
今日更新:International Journal of Solids and Structures 2 篇,Journal of the Mechanics and Physics of Solids 3 篇,Thin-Walled Structures 3 篇
Effective elastic moduli and failure mechanisms of a random assembly of thin walled glass microbubbles
Antonios E. Giannakopoulos, Athanasios Zisis, Anna D. Zervaki, Christos D. Dimopoulos, Efstathios Platypodis, Robert Eberwein
doi:10.1016/j.ijsolstr.2025.113528
薄壁玻璃微泡随机组合的有效弹性模量及破坏机制
In this work a methodology is presented to estimate the elastic properties and failure mechanisms of an assembly of random, brittle microbubbles. The approach is based on the mechanics of frictionless micro-contact between hollow spherical shells by employing relations from classical shell theory and verified by two dimensional axisymmetric Finite Elements. The estimated values are in agreement with available experimental values. Moreover, a granular type analytical homogenization model provides an isotropic elastic constitutive law to be used for the macroscopic deformation of an assembly of glass micro-bubbles when it is compressed by external loads. In addition, approximate estimates are also proposed for two important micro-failure mechanisms of such assemblies that relate either to the splitting or to the buckling of a brittle spherical shell, prior its complete crushing. The results are novel and are expected to enhance the application of glass microbubbles directly in acute thermal insulation problems such as liquid hydrogen storage.
在这项工作中,提出了一种方法来估计随机脆性微泡组合的弹性特性和破坏机制。该方法基于空心球壳间无摩擦微接触力学,采用经典壳理论的关系式,并用二维轴对称有限元进行了验证。估计值与现有的实验值一致。此外,颗粒型分析均质模型提供了一个各向同性的弹性本构律,用于玻璃微泡组合在受外载荷压缩时的宏观变形。此外,还提出了两种重要的微破坏机制的近似估计,这两种机制与脆性球壳在完全破碎之前的分裂或屈曲有关。这些结果是新颖的,有望加强玻璃微泡在诸如液氢储存等急性绝热问题中的直接应用。
Peeling of elastic thin films from cylindrical substrates
Qingning Yang, Hao Long, Yanwei Liu, Yueguang Wei
doi:10.1016/j.ijsolstr.2025.113529
从圆柱形衬底上剥离弹性薄膜
Peeling thin films from flat substrates is a significant testing method to investigate the behavior and characteristics of interfaces. While curved substrates are also common and widely utilized in engineering applications, the research of film peeling from curved substrates has not yet been fully explored and discussed. To clarify the behavior and characteristics of interfaces in film peeling on curved substrates, new models and test methods of peeling are needed. Herein, we propose a theoretical peeling model to describe the peeling of elastic thin films from cylindrical substrates based on Dugdale’s law and acquire theoretical solutions by moment equilibrium combined with elastica deformation description. These theoretical results can predict the load–displacement (F-Δ) curves and the maximum peeling force (F max) and match well with finite element method results. We reveal the whole peeling process of thin films along the cylindrical substrates and find that F-Δ curves keep changing due to the substrate radius. A smaller substrate radius yields a more obvious change of peeling force. The substrate radius hardly affects F max, and an increase in the initial peeling position angle increases F max. The present study can provide guidance for peeling tests involving curved substrates in practical engineering applications.
从平面基底上剥离薄膜是研究界面行为和特性的重要测试方法。虽然曲面基板在工程应用中也很常见并得到了广泛的应用,但对曲面基板薄膜剥离的研究还没有得到充分的探索和讨论。为了阐明曲面基底上薄膜剥离过程中界面的行为和特征,需要建立新的剥离模型和测试方法。本文提出了基于Dugdale定律的弹性薄膜脱皮理论模型,并结合力矩平衡和弹性变形描述得到了理论解。这些理论结果可以预测载荷-位移(F-Δ)曲线和最大剥离力(F ),与有限元计算结果吻合较好。我们揭示了薄膜沿圆柱形衬底剥离的整个过程,发现F-Δ曲线随着衬底半径的变化而不断变化。基底半径越小,剥离力变化越明显。基底半径对F几乎没有影响 初始剥离位置角的增加使F max。本研究可为实际工程应用中涉及曲面基板的剥离试验提供指导。
Finite-PINN: A physics-informed neural network with finite geometric encoding for solid mechanics
Haolin Li, Yuyang Miao, Zahra Sharif Khodaei, M.H. Aliabadi
doi:10.1016/j.jmps.2025.106222
有限- pinn:具有有限几何编码的物理信息神经网络,用于固体力学
PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems. These challenges become evident when comparing the limitations of PINN with the well-established numerical methods commonly used in solid mechanics, such as the finite element method (FEM). Specifically: a) PINN models generate solutions over an infinite domain, which conflicts with the finite boundaries typical of most solid structures; and b) the solution space utilised by PINN is Euclidean, which is inadequate for addressing the complex geometries often present in solid structures. This work presents a PINN architecture for general solid mechanics problems, referred to as the Finite-PINN model. The model is designed to effectively tackle two key challenges, while retaining as much of the original PINN framework as possible. To this end, the Finite-PINN incorporates finite geometric encoding into the neural network inputs, thereby transforming the solution space from a conventional Euclidean space into a hybrid Euclidean–topological space. The model is comprehensively trained using both strong-form and weak-form loss formulations, enabling its application to a wide range of forward and inverse problems in solid mechanics For forward problems, the Finite-PINN model efficiently approximates solutions to solid mechanics problems when the geometric information of a given structure has been preprocessed. For inverse problems, it effectively reconstructs full-field solutions from very sparse observations by embedding both physical laws and geometric information within its architecture.
PINN模型已经证明了解决流体PDE问题的能力,并且它们在固体力学中的潜力正在开始显现。本研究确定了使用PINN解决一般固体力学问题时面临的两个关键挑战。当将PINN的局限性与固体力学中常用的成熟的数值方法(如有限元法)进行比较时,这些挑战变得明显。具体而言:a) PINN模型在无限域中生成解,这与大多数实体结构的有限边界相冲突;b) PINN使用的解空间是欧几里得的,这对于处理实体结构中经常出现的复杂几何形状是不够的。这项工作提出了一般固体力学问题的PINN架构,称为有限PINN模型。该模型旨在有效地解决两个关键挑战,同时尽可能多地保留原始的PINN框架。为此,finite - pinn将有限几何编码纳入神经网络输入,从而将解空间从传统的欧几里得空间转换为混合欧几里得-拓扑空间。该模型使用强形式和弱形式损失公式进行全面训练,使其能够广泛应用于固体力学中的正解和逆问题。对于正解问题,当给定结构的几何信息经过预处理时,Finite-PINN模型可以有效地逼近固体力学问题的解。对于反问题,它通过在其体系结构中嵌入物理定律和几何信息,有效地从非常稀疏的观测中重建全场解。
Post-buckling of fiber-reinforced soft tissues
Yang Liu, Rui-Cheng Liu, Wanyu Ma, Alain Goriely
doi:10.1016/j.jmps.2025.106220
纤维增强软组织的后屈曲
Fiber-reinforcement is a universal feature of many biological tissues. It involves the interplay between fiber stiffness, fiber orientation, and the elastic properties of the matrix, influencing pattern formation and evolution in layered tissues. Here, we investigate the deformation of a compressed film bonded to a half-space, where either the film or the substrate exhibits anisotropy. Within the framework of finite elasticity, we formulate nonlinear incremental equations, enabling linear and weakly nonlinear analyses. These analyses yield exact bifurcation conditions and an amplitude equation for surface wrinkling. In particular, for a simple fiber-reinforced model, we show that the bifurcation can be supercritical or subcritical depending on the ratio between the substrate and the film moduli. These findings underscore the pivotal role of fiber-reinforcement in shaping pattern formation in anisotropic tissues and provide insights into the morphological evolution of biological tissues.
纤维增强是许多生物组织的普遍特征。它涉及纤维刚度、纤维取向和基体弹性特性之间的相互作用,影响层状组织中图案的形成和演变。在这里,我们研究了与半空间结合的压缩薄膜的变形,其中薄膜或衬底都表现出各向异性。在有限弹性的框架内,我们制定了非线性增量方程,使线性和弱非线性分析成为可能。这些分析得到了精确的分岔条件和表面起皱的振幅方程。特别地,对于一个简单的纤维增强模型,我们表明分叉可以是超临界的或亚临界的,这取决于衬底和薄膜模量之间的比例。这些发现强调了纤维增强在各向异性组织中形成图案的关键作用,并为生物组织的形态进化提供了见解。
Local resonance of mechanosensitive channels
Bing Qi, Shujuan Lin, Yaohua Guo, Linglin Feng, Lijun Su, Yang Liu, Alain Goriely, Tian Jian Lu, Shaobao Liu
doi:10.1016/j.jmps.2025.106249
机械敏感通道的局部共振
Mechanosensitive channels are crucial biological structures that respond to mechanical stimuli by altering cellular processes. Recent studies suggest that these channels can be activated by ultrasound at specific frequencies, yet the underlying physical mechanisms remain unclear. Membrane tension is known to play a pivotal role in the regulation of mechanosensitive channels. Here, we investigate whether ultrasound can modulate membrane tension to facilitate channel activation. To do so, we develop a theoretical model based on the local resonance of mechanosensitive channels embedded in lipid membranes when subjected to ultrasonic excitation. Our results reveal that ultrasound can induce localized membrane resonance, leading to increased membrane tension in the vicinity of the channel. This tension increase, when occurring at specific resonant frequencies, is sufficient to activate mechanosensitive channels. Furthermore, we establish the effective frequency range for channel activation and examine the influence of key parameters such as ultrasound intensity, channel molecular mass, and damping effects on this range. Our findings provide a mechanistic explanation for ultrasound-induced activation of mechanosensitive channels, offering valuable insights for applications in neuromodulation, targeted therapy, and mechanomedicine.
机械敏感通道是通过改变细胞过程来响应机械刺 激的重要生物结构。最近的研究表明,这些通道可以通过特定频率的超声波激活,但潜在的物理机制尚不清楚。众所周知,膜张力在机械敏感通道的调节中起着关键作用。在这里,我们研究超声波是否可以调节膜张力以促进通道激活。为此,我们建立了一个理论模型,该模型基于超声激励下嵌入脂质膜的机械敏感通道的局部共振。我们的研究结果表明,超声波可以诱导局部膜共振,导致通道附近的膜张力增加。这种张力增加,当发生在特定的共振频率时,足以激活机械敏感通道。此外,我们建立了通道激活的有效频率范围,并研究了超声强度、通道分子质量和阻尼效应等关键参数对该范围的影响。我们的发现为超声诱导机械敏感通道的激活提供了机制解释,为神经调节、靶向治疗和机械医学的应用提供了有价值的见解。
Compressive capacity of post-fire 7075-T6 high-strength aluminum alloy tubes: Testing, modeling and design
Yao Sun, Ganghao Han
doi:10.1016/j.tws.2025.113592
7075-T6高强铝合金管火灾后抗压能力试验、建模与设计
This paper presents experimental and numerical investigations on the residual compressive capacity of post-fire high-strength aluminum alloy tubes. A testing program was first carried out, including heating tests and stub column tests on eighteen rectangular and square hollow section specimens. The post-fire test data obtained were discussed and used in a numerical modeling program, where finite-element models were developed and validated. The validated finite-element models were then employed to perform systematic parametric studies, to generate more post-fire compressive capacity data on high-strength aluminum alloy tubes. Based on the experimentally and numerically obtained post-fire performance data, a design analysis was performed, in which the suitability of existing international design standards for the post-fire design of high-strength aluminum alloy tubes under compression was evaluated. The results reveal that the design standards generally yield conservative post-fire capacity prediction, particularly for those after exposure to elevated temperatures ranging from 300 °C to 500 °C. Then, the Continuous Strength Method (CSM) was evaluated, which was found to offer greatly improved design accuracy over the existing international design standards, owing to rational consideration of post-fire material strain hardening.
本文对火灾后高强铝合金管的残余抗压能力进行了试验和数值研究。首先对18个矩形和方形空心截面试件进行了加热试验和短柱试验。对得到的火灾后试验数据进行了讨论,并将其用于数值模拟程序,在该程序中开发并验证了有限元模型。然后利用验证的有限元模型进行系统的参数研究,以生成更多的高强度铝合金管火灾后的压缩能力数据。基于实验和数值计算得到的火灾后性能数据,进行了设计分析,评价了现行国际设计标准对高强铝合金管火灾后压缩设计的适用性。结果表明,设计标准通常只能保守地预测火灾后的容量,特别是对于暴露于300°C至500°C高温后的容量。然后,对连续强度法(CSM)进行了评估,发现由于合理考虑了火灾后材料的应变硬化,CSM的设计精度大大提高了现有的国际设计标准。
Application of the transformed differential quadrature method to the free vibration analysis of photoelectrically loaded perovskite annular plates with an eccentric hole
Liheng Zhang, Huaibin Miao
doi:10.1016/j.tws.2025.113593
变换微分正交法在偏心孔光电负载钙钛矿环形板自由振动分析中的应用
This paper presents an approach to the free vibration analysis of perovskite annular plates with eccentric holes, considering the effects of photoelectrically induced forces. The structure, composed of perovskite materials exhibiting both photostrictive and electrostrictive properties, is analyzed using the First Order Shear Deformation Theory (FSDT) and a recently developed opto-electro-thermo-elastic constitutive model. Due to the complex geometry of the annular plate with an eccentric hole, the conventional Generalized Differential Quadrature (GDQ) method is unsuitable for direct application. To overcome this challenge, a transformed differential quadrature (TDQ) method is employed, leveraging conformal mapping techniques to calculate the transformed weighting coefficients in the physical domain, allowing for the direct discretization of partial differential equations in the base domain. The study considers various boundary conditions and includes the photo-induced temperature rise to comprehensively analyze the interaction between photostrictive and electrostrictive behaviors. After validating the employed method against experimental, analytical, and numerical results, the influence of the hole's eccentricity on the vibration response is analyzed, revealing significant variations in buckling and free vibration response compared to traditional geometries. This geometry is of particular interest in aerospace, mechanical, and civil engineering applications, where eccentric holes are used to achieve weight reduction, structural tuning, or specific load distributions without sacrificing integrity. This study is novel in its integration of a recently developed opto-electro-thermo-elastic constitutive model with the transformed differential quadrature (TDQ) method, enabling the accurate analysis of perovskite plates with non-trivial geometries under coupled multi-physics excitations. The proposed approach is, to the best of the authors’ knowledge, the first to address the free vibration of photoelectrically loaded annular plates with eccentric holes using this combination of physical modeling and numerical technique.
本文提出了一种考虑光电诱导力影响的偏心孔钙钛矿环形板的自由振动分析方法。采用一阶剪切变形理论(FSDT)和最新开发的光电热弹性本构模型对具有光致伸缩和电致伸缩特性的钙钛矿材料组成的结构进行了分析。由于偏心孔环形板的几何形状复杂,传统的广义微分正交法(GDQ)不适合直接应用。为了克服这一挑战,采用了变换微分正交(TDQ)方法,利用保角映射技术计算物理域中的变换加权系数,从而允许在基域中对偏微分方程进行直接离散化。该研究考虑了各种边界条件,并考虑了光致温升,全面分析了光致伸缩和电致伸缩行为之间的相互作用。通过实验、分析和数值结果验证了所采用的方法,分析了孔偏心对振动响应的影响,揭示了与传统几何形状相比,屈曲和自由振动响应的显著变化。这种几何形状在航空航天、机械和土木工程应用中 特别受欢迎,在这些应用中,偏心孔用于减轻重量、调整结构或在不牺牲完整性的情况下实现特定负载分布。这项研究的新颖之处在于它将最近开发的光电-热-弹性本构模型与转换微分正交(TDQ)方法相结合,使钙钛矿板在耦合多物理场激励下具有非寻常几何形状的精确分析成为可能。据作者所知,该方法是第一个使用物理建模和数值技术相结合的方法来解决带有偏心孔的光电负载环形板的自由振动问题。
Subwavelength metasurfaces for quasi-omnidirectional broadband sound absorption at low frequencies
Mengtao Liang, Huagen Wu, Martin Ibarias, José Sánchez-Dehesa
doi:10.1016/j.tws.2025.113591
低频准全向宽带声吸收的亚波长超表面
Subwavelength metasurfaces for quasi-omnidirectional broadband high absorption are designed to attenuate the low-frequency noise of around 100 Hz produced in industrial environments. They are made of resonant structures denominated as serial Helmholtz resonator (SHR) consisting of an inserted-neck resonator embedded into the cavity of an extended-neck Helmholtz resonator (EHR). The transfer matrix method and equivalent medium theory are combined to develop a quasi-analytical model to investigate the absorption mechanisms and characteristics of the SHR. The theoretical analysis and simulations show that the metasurface containing a single SHR exhibits three peaks with almost perfect absorption. The quality factor in the one-third octave band (89-112 Hz) centered at 100 Hz is above 80% for the incidence angle range of 0∼80°, indicating the quasi-omnidirectional broadband high absorption. Experiments under normal incidence have supported the predicted performance. The subwavelength thickness of the SHR optimized by sequential quadratic programming algorithm is 11.1 cm; 1/31 of the wavelength at 100 Hz. Using the impedance coupling effect and optimization algorithm, quasi-omnidirectional broadband high absorption of another metasurface consisting of three SHRs can be realized within two consecutive one-octave bands (100-400 Hz). The quality factor reaches 100% when the incidence angle is between 57° and 67°. The subwavelength thickness of the metasurface is 18.2 cm, which is 1/19 of the wavelength at 100 Hz. Compared with other sound-absorbing structures, the proposed metasurfaces have subwavelength thickness, quasi-omnidirectional broadband high absorption, and easy processing, which provide promising solutions for low-frequency noise attenuation.
准全向宽带高吸收亚波长超表面设计用于衰减工业环境中产生的100 Hz左右的低频噪声。它们是由串联亥姆霍兹谐振器(SHR)组成的谐振结构,由一个插入颈谐振器嵌入到一个伸颈亥姆霍兹谐振器(EHR)的腔内组成。将传递矩阵法和等效介质理论相结合,建立了一种准解析模型,研究了SHR的吸收机理和特性。理论分析和仿真结果表明,含有单一SHR的超表面具有三个峰,吸收几乎完全。在入射角0 ~ 80°范围内,以100 Hz为中心的1 / 3倍频带(89 ~ 112 Hz)的质量因子大于80%,表明准全向宽带高吸收。正常入射下的实验结果支持了预测的性能。顺序二次规划优化后的SHR亚波长厚度为11.1 cm;100赫兹时波长的1/31。利用阻抗耦合效应和优化算法,可以在两个连续的一倍频带(100-400 Hz)内实现对由三个SHRs组成的另一个超表面的准全向宽带高吸收。入射角在57°~ 67°范围内,质量因子达到100%。超表面的亚波长厚度为18.2 cm,为100 Hz时波长的1/19。与其他吸声结构相比,所提出的超表面具有亚波长厚度、准全向宽带高吸收、易于加工等特点,为低频降噪提供了很好的解决方案。