International Journal of Solids and Structures最新文献

Triaxial contact stress characterization for autonomous rail rapid transit pavements using coupled vehicle-pavement dynamic simulation 基于车辆-路面耦合动力学仿真的自主轨道快速交通路面三轴接触应力表征

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-13 DOI: 10.1016/j.ijsolstr.2025.113809

Yue Xiong , Song Liu , Minghui Gong , Lei Jiang , Xing Cai , Hongchang Wang , Tao Xu , Jinxiang Hong

Autonomous Rail Rapid Transit (ART) systems subject pavements to exceptional loading conditions that represent primary mechanisms of structural deterioration. Accurate characterization of tire-pavement dynamic contact stresses is essential for structural analysis and performance prediction of ART pavement. Conventional asphalt pavement analysis relies on simplified static uniform circular load assumptions, systematically neglecting dynamic loading characteristics and non-uniform contact stress distributions. Current methodologies inadequately capture the coupled effects of vehicle dynamics and heavy-load amplification factors. This study employs integrated finite element-TruckSim co-simulation to quantify three-dimensional non-uniform contact stress fields under static, steady-state, and emergency braking scenarios for ART vehicles. The coupled modeling framework incorporates vehicle dynamics corrections to establish comprehensive tire-pavement interaction characterization. Results demonstrate that three-dimensional tire-pavement contact forces exhibit parabolic-to-trigonometric distribution patterns across the contact interface. Under static conditions, axle load exerts dominant influence over contact force magnitude, substantially exceeding tire pressure effects. Contact forces show minimal sensitivity to velocity variations during steady-state operation, while emergency braking induces significant stress amplification up to 13.0%, with heavy-load configurations substantially intensifying stress concentration phenomena. The validated triaxial contact stress functions provide enhanced predictive capabilities for heavy-duty pavement design applications, with potential applications extending to industrial pavement systems under concentrated loading regimes.

自主轨道快速交通（ART）系统将路面置于特殊的荷载条件下，这代表了结构恶化的主要机制。准确表征轮胎-路面动态接触应力对ART路面结构分析和性能预测至关重要。传统的沥青路面分析依赖于简化的静态均匀圆形荷载假设，系统地忽略了动荷载特性和非均匀接触应力分布。目前的方法不能充分捕捉车辆动力学和重载放大因素的耦合效应。本研究采用有限元与trucksim联合仿真的方法，量化了ART车辆在静态、稳态和紧急制动情况下的三维非均匀接触应力场。耦合建模框架结合车辆动力学校正，建立全面的轮胎-路面相互作用表征。结果表明，三维轮胎-路面接触力在接触界面上呈现抛物线-三角分布模式。在静态条件下，轴载荷对接触力大小的影响占主导地位，大大超过轮胎压力的影响。在稳态运行时，接触力对速度变化的敏感性最小，而紧急制动会导致应力放大高达13.0%，重载配置大大加剧了应力集中现象。经过验证的三轴接触应力函数为重型路面设计应用提供了增强的预测能力，并有可能扩展到集中载荷下的工业路面系统。

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引用次数: 0

Surface stability of a layered magnetoelastic half-space 层状磁弹性半空间的表面稳定性

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-13 DOI: 10.1016/j.ijsolstr.2025.113807

D. Shahsavari , L. Dorfmann , P. Saxena

We evaluate the conditions for surface stability of a layered magnetoelastic half-space subjected to large deformations and a magnetic field. After reviewing the fundamental measures of deformation and summarizing the magnetostatic equations in Eulerian and Lagrangian forms, we derive the constitutive relations from a total energy function dependent on the deformation gradient and the Lagrangian magnetic induction. Energy principles yield the equilibrium equations, magnetic field equations, and boundary conditions. The second variation of the energy functional provides the incremental equations and conditions for stability analysis. Surface instability is studied by linearizing increments of deformation and magnetic induction about a finitely deformed state under a magnetic field normal to the surface. Four illustrative cases are considered: (i) a layered non-magnetizable half-space with varying stiffness contrast; (ii) the critical stretch of a magnetoelastic half-space as a function of magnetic induction; (iii) surface stability of a magneto-sensitive layer atop a non-magnetizable substrate; and (iv) bifurcation conditions of a two-layers magnetoelastic solid with different stiffness ratios. Bifurcation criteria in the form of coupled critical stretch and wavenumber is determined using a bespoke optimization protocol developed using an arc-length continuation method. Graphical results are provided throughout.

我们评估了大变形和磁场作用下层状磁弹性半空间表面稳定性的条件。在回顾了变形的基本度量和总结了欧拉和拉格朗日形式的静磁方程之后，我们导出了依赖于变形梯度和拉格朗日磁感应量的总能量函数的本构关系。能量原理产生平衡方程、磁场方程和边界条件。能量泛函的第二种变化形式为稳定性分析提供了增量方程和条件。在垂直于表面的磁场作用下，通过线性化有限变形状态下的变形量和磁感应量来研究表面的不稳定性。考虑了四种说明性情况：(i)具有不同刚度对比的层状非磁化半空间；（ii）磁弹性半空间的临界拉伸作为磁感应的函数；（iii）非磁化基板上磁敏层的表面稳定性；（iv）两层不同刚度比磁弹性固体的分岔条件。采用弧长延拓法开发的定制优化协议确定了临界拉伸和波数耦合形式的分岔准则。图形结果在整个过程中提供。

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引用次数: 0

Modeling of sorption-induced deformations of porous materials due to surface adsorption, capillary effects, and cavitation 由于表面吸附、毛细效应和空化而引起的多孔材料吸附变形的建模

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-11 DOI: 10.1016/j.ijsolstr.2025.113808

Jingyi Leng, Patrick Dangla, Matthieu Vandamme

A clear understanding of the physical mechanisms behind the sorption-induced deformation of porous materials is essential for a variety of applications, e.g., natural gas production from and CO₂ sequestration into coalbed and shale formations. To describe the deformation of partially saturated porous materials with a wide pore size distribution, El Tabbal et al. (2020) proposed a poromechanical model derived from thermodynamic considerations. In our work, we propose a derivation of El Tabbal’s model in a Lagrangian form and improve it by 1) considering the specificity of the fluid adsorption on the pore surface and 2) modeling the strain variation during the adsorbate cavitation. We validate the model by applying it to sorption and strain isotherms measured by various authors with a variety of adsorbate/adsorbent couples. We then study the impact of several uncertainties on the shape of the strain isotherm, namely the cavitation pressure, the experimentally defined “dry state”, and the calculated BET-specific surface area. The model is capable of predicting the shape of strain isotherms without any fitting parameters.

对多孔材料吸附变形背后的物理机制的清晰理解对于各种应用至关重要，例如煤层气和页岩地层的天然气开采和二氧化碳封存。El Tabbal et al.（2020）为了描述具有宽孔径分布的部分饱和多孔材料的变形，提出了一种基于热力学考虑的孔隙力学模型。在我们的工作中，我们提出了El Tabbal模型的拉格朗日形式的推导，并通过1)考虑流体在孔表面吸附的特殊性和2)模拟吸附质空化过程中的应变变化来改进它。我们通过将其应用于不同作者用各种吸附物/吸附剂对测量的吸附和应变等温线来验证该模型。然后，我们研究了几个不确定因素对应变等温线形状的影响，即空化压力、实验定义的“干燥状态”和计算的bet比表面积。该模型能够在不需要任何拟合参数的情况下预测应变等温线的形状。

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引用次数: 0

A energy-based coupling approach of peridynamic and classical continuum mechanics for FGM brittle fractures 基于能量的FGM脆性断裂周动力与经典连续介质力学耦合方法

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-11 DOI: 10.1016/j.ijsolstr.2025.113802

Shaoqi Zheng , Yanfu Chen , Jiwei Zhang , Jieqiong Zhang , Zihao Yang

This study proposes a coupling method that integrates local and nonlocal continuum mechanics to predict brittle fractures in functionally graded materials (FGMs). The main advantage of this approach is its ability to combine the strengths of classical continuum mechanics (CCM) and bond-based peridynamics (BPD), enabling accurate and efficient fracture simulations in FGMs. By establishing a pointwise equivalence of deformation energy density, an equivalent continuum mechanics model is derived from the bond-based peridynamic framework for FGMs and the relationship between the equivalent stiffness tensors and the micromodulus of the BPD model is formulated. These two models are then coupled into a unified system of equations, with a transition region introduced to ensure a smooth connection between them. The nonlocal BPD model is applied specifically to the fracture region, while the local CCM is employed in areas undergoing continuous deformation, thereby significantly reducing the computational cost of FGM fracture simulations. The convergence of the coupling model to CCM is demonstrated through rigorous mathematical analysis. Finally, the accuracy and efficiency of the coupling method are verified through two- and three-dimensional numerical examples.

本研究提出一种结合局部和非局部连续介质力学的耦合方法来预测功能梯度材料（fgm）的脆性断裂。该方法的主要优点是能够结合经典连续介质力学（CCM）和基于键合的周动力学（BPD）的优势，从而实现精确、高效的fgm断裂模拟。通过建立变形能密度的点向等效，在基于键合的环动力框架下建立了等效连续介质力学模型，并推导了等效刚度张量与微模量之间的关系。然后将这两个模型耦合成一个统一的方程组，并引入过渡区域以确保它们之间的平滑连接。非局部BPD模型专门用于断裂区域，局部CCM模型用于连续变形区域，从而大大降低了FGM断裂模拟的计算成本。通过严格的数学分析，证明了耦合模型对CCM的收敛性。最后，通过二维和三维数值算例验证了该耦合方法的准确性和有效性。

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引用次数: 0

Equilibrium theory and matrix analysis of tensegrity-beam structures 张拉整体梁结构的平衡理论与矩阵分析

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-06 DOI: 10.1016/j.ijsolstr.2025.113805

Shuo Ma , Doris R. Swai , Jiaxing Tang , Yongcan Dong , Xingfei Yuan

The integration of beam elements into tensegrity structures enhances the mechanical behavior while reducing the complexity of nodal connections in classical tensegrities. This study introduces the equilibrium theory of tensegrity-beam structures and investigates the prestress and mechanism characteristics based on the matrix decomposition of the equilibrium and compatibility matrices. The notations of the tensegrity-beam structures are given to describe the position and connection of all members. The stiffness matrix of a beam element is decomposed to obtain the self-stress modes and mechanism modes of a beam element. The equilibrium equations are derived from the principle of stationary total potential energy, and the equilibrium matrix is obtained by combining the linearized equilibrium equation and member force constraints. The compatibility matrix is derived from the kinematics relationship and the mechanism constraints. The prestress modes and mechanism modes are obtained based on the singular value decomposition of the equilibrium and compatibility matrix. The equilibrium theory can be simply extended to three dimensional structures. Numerical validation is conducted through three examples, comparing the proposed method’s results with both analytical solutions and finite element simulations. The comparative analysis confirms the method’s accuracy and efficiency.

将梁单元集成到张拉整体结构中，提高了经典张拉整体结构的力学性能，同时降低了节点连接的复杂性。本文介绍了张拉整体梁结构的平衡理论，并基于平衡矩阵和相容性矩阵的矩阵分解，研究了张拉整体梁结构的预应力和受力机理特征。给出了张拉整体梁结构的符号来描述所有构件的位置和连接。对梁单元的刚度矩阵进行分解，得到梁单元的自应力模态和机构模态。根据稳态总势能原理推导出平衡方程，将线性化的平衡方程与构件受力约束相结合得到平衡矩阵。由运动学关系和机构约束推导出相容矩阵。基于平衡矩阵和相容性矩阵的奇异值分解，得到了预应力模态和机制模态。平衡理论可以简单地推广到三维结构中。通过三个算例进行了数值验证，将所提方法的结果与解析解和有限元模拟结果进行了比较。对比分析证实了该方法的准确性和有效性。

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引用次数: 0

Experimental evaluation of a hyperelastic-viscoplastic constitutive model for packaging adhesives: Comparison with deep learning methods 包装胶粘剂超弹粘塑性本构模型的实验评价：与深度学习方法的比较

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-05 DOI: 10.1016/j.ijsolstr.2025.113804

Siyu He , Feixiang Tang , Li Yang , Fanliang Li , Xiaoping Wang , Sheng Liu

Currently, most constitutive models for silicone adhesives consider their viscoelastic and nonlinear characteristics, while often neglecting the potential influence of plasticity on their mechanical properties. In this study, back stresses in the viscoplastoc model are used to characterize the plastic behavior of silicone adhesives. A temperature-dependent hyperelastic-viscoplastic multi-component model is proposed to investigate the mechanical behavior of silicone adhesives at different temperatures. This model refers to a constitutive model developed to characterize the complex mechanical behavior of materials, particularly those exhibiting hyperelastic-viscoplastic properties. Meanwhile, a deep learning model is employed to learn the patterns of mechanical behavior changes across different temperatures. The deep learning model and the hyperelastic-viscoplastic model are then used to predict results at other temperatures and the predictions from both models show good agreement. Additionally, Abaqus simulations of the adhesive’s service environment are conducted and the simulation results are consistent with theoretical predictions. This model proposed in this study may serve as a new constitutive model for adhesives.

目前，大多数有机硅胶粘剂的本构模型考虑了其粘弹性和非线性特性，而往往忽略了塑性对其力学性能的潜在影响。在本研究中，背应力在粘塑性模型中被用来表征硅胶胶粘剂的塑性行为。提出了一种温度相关的超弹粘塑性多组分模型，研究了硅酮胶粘剂在不同温度下的力学行为。该模型是指一种本构模型，用于描述材料的复杂力学行为，特别是那些表现出超弹粘塑性特性的材料。同时，采用深度学习模型学习不同温度下的力学行为变化模式。然后使用深度学习模型和超弹粘塑性模型来预测其他温度下的结果，两个模型的预测结果显示出很好的一致性。此外，对胶粘剂的使用环境进行了Abaqus仿真，仿真结果与理论预测一致。该模型可作为胶粘剂的一种新的本构模型。

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引用次数: 0

Finite-deflection peeling of elastic films with adhesive heterogeneity 粘接非均质弹性膜的有限挠曲剥落

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-05 DOI: 10.1016/j.ijsolstr.2025.113803

Xuebo Yuan

Film–substrate systems are ubiquitous in biological adhesion, multi-chip packaging, flexible electronics, and nanomaterials, with peeling behavior directly influencing structural stability and functionality. However, the peeling mechanics of films with adhesive heterogeneity are not yet fully understood. In this work, the peeling behavior of elastic films with spatially varying adhesion under a vertical peeling force, bonded to a rigid substrate, is investigated. Based on the principle of minimum potential energy, a large-deformation mechanics model for peeling heterogeneous films is developed within finite deflection and validated using molecular dynamics simulations. The results show that adhesive heterogeneity can markedly influence the evolution of the peeling force. When the peeling front traverses segments with different adhesion toughness, the resulting increase or decrease in peeling force depends on the segment adhesion, segment length, and overall geometrical proportions. Periodically heterogeneous films exhibit oscillatory peeling forces, with amplitudes regulated by the period length and adhesive distribution, which can be approximated by a homogeneous film with equivalent adhesion toughness. The variations in peeling force primarily result from the redistribution of bending energy within the film and the work required to overcome interfacial interactions. The findings provide a theoretical foundation for tuning the peeling behavior of film–substrate systems.

薄膜-衬底系统在生物粘附、多芯片封装、柔性电子和纳米材料中无处不在，剥离行为直接影响其结构稳定性和功能。然而，具有黏合剂非均质性的薄膜的剥离机理尚未完全了解。在这项工作中，研究了具有空间变化的粘附力的弹性薄膜在垂直剥离力作用下与刚性衬底结合的剥离行为。基于最小势能原理，建立了非均质薄膜在有限挠度下剥落的大变形力学模型，并通过分子动力学模拟进行了验证。结果表明，胶粘剂的非均质性对剥离力的演化有显著影响。当剥离前端穿过不同粘附韧性的线段时，剥离力的增加或减少取决于线段的粘附力、线段长度和整体几何比例。周期性非均质膜表现出振荡剥离力，其振幅受周期长度和胶粘剂分布的调节，可以近似为具有等效粘附韧性的均匀膜。剥离力的变化主要是由于薄膜内弯曲能量的重新分配和克服界面相互作用所需的功。研究结果为调整薄膜-衬底体系的剥离行为提供了理论基础。

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引用次数: 0

A high-order 2D-plate macro-element model for the analysis of bonded joints 基于高阶二维板宏观单元模型的粘结节点分析

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-04 DOI: 10.1016/j.ijsolstr.2025.113787

Marcello Calì , Sébastien Schwartz , Frédéric Lachaud , Sofia Teixeira De Freitas , Éric Paroissien

Adhesive bonding has emerged as an attractive solution for the joining of lightweight structures, yet accurate stress analysis remains computationally demanding when relying on Finite Elements (FE). This paper introduces a novel plate Macro-Element (ME) formulation that extends previous beam-type approaches to enable three-dimensional stress analysis of bonded joints. High-order polynomial expansions are employed to describe the displacement field of the adherends, while the adhesive is modeled as an elastic foundation. Governing equations are derived using a variational principle and integrated within a standard FE framework. Through the derivation of a special stiffness matrix, a ME can simulate an entire overlap with just one element. The proposed methodology is validated against FE results for a single-lap bonded joint with a thin adhesive layer. The influence of different higher-order displacement assumptions and constitutive models is investigated. The results show that their inclusion in the formulation improves the solution accuracy.

粘接已成为轻型结构连接的一种有吸引力的解决方案，然而，当依赖于有限元（FE）时，精确的应力分析仍然需要计算。本文介绍了一种新的板宏观单元（ME）公式，该公式扩展了以前的梁式方法，以实现粘接节点的三维应力分析。采用高次多项式展开来描述黏合剂的位移场，将黏合剂建模为弹性基础。利用变分原理推导了控制方程，并将其集成到标准有限元框架中。通过推导一个特殊的刚度矩阵，有限元可以模拟一个单元的整个重叠。针对具有薄粘接层的单搭接接头的有限元结果验证了所提出的方法。研究了不同高阶位移假设和本构模型的影响。结果表明，它们的加入提高了溶液的精度。

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引用次数: 0

Microscale strain field predictions from grain microstructure of polycrystalline metals using fully convolutional networks 利用全卷积网络预测多晶金属晶粒微观结构的微尺度应变场

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-03 DOI: 10.1016/j.ijsolstr.2025.113801

William Noh , Renato Bichara Vieira , John Lambros , Huck Beng Chew

Under deformation, the heterogeneous microstructure of polycrystalline metals generates complex strain variations at the microscale, which ultimately control failure mechanisms. Here, we train a fully convolutional network (FCN) on numerical datasets generated by crystal plasticity finite element simulations (CPFEMs) to predict the two-dimensional (2D) patterns of strain field variations (output) from grain orientation information (input) at the microscale, across a large subset of grain morphologies. Previously applied FCN architectures have correctly predicted the general patterns of strain distributions, but with performance that saturates quickly with increasing size of the training dataset. We overcome this limitation by augmenting the traditional convolution architecture with modern architectural elements such as skip connections, depth-wise separable convolutions, residual functions, and inverted bottleneck convolution modules, reducing the number of trainable parameters and floating-point operations by 88% and 77%, respectively. Our FCN architecture, trained on predominantly equiaxed grains with a fixed (lognormal) distribution of grain sizes under a small subset of macroscopic strain states, is capable of interpolation and limited extrapolation to other strain states. Its ability to predict the microscale strain patterns across a wide range of grain sizes, grain distributions, and grain shapes without retraining, further suggests its generalizability to different grain architectures. Finally, we discuss the utility of transfer learning to reduce the amount of training data required to adapt the FCN to materials with different stress–strain response.

在变形作用下，多晶金属的异质微观结构在微观尺度上产生复杂的应变变化，最终控制失效机制。在这里，我们在晶体塑性有限元模拟（cpfem）生成的数值数据集上训练了一个全卷积网络（FCN），以预测微观尺度下晶粒取向信息（输入）的二维（2D）应变场变化（输出）模式，跨越大量晶粒形态子集。以前应用的FCN架构已经正确地预测了应变分布的一般模式，但随着训练数据集规模的增加，性能会迅速饱和。我们通过使用现代架构元素（如跳过连接、深度可分离卷积、残差函数和反向瓶颈卷积模块）来增强传统卷积架构，从而克服了这一限制，将可训练参数和浮点运算的数量分别减少了88%和77%。我们的FCN架构主要训练在宏观应变状态的一小部分下具有固定（对数正态）晶粒尺寸分布的等轴晶粒，能够插值和有限的外推到其他应变状态。它能够在不需要再训练的情况下预测大范围晶粒尺寸、晶粒分布和晶粒形状的微尺度应变模式，进一步表明它可以推广到不同的晶粒结构。最后，我们讨论了迁移学习的效用，以减少使FCN适应具有不同应力-应变响应的材料所需的训练数据量。

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引用次数: 0

Buckling analysis of a confined chiral rod and its application to DNA packaging 受限手性棒的屈曲分析及其在DNA包装中的应用

IF 3.8 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2025-12-02 DOI: 10.1016/j.ijsolstr.2025.113797

Xiaofei Wang , Huichuan Zhao , Ryuichi Tarumi , Takayuki Kitamura , Jianshan Wang

Chiral biological filaments, such as DNA and chromatin fibers, are commonly found in crowded environments. The buckling of these filaments plays a crucial role in determining the morphologies of their packaging structures. This study examines the buckling of a chiral rod confined within a cylindrical domain through Kirchhoff’s dynamic analogy. Using the chiral rod model incorporating bend-twist coupling deformations, we derive the fixed-point paths for both constrained and unconstrained cases, and identify the buckling configurations corresponding to both helical and localized solutions, along with the constraining forces. We quantitatively analyze the effects of chiral microstructures and load parameters on the buckling configurations and corresponding constraining forces. Furthermore, we apply the developed model of confined chiral rod to DNA packaging. The helical configuration of DNA and its load-package ratio are derived and show good agreement with experimental data. Our study found that the bend-twist coupling deformation can effectively soften the rod and thereby induce tighter helical configurations. Moreover, clearly different to the non-chiral rod, the preference to the twisting with specific handedness of chiral rod causes a shift in the saddle point path and makes the rod form helical structures at both ends of the configuration corresponding to localized solution. The material chirality, to a large extent, determines the inner surface of cylinder whether attracts or supports the chiral rod. This study not only provides new insights into the buckling of chiral biological filaments but also contributes to the understanding of the formation of complex packaging structures.

手性生物细丝，如DNA和染色质纤维，通常在拥挤的环境中发现。这些长丝的屈曲在决定其包装结构的形态方面起着至关重要的作用。本研究通过基尔霍夫的动力学类比研究了限制在圆柱形域内的手性棒的屈曲。利用包含弯扭耦合变形的手性杆模型，导出了约束和无约束情况下的不动点路径，并确定了螺旋解和局部解对应的屈曲构型以及约束力。定量分析了手性微观结构和载荷参数对屈曲构型和相应的约束力的影响。此外，我们将开发的受限手性棒模型应用于DNA包装。推导了DNA的螺旋结构及其载包比，结果与实验数据吻合较好。我们的研究发现，弯扭耦合变形可以有效地软化杆，从而诱导更紧密的螺旋结构。此外，与非手性杆明显不同的是，手性杆偏爱具有特定手性的扭转，导致鞍点路径发生移位，使杆在构型两端形成与定域解相对应的螺旋结构。材料的手性在很大程度上决定了筒体内表面是否吸引或支撑手性杆。这项研究不仅为手性生物丝的屈曲提供了新的见解，而且有助于理解复杂包装结构的形成。

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引用次数: 0