计了一种受增材制造约束的机器学习和遗传算法（ML-GA）协同设计框架，以优化其抗压溃性能。结合非线性材料模型和接触算法的有限元（FE）模拟，结合拉丁超立方体抽样，高效地探索了 10.7% 的设计空间，捕捉了高达 50% 应变的准静态压缩下的非线性大变形。计算了 600 个独立样本以评估机器学习模型的性能，其预测准确率（R2 分数）达到 96.0%。在给定的目标相对密度（ρ）为 4% 至 14% 的范围内，优化后的元板在等效 ρ 下的 MCS 比基准壳/板晶格高 80% 至 200%。这些超材料板还表现出定向压碎行为，压碎力效率（CFE）约为 1.0。实验验证表明，对于 ρ* 值分别为 8%、10% 和 14% 的超材料板，其偏差小于 6%，同时具有高多向性、低各向异性以及几乎不受应力波动影响的特点。这种方法能够快速设计出具有可调变形模式和极高材料效率的轻质能量吸收器，实现了从反复试验方法到智能抗撞性结构开发的范式转变。

Analytical solution for low-velocity impact response of three-dimensional woven composite plates considering three-dimensional heterogeneity

Yinxiao Zhang, Haitao Wei, Zheng Gong, Chao Zhang

doi:10.1016/j.tws.2025.113588

考虑三维非均质性的三维编织复合材料板低速冲击响应解析解

In this study, an analytical solution for the response of a rectangular three-dimensional woven composite (3DWC) plate under low-velocity impacts is derived. The plate is under simply-supported edge conditions, and the dynamic displacement field is expressed in a mixed form by in-plane double Fourier series and cubic polynomials through the thickness. Governing equations for the plate under impact loads are derived via Hamilton’s principle, and heterogeneity in all directions is considered by verifying the stiffness with the coordinates. An equivalent geometric model consisting of laminas is then established to reduce the geometric complexity of the 3DWC and facilitate calculation. The analytical results (including response curves and the distribution of field variations) are validated using the finite element results. The relationship between the distribution of the normal stress and the geometric parameters of the yarns is obtained from the results. The numerical results clearly demonstrate the influence of yarn density, yarn width, and impact energy on the impact response of the 3DWC. This efficient and accurate analytical solution can serve as benchmarks to numerical methods such as the finite element methods, and can facilitate efficient design and structure optimization of engineering structures.

本文推导了矩形三维编织复合材料（3DWC）板在低速冲击下的响应解析解。板在简支边缘条件下，动态位移场通过厚度以平面内双傅立叶级数和三次多项式的混合形式表示。利用Hamilton原理推导了冲击载荷作用下板的控制方程，并通过坐标验证了板的刚度，考虑了板在各个方向上的非均质性。然后建立由层压板组成的等效几何模型，以降低3DWC的几何复杂性，方便计算。利用有限元结果验证了分析结果（包括响应曲线和场变化分布）。得到了纱线正应力分布与纱线几何参数之间的关系。数值结果清楚地显示了纱线密度、纱线宽度和冲击能量对3DWC冲击响应的影响。这种高效、准确的解析解可以作为有限元等数值方法的标杆，有利于工程结构的高效设计和结构优化。

Experimental and numerical assessment of stainless steel SHS T-joints subjected to brace axial compression

Chrysthyan R.S. de Oliveira, Luciano R.O. de Lima, Monique C. Rodrigues, André T. da Silva, Ben Young

doi:10.1016/j.tws.2025.113589

支撑轴压作用下不锈钢SHS t形接头的试验与数值评价

Hollow structural sections are widely used in construction worldwide due to their various constructive advantages, such as high resistance to axial forces, which allow their use in trusses, resulting in hollow section joints. In addition, stainless steel has unique characteristics, such as high corrosion and mechanical resistance. However, most of the design equations implemented in current codes were originally developed for carbon steel and later adapted for stainless steel, without taking into account the actual behaviour of this material. This study assesses the behaviour of AISI 304 austenitic stainless steel square hollow section T-joints with the ratio of brace-to-chord width β ≤ 0.8 experimentally and numerically. An experimental programme was developed based on twelve tests on joints with six different geometric configurations, resulting in specimens with values of 0.4 ≤ β ≤ 0.8. Subsequently, numerical modelling was developed using the ANSYS software and validated against the experimental results to generate additional numerical data. According to the results obtained in the parametric analysis, it was concluded that both β parameter (ratio of brace width to chord width) and the chord thickness (t0) have a direct influence on the tubular joint’s resistance. It was noticed that the chord face failure is predominant in these joints. However, there is a possibility of a combined failure mode for joints with 0.7 ≤ β ≤ 0.8. Regarding the European code and Brazilian standard provided a conservative design, based on a reliability analysis, a new formula was developed for the design of stainless steel tubular joints with β ranging from 0.4 to 0.8. This procedure is shown to outperform the original design formulation from the codes.

空心结构截面由于其各种构造优点，如高抗轴向力，允许在桁架中使用，从而产生空心截面接缝，在世界范围内广泛应用于建筑中。此外，不锈钢具有独特的特性，如高腐蚀和耐机械性能。然而，现行规范中实施的大多数设计方程最初是为碳钢开发的，后来适用于不锈钢，而没有考虑到这种材料的实际性能。本研究评估了AISI 304奥氏体不锈钢方形空心截面t形接头的行为与支撑-弦宽比 β 实验和数值≤0.8。通过对6种不同几何形态的关节进行12次试验，制定了一套试验方案，得到了0.4≤的试件 β ≤0.8。随后，利用ANSYS软件建立了数值模型，并与实验结果进行了验证，以生成额外的数值数据。根据参数分析的结果，得出了两者的结论 β 参数（支撑宽度与弦宽之比）和 弦厚（t0）对管状节点的阻力有直接影响。值得注意的是，在这些关节中，弦面失效是主要的。然而，对于0.7≤的接头，存在组合破坏模式的可能性 β ≤0.8。针对欧洲规范和巴西标准提供的保守设计，在可靠性分析的基础上，提出了一种新的不锈钢管节点设计公式 β 从0.4到0.8。该程序的性能优于规范中的原始设计公式。

Local buckling behavior and bearing capacity of cold-formed S700 high strength steel built-up box-section stub columns

Jiahao Zhang, Andi Su, Hua Yang

doi:10.1016/j.tws.2025.113590

冷弯S700高强钢组合箱形截面短柱局部屈曲行为及承载力

This paper investigates the cross-sectional behavior and resistance of cold-formed S700 high strength steel (CFHSS) built-up box-section stub columns through an extensive experimental and numerical program. The experimental program contained tensile coupon tests, initial local geometric imperfections measurements and 12 stub column tests. The numerical program was subsequently performed, and finite element models were developed and validated against the experimental results and then employed in parametric studies to generate further numerical data. The obtained test and numerical data were used to evaluate the applicability of the existing design methods in European and American specifications to CFHSS built-up box-sections. It is revealed from the evaluation results that the codified slenderness limits in both codes can be accurately applied to classify internal web and outstand flange of CFHSS built-up box-sections in pure compression. The graphical and quantitative assessment results also show that the compression resistances predicted by the effective width method codified in two design codes are generally conservative but relatively consistent, and the current direct strength method specified in the American specification yields accurate ultimate loads for specimens of small local buckling slenderness (i.e. less than 1.35), but unsafe predictions for intermediate to large local buckling slenderness. A modified design approach based on DSM was proposed for CFHSS built-up box-section stub columns and demonstrated to improve design accuracy and consistency, with its reliability verified through statistical analysis, to address shortcomings of the current design methods.

本文通过大量的试验和数值计算程序研究了冷弯高强度钢（CFHSS）组合箱形截面短柱的截面性能和阻力。实验程序包括拉伸接头试验、初始局部几何缺陷测量和12根短柱试验。随后执行数值程序，并根据实验结果开发和验证有限元模型，然后将其用于参数研究以生成进一步的数值数据。利用所获得的试验和数值数据，对现有欧美规范设计方法在CFHSS组合箱形截面上的适用性进行了评价。评价结果表明，两种规范的长细限值可以准确地用于CFHSS组合箱形截面的内腹板和突出翼缘的纯压缩分类。图形化和定量评价结果还表明，两种设计规范中采用的有效宽度法预测的抗压抗力总体上较为保守，但相对一致；目前美国规范中规定的直接强度法对小局部屈曲长细比（即小于1.35）的试件给出了准确的极限荷载，但对中大局部屈曲长细比的预测不安全。针对CFHSS组合箱形截面短柱设计方法的不足，提出了一种改进的基于DSM的设计方法，并通过统计分析验证了该方法的可靠性，提高了设计的准确性和一致性。