今日更新:International Journal of Solids and Structures 3 篇,Journal of the Mechanics and Physics of Solids 1 篇,Thin-Walled Structures 8 篇
International Journal of Solids and Structures
Elastic wave propagation in magneto-active fibre composites
Harold Berjamin, Stephan Rudykh
doi:10.1016/j.ijsolstr.2025.113373
磁活性纤维复合材料中的弹性波传播
Fibre-reinforced elastomers are lightweight and strong materials that can sustain large deformations. When filled with magnetic particles, their effective mechanical response can be modified by an external magnetic field. In the present study, we propose an effective theory of fibre-reinforced composite, based on a neo-Hookean elastic response and a linear magnetic law in each phase. The theory is shown suitable to describe the motion of composite cylinders. Furthermore, it is found appropriate for the modelling of fibre-reinforced composites subjected to a permanent magnetic field aligned with the fibres. To reach this result, we use the incremental theory (‘small on large’), in combination with homogenisation theory and the Bloch-Floquet method. This way, we show that wave directivity is sensitive to the application of a permanent magnetic field, whereas the frequency range in which wave propagation is forbidden is not modified by such a load (the band gaps are invariant). In passing, we describe a method to deduce the total stress in the material based on the measurement of two wave speeds. Furthermore, we propose an effective energy function for the description of nonlinear composites made of Yeoh-type generalised neo-Hookean fibres within a neo-Hookean matrix.
Eulerian rates of elastic incompatibilities for crystal plasticity applied to size-dependent hardening in finite bending
Lorenzo Bardella, M.B. Rubin, Andrea Panteghini
doi:10.1016/j.ijsolstr.2025.113376
有限弯曲条件下晶体塑性的欧拉弹性不相容率应用于尺寸相关硬化
By following the work Rubin and Bardella (2024), this investigation develops measures of rates of elastic incompatibilities, denoted as R i j , for crystal plasticity. This relies on Eulerian constitutive equations for finite-deformation anisotropic elastoplasticity governed by the evolution of microstructural material vectors. The rates R i j depend on the crystallography as this enters the rate of plasticity L p and are obtained by evaluating the opposite of the current curl of L p relative to the microstructural vectors. Because of this, each component of R i j is invariant under superposed rigid body motions, such that it can be independently employed in the constitutive equations. In crystal plasticity, the adopted Eulerian framework allows for singling out in R i j the contributions due to rates of densities of geometrically necessary dislocations and to the elastic distortion of the crystal lattice. In this work, R i j are used to enhance the hardening, which is applied to the size-dependent material response of structurally thick circular sectors subjected to uniform large-deformation bending.
通过遵循Rubin和Bardella(2024)的工作,本研究开发了弹性不相容率的测量方法,表示为R i j,用于晶体塑性。这依赖于有限变形各向异性弹塑性的欧拉本构方程,该方程受微观结构材料矢量演化的支配。速率R i j取决于结晶学,因为它进入塑性速率L p,并通过评估相对于微观结构矢量的L p的当前旋度的相反方向获得。因此,R i j的每个分量在刚体叠加运动下是不变的,因此它可以独立地应用于本构方程中。在晶体塑性中,所采用的欧拉框架允许在R i j中挑出由于几何上必要的位错密度率和晶体晶格的弹性变形而产生的贡献。在这项工作中,使用R i j来增强硬化,这适用于受均匀大变形弯曲的结构厚圆形扇形的尺寸相关材料响应。
Elastic–plastic crack-tip-opening-displacement-based description for surface, corner and embedded cracks tip stress field
Jianqiang Zhang, Pengfei Cui, Wanlin Guo
doi:10.1016/j.ijsolstr.2025.113395
基于弹塑性裂纹尖端-开度-位移的表面、角部和嵌埋裂纹尖端应力场描述
Since part-through crack growth stages occupy most of crack growth life of engineering structures, it is essential to investigate the fracture parameters of part-through cracks. However, the complex three-dimensional (3D) stress states make it difficult to efficiently dominate the crack-tip fields. Here, the 3D elastic–plastic stress intensity factor Kδ-Tz is extended to dominate part-through cracks. Systematic 3D finite element (FE) analyses are conducted for typical part-through cracks (embedded, corner, and surface cracks) considering different elliptical ratios and hardening exponents. It is found that the predicted stress distributions by the δ-Tz solution agree well with 3D FE results. Additionally, the predictive performance of the δ-Tz solution improves with increasing hardening exponents. Across all experimental and numerical results, the variation of J-integral along the crack front line can reach 200%, while remaining within 21% for Kδ-Tz. These results demonstrate that Kδ-Tz can reduce geometric constraints effectively and be a more stable elastic–plastic fracture parameter for part-through cracks in engineering structures.
Cracking resistance of nanostructured freestanding tungsten films
S.E. Naceri, M. Rusinowicz, M. Coulombier, T. Pardoen
doi:10.1016/j.jmps.2025.106143
纳米结构独立钨膜的抗裂性能
The fracture toughness Kc of freestanding tungsten films is explored using a MEMS-based crack-on-chip method and multiscale finite element modelling, in the context of miniaturised testing of structural materials for nuclear fusion applications. The primary ambition is to determine to what extent testing thin nanostructured tungsten films can provide relevant data with respect to bulk tungsten fracture behavior, particularly in view of irradiation testing. The second objective is to enhance fundamental knowledge on the cracking behavior of thin metallic films with a quasi-brittle response. Tungsten films with 370 nm thickness are deposited by magnetron sputtering under different pressures and characterized using grazing incidence X-ray diffraction, surface curvature measurements, scanning electron microscopy and nano-indentation. Microstructure evolution, residual stresses, and tensile properties are analyzed to confirm the BCC α-phase. The fracture toughness of the tungsten films is determined on-chip using a crack arrest approach and finite element modelling to extract KIc. The analysis conducted on 90 successful test structures provides an average fracture toughness value of 3.2 ± 0.36 MPa √m. This value is typically, 50% lower than for bulk tungsten, despite the submicron thickness, while the same intergranular fracture mechanism is observed. The link with crack tip plasticity is further unravelled by extended finite element simulations relying on a cohesive zone model. Care is taken to properly resolve the mechanical behavior of the nanometer scale fracture process zone. The calibrated peak strength is equal 7.8 GPa, which is less than two times the large yield stress of the nanocrystalline film. With such a ratio, the impact of plasticity outside the fracture process zone is limited, corresponding to negligible R curve effect and extra dissipation upon crack growth in contrast with bulk specimens for which a ratio above four is expected.
Asymptotically correct non-linear analysis of multifunctional hyperelastic film-fabric laminate using Variational Asymptotic Method
Shravan Kumar Bhadoria, Ramesh Gupta Burela
doi:10.1016/j.tws.2025.113321
用变分渐近方法对多功能超弹性膜-织物层压板进行渐近正确非线性分析
The asymptotically correct dimensional reduction of a multifunctional film-fabric laminate from 3D to 2D is accomplished using the Variational Asymptotic Method (VAM). An asymptotically accurate 2D nonlinear (material and geometric nonlinear) constitutive law, that captures nonlinear effects and couplings, for a multifunctional hyperelastic film-fabric laminate has been derived analytically. The VAM divides the analysis into two parts: a 1D non-linear through-the-thickness analysis and a 2D non-linear reference surface analysis. The 1D analysis results in the derivation of asymptotically correct 3D warping functions and a 2D non-linear constitutive law. The 2D non-linear reference surface analysis employs the derived 2D nonlinear constitutive law to compute the 2D displacements and strains using 2D nonlinear FEA. The categorization of the 3D strain energy density into different orders is made feasible by introducing two inherent small parameters: 1) a geometric small parameter represented by the ratio of thickness to characteristic length (h/l<<1), and 2) a physical small parameter ensuring the largest component of 3D strain is limited to 20 percent, which is smaller than 1. The study leads to the analytical derivation of asymptotically correct 3D warping functions and a 2D non-linear constitutive law, which is then used to solve boundary value problems through the reference surface analysis. The computational efficiency of the current development stems from the dimensional reduction enabled by the VAM, while the accuracy is guaranteed by the asymptotic correctness of the derived 2D non-linear constitutive law.
New free vibration solutions of arbitrarily constrained spherical-conical shell assemblies within a state-space-based piecewise solution framework
Yueqing Shi, Zhishan Chen, Dongqi An, Jie Xu, Zhenhuan Zhou, Tinh Quoc Bui, Rui Li
doi:10.1016/j.tws.2025.113322
基于状态空间的分段解框架下任意约束球锥壳组合自由振动新解
Spherical-conical shell assemblies have attracted continuing concerns due to their important utilizations in thin-walled engineering structures. Free vibration is one of the key mechanical behaviors of such structures. However, an accurate theoretical vibration analysis is challenging from the viewpoint of mathematical solution. In this study, a novel state-space-based piecewise solution framework is established for new free vibration solutions of arbitrarily constrained spherical-conical shell assemblies. Specifically, the free vibration equations of spherical and conical shells are first formulated in the state space. The transfer matrixes are then determined with a combination of the piecewise solution strategy and the precise integration method. Implementing the joining continuity and arbitrarily constrained conditions, the final solutions are obtained. The high accuracy and wide applicability of the developed solution framework are validated by extensive comparisons of the present numerical and graphical results with those from the literature and the finite element method. Leveraging the obtained solutions, quantitative parametric analyses are conducted. It is found that: the stiffnesses of the in-plane displacements have greater effects on the frequency parameter than those of radial and rotational displacements; stronger boundary stiffnesses lead to larger fundamental circumferential half-wave numbers; an unconstrained top spherical shell leads to a lower fundamental frequency; a shorter conical shell enhances the entire dynamic failure resistance of a spherical-conical shell assembly.
Axial performance of locally corroded circular steel tubes strengthened with outer steel and sandwiched concrete jackets
Xinyu Chen, Dong Zhao, Zhenzhen Liu, Shan Li, Yiyan Lu
doi:10.1016/j.tws.2025.113330
外钢夹芯加固局部锈蚀圆钢管轴向性能研究
Hollow steel tubes (HSTs) are extensively utilized in bridge and building structures due to their excellent mechanical properties. However, prolonged service can result in localized corrosion, which compromises their load-bearing capacity. This study introduces a composite strengthening technique that employs outer steel tubes and concrete jackets (STSJC) and examines its reinforcement effect on locally corroded HST columns through experimental testing and finite element (FE) analysis. The findings indicate that this technique significantly enhances the load-bearing capacity and ductility of the specimens, with localized corrosion exerting a particularly pronounced effect on ductility. Furthermore, the FE analysis elucidates the stress concentration caused by localized corrosion, while also reinforcing the collaborative force mechanism between the inner and outer steel tubes and the concrete jackets, thereby augmenting the proportion of load supported by the concrete. Additionally, the study assesses existing load-bearing capacity calculation models, with Han's model exhibiting the highest applicability.
Behaviour of screwed connections in cold-formed steel sheets at elevated temperatures
Liang Yin, Kang Liu, Wei Chen, Jihong Ye, Meng Zhang, Zhiyuan Fang, James B.P. Lim
doi:10.1016/j.tws.2025.113317
冷弯钢板螺纹连接在高温下的性能
This study conducts experiments on Q345 cold-formed steel (CFS) screw connections at ambient and elevated temperatures; investigates the effects of the number of screws, arrangement, and loading system on the mechanical properties; and investigates the load transfer and group effects in multiple screw connections. The results reveal that below 400°C, the main failure mode of multiple screw connections is screw tension‒shear failure, whereas above 400°C, it shifts to screw tilting accompanied by hole wall pressure failure. The arrangement of the screws and cyclic tensile actions had minimal effects on the ultimate load capacity of the multiple-screw connection. Under cyclic tensile action, both the unloading stiffness and the reloading stiffness increased with increasing number of screws but decreased with increasing temperature. With fewer than five screws, the group effect on the number of screw connections was insignificant, with the deviation between P (experimental value) and P2 (the limit load of a single-screw connection multiplied by the corresponding number of screws) remaining within 10%. However, as the number of screws exceeded five, the group effect became more pronounced, leading to an increase in the deviation between P and P1. This deviation reached a relative value of 38% with twelve screws. During the loading process, the central screws initially bore the primary load before being redistributed to the end screws. The load-carrying capacity of the end screws usually first increases. Prediction models for the ultimate load and load‒displacement curves of screw connections at ambient and elevated temperatures were developed.
Prediction of fracture in metallic plates based on the phase-field approach
Hossein Ahmadian, Bahador Bahrami, Majid R. Ayatollahi, Mohammad Reza Khosravani
doi:10.1016/j.tws.2025.113323
基于相场法的金属板断裂预测
Studdying the failure of ductile materials is crucial for designing engineering structures. Ductile failure, associated with plastic deformation, makes failure analysis complex and computationally expensive. This study aims to analyze the fracture of cracked/notched ductile plates with different geometries and loading conditions (mode I, mixed mode I/II, and mode II), resulting in 41 analyses. First, it employs concepts that equate ductile materials with brittle ones. Then, these concepts are combined with the phase-field method (PFM) applied to brittle fracture to predict the fracture behavior of weakened metallic plates. Based on material properties, we couple the PFM with the equivalent material concept (EMC), the modified EMC (MEMC), and the fictitious material concept (FMC) to predict fracture load and initiation angle. The numerical results are validated with available experimental data, demonstrating that the proposed framework accurately predicts the fracture of ductile materials, with an accuracy of ±10%. Additionally, the proposed approach has demonstrated superiority over other methods for predicting the fracture load of ductile plates, including average strain energy density (ASED), mean stress (MS), and maximum tangential stress (MTS).
Experimental and theoretical investigations on reinforced concrete slabs subjected to low-velocity impact at various points by a drop hammer
Jiahe Zhong, Chunming Song, Zhongwei Zhang, Haotian Zhang, Feng Liu
doi:10.1016/j.tws.2025.113326
落锤对钢筋混凝土板各点低速冲击的试验与理论研究
Reinforced concrete slabs may experience impacts from weapons strikes or falling objects during service. The localized damage caused by initial impacts can affect the dynamic response of the structure to the subsequent effects at other locations. However, research concerning the effect of initial impact damage areas on subsequent impacts remains limited. This study first conducted experiments on the impact of a drop hammer at various points. The results showed that the initial impact damage caused by the hammer led to a decrease in the slab's bearing capacity and deformation resistance. Modal analysis was then performed on slabs with initial impact damage, confirming that the initial impact damage has a minimal effect on the low-order modes. Based on the experimental results, a various-point impact model for concrete slabs was proposed. Combined with the quasi-static contact force theory under low-velocity impact, the Lagrangian method was used to derive the theoretical method for the dynamic response of various point impacts on slabs considering the influence of the initial impact damage area. The results were compared and verified with the experimental results. The study focused on analyzing the influence of factors such as the equivalent stiffness (D1) and damage size (d1) of the initial impact damage region on the dynamic response of the structure. The results indicated that the equivalent stiffness and damage size of the localized damage area have a minor effect on the impact force but a significant effect on the displacement of the slab structure. The damage size has the greatest influence on the dynamic response of the slab, with the peak displacement increasing exponentially as the damage size increases.
ANALYSIS OF DEMOUNTABLE SHEAR CONNECTIONS IN COLD-FORMED STEEL-CONCRETE COMPOSITE BEAMS: A FINITE ELEMENT APPROACH VALIDATED WITH EXPERIMENTAL DATA
Vlaho Žuvelek, Ivan Ćurković, Ivan Lukačević, Andrea Rajić
doi:10.1016/j.tws.2025.113327
冷弯型钢-混凝土组合梁可拆卸剪切连接分析:一种经试验验证的有限元方法
The growing need for innovative solutions in the construction industry calls for continuous improvement of the value and usability of structural elements over their life cycle. The ongoing LWT-FLOOR project at the University of Zagreb, Faculty of Civil Engineering, Croatia, therefore presents an innovative solution for composite floor systems by investigating the performance of demountable shear connections within an innovative composite system comprised of a built-up cold-formed steel girder and a concrete slab. This configuration not only utilises the inherent advantages of cold-formed steel (CFS), but also highlights the efficiency of demountable shear connections compared to conventional solutions. Moreover, it emphasises compliance with sustainability principles. The configuration of analysed demountable shear connection specimens involves two different composite CFS-concrete systems: the BB and BCWB series. The BB series is comprised of the built-up sections in a back-to-back arrangement, where the webs of two C-shaped profiles are aligned and spot-welded with each other. In the BCWB series, a corrugated web is inserted between the webs of the CFS C profiles, further improving the section's stability. The behaviour of these demountable connections was investigated using a finite element approach, which was validated using experimental data and further analysed through a detailed parametric analysis. The finite element analysis revealed the complex behaviour of shear connections and the interaction of different failure modes affecting the overall resistance of the connection. Finally, the numerical results were compared with relevant standards to verify the predictions of shear resistance.
Marine steel structures have greatly suffered from corrosion and fire, posing a prominent risk on structural safety. This combined effect is not well considered in evaluating post-fire behavior of steel, resulting in unsafe performance assessment. Experiments are conducted in this study to investigate the post-fire mechanical properties of corroded Q235 steel, considering different aging periods, exposure temperatures and cooling methods. Finite element models are developed based on three-dimensional surface morphology scanning, and the degradation rules of material properties are further explored. A calculation method is proposed to fully take into account the coupled effect of corrosions, temperatures and cooling methods. Experimental results show that the post-fire behavior of corroded steel is mainly dominated by corrosion under air cooling, and is governed by both corrosion and temperature for water cooling. For the steel experiencing temperatures higher than 700°C and water cooling, it exhibits brittle fracture behavior with a reduction of 90% in elongation, and its post-fire elastic modulus can decrease by 25%. It is numerically found that the reason behind these phenomena is due to the concentration of stress and strain at the corrosion pits, leading to premature failure. The water cooling method significantly reduces ductility of steel by intensifying stress concentration at corrosion pits. The calculation method can accurately and conservatively predict the post-fire behavior of corroded steel with errors within 10%, providing a reference for fast post-fire safety assessment of existing steel structures.