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【新文速递】2024年10月1日固体力学SCI期刊最新文章

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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 2 篇

International Journal of Solids and Structures

Effect of path-dependent plasticity on springback in reverse bending and its application to roll forming

Kyucheol Jeong, Keun-ho Kim, Shin-Yeong Lee, Hyuk Jong Bong, Seongyong Yoon, Jonghun Yoon

doi:10.1016/j.ijsolstr.2024.113079

路径依赖塑性对反向弯曲回弹的影响及其在辊压成形中的应用

This study investigates springback behavior in martensitic advanced high-strength steels (AHSS) undergoing pure bending and reverse bending sequences. The comparison between a conventional isotropic hardening model and the Homogeneous Anisotropic Hardening (HAH20) model had been made, which accounts for non-isotropic hardening effects. Both models were calibrated using uniaxial tensile, cyclic, and loading–unloading tests. The results show that the HAH20 model predicts a higher initial springback compared to the isotropic model. However, reverse bending significantly reduces the overall springback for both models due to a minimized recovery moment. In scenarios with reverse bending, a specific strain exists where both models predict identical springback due to the secondary Bauschinger effect in tensile stress. This phenomenon is also observed in roll forming, a sequential bending process that incorporates reverse bending steps. Experimental findings from roll forming confirm a decrease in springback after the reverse bending stage. Furthermore, the study explores the impact of non-isotropic hardening on the part crashworthiness with the calibration of cross-loading effects. The Bauschinger effect and cross-loading contraction were found to reduce the maximum crash load by 6.2%.

本研究探讨了马氏体高级高强度钢(AHSS)在纯弯曲和反向弯曲过程中的回弹行为。将常规各向同性硬化模型与均匀各向异性硬化模型(HAH20)进行了比较,考虑了非各向同性硬化效应。两个模型都使用单轴拉伸、循环和加载-卸载试验进行校准。结果表明,与各向同性模型相比,HAH20模型预测的初始回弹量更高。然而,反向弯曲显着减少了整体回弹为两个模型由于最小的恢复时刻。在反向弯曲的情况下,由于拉应力中的二次包辛格效应,存在一个特定的应变,两个模型预测相同的回弹。这种现象也可以在滚压成形中观察到,这是一个包含反向弯曲步骤的连续弯曲过程。辊压成形的实验结果证实了反向弯曲阶段后回弹的减少。在此基础上,通过交叉加载效应的标定,探讨了非各向同性硬化对零件耐撞性的影响。包辛格效应和交叉加载收缩使最大碰撞载荷降低了6.2%。


Journal of the Mechanics and Physics of Solids

Electromechanics of stretchable hybrid response pressure sensors based on porous nanocomposites

Zheliang Wang, Zhengjie Li, Sungmin Sun, Sangjun Kim, Xianke Feng, Hongyang Shi, Nanshu Lu

doi:10.1016/j.jmps.2024.105872

基于多孔纳米复合材料的可拉伸混合响应压力传感器的电力学研究

Stretchable pressure sensors are a key enabler of human-mimetic e-skin technology, with promising applications in soft robotics, prosthetics, biomimetics, and biosensors. Stretchable hybrid response pressure sensor (SHRPS) is an emerging type of soft pressure sensor that employs hybrid piezoresistive and piezocapacitive responses. A unique feature of SHRPS based on barely conductive porous nanocomposite (PNC) is its exceptional pressure sensitivity which trivializes its sensitivity to lateral stretch or shear. In this work, we experimentally characterize the electromechanical responses of SHRPS under various loading conditions and provide theoretical explanations through an equivalent circuit model. The capacitance and resistance of the PNC are described by a parallel mixing law and Archie’s law, respectively. Our model can reasonably predict the responses of SHRPS. Our findings reveal that SHRPS exhibits minimal sensitivity to stretch and shear because the hybrid response mechanism is activated only under compression. The effects of PNC-electrode contact impedance fringe effects are discussed.

可拉伸压力传感器是仿人电子皮肤技术的关键推动因素,在软机器人、假肢、仿生学和生物传感器等领域有着广阔的应用前景。可拉伸混合响应压力传感器(SHRPS)是一种采用压阻和压电容混合响应的新型软压力传感器。基于几乎导电多孔纳米复合材料(PNC)的SHRPS的独特之处在于其特殊的压力敏感性,这使得其对侧向拉伸或剪切的敏感性变得非常小。在这项工作中,我们通过实验表征了不同负载条件下SHRPS的机电响应,并通过等效电路模型提供了理论解释。并联混合定律和阿奇定律分别描述了PNC的电容和电阻。我们的模型可以合理地预测SHRPS的响应。我们的研究结果表明,SHRPS对拉伸和剪切的敏感性最小,因为混合响应机制仅在压缩下被激活。讨论了pnc电极接触阻抗条纹效应的影响。


Nonlinear mechanical behaviour and visco-hyperelastic constitutive description of isotropic-genesis, polydomain liquid crystal elastomers at high strain rates

Xin Wang, Jiatong Han, Hongtu Xu, Haibo Ji, Zengshen Yue, Rui Zhang, Bingyang Li, Yan Ji, Zhen Li, Pengfei Wang, Tian Jian Lu

doi:10.1016/j.jmps.2024.105882

高应变速率下各向同性多畴液晶弹性体的非线性力学行为和粘-超弹性本构描述

The mechanical behaviour of isotropic-genesis, polydomain liquid crystal elastomers (I-PLCEs) at various strain rates is systematically investigated via experiments, theoretical analysis, and numerical modelling. Experiments encompassing SEM (scanning electron microscope), DSC (differential scanning calorimetry), TGA (thermogravimetric analyzer), quasi-static and dynamic (SHPB - split Hopkinson pressure bar) mechanical tests, as well as drop-weight impact tests, are undertaken to identify the nonlinear, large-strain, rate-dependent relationship between compressive stress and deformation of the I-PLCEs studied. Subsequently, a three-dimensional compressible visco-hyperelastic constitutive model for the material is established based on the summation of Cauchy stress components. The as-used model yields good agreement with experimental data, particularly an excellent description of the mechanical responses at high strain rates of 10^3 ∼ 10^4 s−1. The fully-calibrated constitutive model is implemented in the commercial finite element code ABAQUS via a virtual user-defined material (VUMAT) subroutine. The inhomogeneous deformation processes of the I-PLCEs, corresponding to impact by a hemispherically-tipped drop weight, which induces complex stress states, are also well described. Finally, when evaluated by two dimensionless physical parameters, the I-PLCEs demonstrate a more pronounced strain rate sensitivity in terms of dynamic strength and impact toughness compared to other commonly used materials, highlighting their superior performance in dynamic loading scenarios. The present study is helpful for the design and development of impact-resistant LCE-based materials and structures.

通过实验、理论分析和数值建模,系统地研究了各向同性多域液晶弹性体(I-PLCE)在不同应变速率下的机械性能。实验包括 SEM(扫描电子显微镜)、DSC(差示扫描量热仪)、TGA(热重分析仪)、准静态和动态(SHPB - 分体式霍普金森压力棒)机械测试以及落重冲击测试,以确定所研究的 I-PLCE 的压缩应力和变形之间的非线性、大应变和速率依赖关系。随后,根据 Cauchy 应力分量求和建立了材料的三维可压缩粘-超弹性结构模型。所使用的模型与实验数据具有良好的一致性,特别是对 10^3 ∼ 10^4 s-1 的高应变速率下的机械响应具有出色的描述。通过虚拟用户定义材料(VUMAT)子程序,在商用有限元代码 ABAQUS 中实现了完全校准的构成模型。此外,I-PLCE 的非均质变形过程也得到了很好的描述,这种变形过程与半球形尖头落锤的冲击过程相对应,后者会诱发复杂的应力状态。最后,在用两个无量纲物理参数进行评估时,I-PLCEs 在动态强度和冲击韧性方面的应变速率敏感性比其他常用材料更明显,突出了其在动态加载情况下的优越性能。本研究有助于设计和开发基于 LCE 的抗冲击材料和结构。


The hierarchical energy landscape of edge dislocation glide in refractory high-entropy alloys

Feng Zhao, Wenbin Liu, Yin Zhang, Huiling Duan

doi:10.1016/j.jmps.2024.105887

难熔高熵合金中边缘位错滑动的分层能量图

Refractory high-entropy alloys (RHEAs) are considered as potential candidates for high-temperature applications, with the glide resistance of edge dislocations being a crucial factor in determining the high-temperature strength. However, the solid-solution strengthening mechanism of edge dislocations in RHEAs is not fully understood. The existing Labusch-type models mainly focus on the long-range interaction of solute atoms with the dislocation stress field, while there is little attention paid to the short-range interaction in the dislocation core region. Here, we conduct carefully designed atomic simulations to decouple the long-range and short-range interactions in a typical RHEA, NbMoTaW. Furthermore, the total change in solute-dislocation interaction energy is decomposed, and a hierarchical energy landscape is revealed, demonstrating that the short-range interaction at the core region gains more importance in the solid-solution strengthening of edge dislocations in NbMoTaW. Then, we determine the Larkin length, which signifies the transition from size-dependent to size-independent dislocation behavior. The activation barrier extracted from the simulation with the dislocation length above the Larkin length is incorporated into the crystal plasticity model, and the high-temperature yield strength is well predicted by the strengthening from edge dislocations. Our work provides deep insight into the solid-solution strengthening mechanism in random solution solids, elucidating the importance of the local atomic configuration around the dislocation core.

耐火高熵合金(RHEAs)被认为是高温应用的潜在候选者,其边缘位错的滑动阻力是决定高温强度的关键因素。然而,边沿位错的固溶强化机制尚不完全清楚。现有的labusch型模型主要关注溶质原子与位错应力场的远程相互作用,而对位错核心区的短程相互作用关注较少。在这里,我们进行了精心设计的原子模拟,以解耦典型的RHEA NbMoTaW中的远程和短程相互作用。此外,对NbMoTaW中溶质-位错相互作用能的总变化进行了分解,揭示了NbMoTaW中边缘位错固溶强化过程中核心区的短程相互作用更为重要。然后,我们确定了拉金长度,它标志着从尺寸依赖到尺寸无关的位错行为的转变。将位错长度大于拉金长度的激活势垒纳入晶体塑性模型,利用边缘位错强化可以很好地预测高温屈服强度。我们的工作提供了对随机溶液固体中固溶强化机制的深刻见解,阐明了位错核心周围局部原子构型的重要性。


International Journal of Plasticity

Achieving superior strength and ductility synergy in bulk ultrafine grained Al-Mg-Sc-Zr alloy via powder pre-aging

Mingxi Li, Jiashuo Liu, Ruixiao Zheng, Guodong Li, Maowen Liu, Yuanyuan Lu, Wenlong Xiao, Chaoli Ma

doi:10.1016/j.ijplas.2024.104143

通过粉末预时效,使大块超细晶Al-Mg-Sc-Zr合金具有优异的强度和延展性

Introducing high density of nano-precipitates to recrystallized ultrafine grains is helpful to realize strength-ductility synergy but is a challenging task, because recrystallization and precipitate growth/coarsening usually concur. Here we develop a pre-aging powder metallurgy processing route to achieve such microstructure in Al-Mg-Sc-Zr alloy. During the pre-aging stage, atomic clusters including short-range order are formed within the grains, which provide new sites for the nucleation and enable the formation of fine Al3(Sc, Zr) precipitates. Subsequent high-temperature sintering and hot extrusion lead to grain recrystallization. The nano-precipitates not only further strengthen the ultrafine-grained alloy by Orowan mechanism, but also greatly enhance the strain-hardening rate by dislocation-precipitate interaction, resulting in excellent strength-ductility synergy. The utilization of digital image correlation (DIC) analysis allows for the observation of dynamic strain aging during the tensile process, whereby the strain demonstrates a distinctive step-like transition coinciding with the passage of the Portevin-Le Chatelier (PLC) band. This work provides a new path for improving the mechanical properties of the same type of metallic materials.

在再结晶的超细晶粒中引入高密度的纳米析出物有助于实现强度-塑性协同作用,但这是一项具有挑战性的任务,因为再结晶和析出物生长/粗化通常是同时发生的。本文研究了Al-Mg-Sc-Zr合金的预时效粉末冶金工艺路线。在预时效阶段,晶粒内部形成了短程有序的原子团簇,为晶核的形成提供了新的位置,形成了细小的Al3(Sc, Zr)相。随后的高温烧结和热挤压导致晶粒再结晶。纳米析出物不仅通过Orowan机制进一步强化了超细晶合金,而且通过位错-析出物相互作用大大提高了应变硬化速率,形成了优异的强度-塑性协同效应。利用数字图像相关(DIC)分析可以观察到拉伸过程中的动态应变老化,其中应变表现出与Portevin-Le Chatelier (PLC)带的通过相一致的独特的阶梯状转变。这项工作为提高同类型金属材料的力学性能提供了一条新的途径。


Thin-Walled Structures

Experimental study on rotary inter-module connections with corrosion-resistant metal materials: Under axial tension

Xinxiang Liang, Chao Hou, Jiahao Peng

doi:10.1016/j.tws.2024.112507

耐腐蚀金属材料旋转模块间连接轴向拉伸试验研究

Modular construction is an innovative construction technology that has attracted considerable attention for its pronounced advantages in reducing reliance on on-site labor, speeding up construction, enhancing productivity, and ensuring superior quality. To extend the applicability of modular construction to structures in corrosive environments, such as ocean floating structures for exploring renewable energy, a rotary inter-module connection employing corrosion-resistant metal materials was proposed herein. Six full-scale inter-module connection specimens made of grade S30408 austenitic stainless steel, grade S220503 duplex stainless steel, and grade A96061-T6 aluminum alloy were tested under axial tension. The load-displacement relationships of each specimen were recorded to enable a thorough analysis of the strength, stiffness, and ductility of the tested specimens. As compared to the conventional carbon steel counterparts, the stainless steel specimens showed superior load-bearing capacity with improved ductility, while the aluminum alloy specimens experienced brittle fracture at the bolt shank-bottom plate junction with reduced load-bearing capacity. Three typical failure modes were identified in the experimental study, namely, plastification of the connector and lower corner fitting, plastification of the connector and both corner fittings, and fracture of the bolt. The load-strain relationships of each specimen were also discussed to analyze the load transfer mechanism and structural behavior of the connection. In addition, the applicability and accuracy of the simplified calculation methods based on beam bending theory and Navier solution for rectangular thin plates, respectively, were discussed based on the test results.

模块化施工是一种创新的施工技术,因其在减少对现场人工的依赖、加快施工速度、提高生产率、保证质量等方面的显著优势而备受关注。为了将模块化结构的适用性扩展到腐蚀环境中的结构,例如用于探索可再生能源的海洋浮式结构,本文提出了一种采用耐腐蚀金属材料的旋转式模块间连接。采用S30408级奥氏体不锈钢、S220503级双相不锈钢和A96061-T6级铝合金制作了6个全尺寸模间连接试件进行轴向拉伸试验。记录每个试件的荷载-位移关系,以便对试件的强度、刚度和延性进行全面分析。与常规碳钢试件相比,不锈钢试件具有较强的承载能力,延性得到改善;铝合金试件在螺栓杆-底板连接处发生脆性断裂,承载能力降低。试验研究确定了三种典型的破坏模式,即连接器与下角件塑化、连接器与两个角件塑化和螺栓断裂。讨论了各试件的荷载-应变关系,分析了连接的荷载传递机理和结构性能。此外,根据试验结果,讨论了基于梁弯曲理论的简化计算方法和基于Navier解的简化计算方法对矩形薄板的适用性和准确性。


Double blast loadings of clamped square steel plates

Shanyong Chu, Ye Yuan, Yifan Huang, Yan Liu, Zixi Xu, Moyan Liu, Fenglei Huang

doi:10.1016/j.tws.2024.112484

夹紧方形钢板的双重爆炸载荷

This paper presents a combining experimental, numerical, and analytical efforts to elucidate the resultant effect of synchronised double blast loadings on square steel plates. Blast tests were performed to investigate the effect of the distance between the two identical charges upon the large inelastic deformation of fully-clamped steel plates at various standoff distances. Detailed three-dimensional finite element simulations using LS-Dyna were performed to provide insights into the equal blast wave collision and transient response of the ductile plates under the double blast loading. An analytical model was developed to predict the large inelastic deflection of the fully-clamped thin plate under either pulse pressure loading or impulsive loading (an instantaneous zero-period impulse). Experimental results found that splitting a 1kg TNT into 2 × 0.5 kg TNT (with a certain separating distance) would lead to greater permanent inelastic deformation of the ductile thin plates (by up to 19.6%). Both numerical and analytical results were validated against experimental data. Results from the parametric study showed that an optimum charging distance exists for maximised plate deflection under a given TNT mass and standoff distance. The results presented in this work shall be useful for evaluating the hazards of multiple blast loadings or for demolition applications.

本文采用实验、数值和分析相结合的方法,阐明了同步双爆炸载荷对方形钢板的综合影响。进行了爆炸试验,研究了两种相同装药之间的距离对不同距离下全夹紧钢板大非弹性变形的影响。利用LS-Dyna进行了详细的三维有限元模拟,以深入了解双爆炸载荷下延性板的等冲击波碰撞和瞬态响应。建立了脉冲压力载荷和脉冲载荷(瞬时零周期脉冲)作用下全夹紧薄板的大非弹性挠度分析模型。实验结果发现,将1kg TNT分成2 × 0.5 kg TNT(有一定的分离距离),可使延性薄板产生较大的永久非弹性变形(最大可达19.6%)。数值和分析结果均与实验数据相吻合。参数化研究结果表明,在一定的TNT质量和距离下,存在一个最佳装药距离,使板挠度最大化。在这项工作中提出的结果将有助于评估多重爆炸载荷的危害或用于拆除应用。



来源:复合材料力学仿真Composites FEM
ACTMechanicalLS-DYNASystemAbaqus断裂复合材料碰撞非线性电路冶金电力电子海洋理论化机爆炸材料螺栓
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首次发布时间:2024-11-27
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【新文速递】2024年10月8日固体力学SCI期刊最新文章

今日更新:International Journal of Solids and Structures 2 篇,Thin-Walled Structures 1 篇International Journal of Solids and StructuresConstitutive modeling of functional fatigue with tension–compression asymmetry for superelastic NiTi shape memory alloyZiheng Wang, Chaofan Feng, Dongjie Jiangdoi:10.1016/j.ijsolstr.2024.113099超弹性NiTi形状记忆合金拉压不对称功能疲劳本构建模Under cyclic loads, superelastic shape memory alloys (SMAs) exhibit stress–strain responses featured by functional fatigue, i.e., degradation of superelasticity and accumulation of irrecoverable deformation as cycling number increases, together with an asymmetry between tensile and compressive responses. Comprehensive understanding and modeling of these material complexities are crucial for the design and analysis of various superelastic SMA structures in practical applications. This work has developed a novel constitutive model based on irreversible thermodynamics to account for functional fatigue with tension–compression asymmetry. A potential function, defined as a weighted sum of two potentials that are calibrated against the tensile and compressive responses respectively, is employed to generate the asymmetric responses, and functional fatigue is represented by degradation of superelastic properties and growth of plastic strain as martensitic transformation accumulates. The model is adopted in numerical simulations for superelastic SMA tubes under cyclic lateral compression, which is experimentally investigated as a model problem. The agreement between simulations and experiments shows the validity and effectiveness of this constitutive modeling. Through additional finite element simulations incorporating this model, the effects of tension–compression asymmetry under cycling and diameter-to-thickness ratio of the tubular geometry upon mechanical responses of laterally compressed SMA tubes are also unveiled.在循环荷载作用下,超弹性形状记忆合金(sma)表现出以功能疲劳为特征的应力应变响应,即随着循环次数的增加,超弹性的退化和不可恢复变形的积累,以及拉伸和压缩响应之间的不对称。对这些材料复杂性的全面理解和建模对于实际应用中各种超弹性SMA结构的设计和分析至关重要。本工作开发了一种基于不可逆热力学的新型本构模型,用于考虑具有拉压不对称的功能疲劳。一个势函数,定义为分别针对拉伸和压缩响应校准的两个势的加权和,用于产生不对称响应,功能疲劳是由超弹性性能的退化和马氏体相变积累的塑性应变的增长来表示的。采用该模型对超弹性SMA管进行了循环侧向压缩的数值模拟,并将其作为模型问题进行了实验研究。仿真结果与实验结果吻合,证明了本构模型的正确性和有效性。通过结合该模型的额外有限元模拟,还揭示了循环下的拉压不对称以及管状结构的直径/厚度比对横向压缩SMA管的力学响应的影响。Magneto-viscoelastic rod model for hard-magnetic soft rods under 3D large deformation: Theory and numerical implementationXin Li, Dingcong Zhang, Jiashen Guan, Ju Liu, Hongyan Yuandoi:10.1016/j.ijsolstr.2024.113101三维大变形下硬磁软棒的磁粘弹性棒模型:理论与数值实现The main purpose of this work is to develop a three-dimensional (3D) viscoelastic rod model for hard-magnetic soft (HMS) rods under large deformation which are widely used active structures in soft robotics. To do so, the Simo’s viscoelasticity theory has been rationally incorporated into the geometrically exact 3D curved rod model. The proposed model includes the deformation modes of axial tension, shear, bending, and torsion, which is applicable to the HMS rods with arbitrarily initial curved and twisted geometries under 3D large deformation. The viscoelastic constitutive equations of the HMS rod in the present formulation are formulated, which include the general relaxation functions. To obtain the expression for the magnetic load, the rotation-based magnetic free energy density is introduced, and the governing equations of the HMS rod with magnetic load and body force are presented. To obtain the numerical implementation, an implicit time integration algorithm that simply extends the generalized-α method for the rotation group, and the corresponding variational formulation and its linearization of the rod model are derived. To validate the model, five numerical examples, including 2D dynamic buckling, 3D static, and 3D dynamic problem are presented. The dynamic problems include the dynamic snap-through behavior of a bistable HMS arch and damped oscillation of a quarter arc cantilever under 3D deformation. The simulation results show good agreement with the results reported in the literature.本文的主要目的是建立大变形硬磁软杆的三维粘弹性杆模型。硬磁软杆是软机器人中广泛应用的主动结构。为此,Simo粘弹性理论被合理地纳入几何精确的三维弯曲杆模型中。该模型包括轴向拉伸、剪切、弯曲和扭转的变形模式,适用于具有任意初始弯曲和扭曲几何形状的HMS杆在三维大变形下的变形模式。建立了含广义松弛函数的HMS杆的粘弹性本构方程。为了得到磁载荷的表达式,引入了基于旋转的磁自由能密度,给出了磁载荷和体力作用下HMS杆的控制方程。为了获得数值实现,推导了一种简单推广旋转群广义-α法的隐式时间积分算法,并推导了相应的杆模型变分公式及其线性化。为了验证该模型的有效性,给出了二维动态屈曲、三维静态屈曲和三维动态屈曲五个数值算例。动力学问题包括双稳态HMS拱的动态贯通行为和四分之一圆弧悬臂梁在三维变形下的阻尼振荡。仿真结果与文献报道的结果吻合较好。Thin-Walled StructuresStudy on the PDDO-based meshfree method in numerical simulation of shell ductile fracture considering a non-local GTN modelLiu Fan, Shi Yang, Hu Yu-meng, Feng Guo-qingdoi:10.1016/j.tws.2024.112521考虑非局部GTN模型的壳韧性断裂数值模拟中基于pddo的无网格方法研究A meshfree method is developed based on the peridynamic differential operator (PDDO) for ductile damage and fracture problems in metal shell structures. The kinematic equations coupled to classical continuum mechanics (CCM) are derived with the motion variables discretized by the PDDO. The elastoplastic and fracture behavior of the material are described by applying the Gurson-Tvergaard-Needleman (GTN) model with shear modification, and the non-local form of the model improves the computational convergence for different modeling scales. The zero-energy model in numerical computations is effectively controlled by introducing an hourglass force based on the average displacement state. The particles contact algorithm and multi-crack visualization algorithm are developed to simulate the fracture of shell structures under collision loads. By comparing with experiments, it is verified that the proposed PDDO-based meshfree method can accurately predict the ductile fracture of shell structures subjected to in-plane and out-of-plane loads.针对金属壳结构的延性损伤和断裂问题,提出了一种基于周动力微分算子(PDDO)的无网格方法。推导了与经典连续介质力学(CCM)耦合的运动方程,并将运动变量用PDDO离散化。采用剪切修正的Gurson-Tvergaard-Needleman (GTN)模型来描述材料的弹塑性和断裂行为,该模型的非局部形式提高了不同建模尺度下的计算收敛性。通过引入基于平均位移状态的沙漏力,有效地控制了数值计算中的零能量模型。提出了颗粒接触算法和多裂纹可视化算法来模拟壳结构在碰撞载荷作用下的断裂。通过与实验对比,验证了所提出的基于pddo的无网格方法能够准确预测壳结构在面内和面外荷载作用下的韧性断裂。来源:复合材料力学仿真Composites FEM

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