Acta Mechanica Solida Sinica最新文献

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Size and Interface Effects on Tensile Strength of Polymers with Nano/Micro Particle Inclusions 尺寸和界面对含有纳米/微粒夹杂物的聚合物拉伸强度的影响
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-06-12 DOI: 10.1007/s10338-024-00498-0
R. Yuan, X. Ma, L. H. Liang, Y. Wei
{"title":"Size and Interface Effects on Tensile Strength of Polymers with Nano/Micro Particle Inclusions","authors":"R. Yuan,&nbsp;X. Ma,&nbsp;L. H. Liang,&nbsp;Y. Wei","doi":"10.1007/s10338-024-00498-0","DOIUrl":"10.1007/s10338-024-00498-0","url":null,"abstract":"<div><p>Polymers with particle inclusions have wide applications, and the mechanical properties of polymer composites affect their reliability in service. The strength of these composites is dependent on factors such as particle fraction, size, distribution, and interface interaction between the two phases, in addition to the properties of the polymers and particles. The size effect of particles and interface damage play an important role and thus draw considerable attention. In this paper, the size- and interface-dependent strength of polypropylene (PP) with nano/micro silica (SiO<sub>2</sub>) particles of different fractions is studied through a combination of tensile experiments on a series of samples and corresponding three-dimensional (3D) finite element modeling. The results indicate that PP with 2% SiO<sub>2</sub> nanoparticles of 50 nm exhibits relatively higher tensile strength, shedding light on the microstructure mechanism where smaller particle sizes lead to better interface bonding. Furthermore, the particle size and interface coupling effect is analyzed based on the size-dependent elastic modulus model and the interface-cohesive model. The simulation demonstrates the local interface damage evolution around a particle of the composites in tension. These findings are beneficial for designing polymer composites with nanoparticle inclusions.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"812 - 822"},"PeriodicalIF":2.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141350696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Linear and Nonlinear Formulation of Phase Field Model with Generalized Polynomial Degradation Functions for Brittle Fractures 带有广义多项式退化函数的脆性断裂相场模型的线性和非线性公式化
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-06-11 DOI: 10.1007/s10338-024-00501-8
Ala Tabiei, Li Meng
{"title":"Linear and Nonlinear Formulation of Phase Field Model with Generalized Polynomial Degradation Functions for Brittle Fractures","authors":"Ala Tabiei,&nbsp;Li Meng","doi":"10.1007/s10338-024-00501-8","DOIUrl":"10.1007/s10338-024-00501-8","url":null,"abstract":"<div><p>The classical phase field model has wide applications for brittle materials, but nonlinearity and inelasticity are found in its stress–strain curve. The degradation function in the classical phase field model makes it a linear formulation of phase field and computationally attractive, but stiffness reduction happens even at low strain. In this paper, generalized polynomial degradation functions are investigated to solve this problem. The first derivative of degradation function at zero phase is added as an extra constraint, which renders higher-order polynomial degradation function and nonlinear formulation of phase field. Compared with other degradation functions (like algebraic fraction function, exponential function, and trigonometric function), this polynomial degradation function enables phase in [0, 1] (should still avoid the first derivative of degradation function at zero phase to be 0), so there is no <span>(Gamma )</span> convergence problem. The good and meaningful finding is that, under the same fracture strength, the proposed phase field model has a larger length scale, which means larger element size and better computational efficiency. This proposed phase field model is implemented in LS-DYNA user-defined element and user-defined material and solved by the Newton–Raphson method. A tensile test shows that the first derivative of degradation function at zero phase does impact stress–strain curve. Mode I, mode II, and mixed-mode examples show the feasibility of the proposed phase field model in simulating brittle fracture.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"643 - 661"},"PeriodicalIF":2.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-024-00501-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141360240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Size-Dependent Analysis of Piezoelectric–Elastic Bilayer Microbeams Based on General Strain Gradient Theory 基于一般应变梯度理论的压电弹性双层微梁尺寸依赖性分析
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-06-06 DOI: 10.1007/s10338-024-00492-6
Kanghui Wu, Shenjie Zhou, Zhenjie Zhang, Juanjuan Li
{"title":"Size-Dependent Analysis of Piezoelectric–Elastic Bilayer Microbeams Based on General Strain Gradient Theory","authors":"Kanghui Wu,&nbsp;Shenjie Zhou,&nbsp;Zhenjie Zhang,&nbsp;Juanjuan Li","doi":"10.1007/s10338-024-00492-6","DOIUrl":"10.1007/s10338-024-00492-6","url":null,"abstract":"<div><p>The classical piezoelectric theory fails to capture the size-dependent electromechanical coupling behaviors of piezoelectric microstructures due to the lack of material length-scale parameters. This study presents the constitutive relations of a piezoelectric material in terms of irreducible transversely isotropic tensors that include material length-scale parameters. Using these relations and the general strain gradient theory, a size-dependent bending model is proposed for a bilayer cantilever microbeam consisting of a transversely isotropic piezoelectric layer and an isotropic elastic layer. Analytical solutions are provided for bilayer cantilever microbeams subjected to force load and voltage load. The proposed model can be simplified to the model incorporating only partial strain gradient effects. This study examines the effect of strain gradient by comparing the normalized electric potentials and deflections of different models. Numerical results show that the proposed model effectively captures size effects in piezoelectric microbeams, whereas simplified models underestimate size effects due to ignoring partial strain gradient effects.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 4","pages":"622 - 633"},"PeriodicalIF":2.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141379373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Kinematic Shakedown Analysis for Strain-Hardening Plates with the C1 Nodal Natural Element Method 采用 C1 节点自然要素法对应变硬化板进行运动振动分析
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-28 DOI: 10.1007/s10338-024-00483-7
Shutao Zhou, Xiaohui Wang, Yatang Ju
{"title":"Kinematic Shakedown Analysis for Strain-Hardening Plates with the C1 Nodal Natural Element Method","authors":"Shutao Zhou,&nbsp;Xiaohui Wang,&nbsp;Yatang Ju","doi":"10.1007/s10338-024-00483-7","DOIUrl":"10.1007/s10338-024-00483-7","url":null,"abstract":"<div><p>This paper proposes a novel numerical solution approach for the kinematic shakedown analysis of strain-hardening thin plates using the C<sup>1</sup> nodal natural element method (C<sup>1</sup> nodal NEM). Based on Koiter’s theorem and the von Mises and two-surface yield criteria, a nonlinear mathematical programming formulation is constructed for the kinematic shakedown analysis of strain-hardening thin plates, and the C<sup>1</sup> nodal NEM is adopted for discretization. Additionally, König’s theory is used to deal with time integration by treating the generalized plastic strain increment at each load vertex. A direct iterative method is developed to linearize and solve this formulation by modifying the relevant objective function and equality constraints at each iteration. Kinematic shakedown load factors are directly calculated in a monotonically converging manner. Numerical examples validate the accuracy and convergence of the developed method and illustrate the influences of limited and unlimited strain-hardening models on the kinematic shakedown load factors of thin square and circular plates.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"786 - 797"},"PeriodicalIF":2.0,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cushioning Performance of a Novel Polyurethane Foam Material Applied in Fragile Packaging 应用于易碎包装的新型聚氨酯泡沫材料的缓冲性能
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-22 DOI: 10.1007/s10338-024-00490-8
Huifeng Xi, Chunqiu Guo, Jinbiao Yang, Xiaogang Wang, Bowei Wang, Shiqing Huang, Zhiwei Wang
{"title":"Cushioning Performance of a Novel Polyurethane Foam Material Applied in Fragile Packaging","authors":"Huifeng Xi,&nbsp;Chunqiu Guo,&nbsp;Jinbiao Yang,&nbsp;Xiaogang Wang,&nbsp;Bowei Wang,&nbsp;Shiqing Huang,&nbsp;Zhiwei Wang","doi":"10.1007/s10338-024-00490-8","DOIUrl":"10.1007/s10338-024-00490-8","url":null,"abstract":"<div><p>For fragile products, packaging requires cushioning protection to prevent irreversible damage from accidental falls, transportation impacts, and other causes. The new polyurethane foam (PUF) material demonstrates superior cushioning and vibration isolation performance in practical applications, effectively minimizing damage from vibrations. Drop and vibration experiments were conducted on packages comprising novel PUF, expandable polyethylene, ethylene–vinyl acetate copolymer foam, and bracelets. Results verify that the new PUF material outperforms in cushioning and vibration isolation, as observed from the acceleration response. Furthermore, a random vibration analysis of a packaging unit involving different thicknesses of PUF materials and bracelets reveals the enhanced vibration isolation effect within a specific thickness range. The vibration results of the bracelet’s outer packaging align closely with finite element simulation results, validating the effectiveness of designing and optimizing the outer packaging. Through finite element simulation, deeper understanding and prediction of the bracelet’s vibration response under various conditions is achieved, facilitating optimized packaging design for better protection and vibration damping.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 3","pages":"487 - 497"},"PeriodicalIF":2.0,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141108087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear Dynamics of an Axially Moving Plate Submerged in Fluid with Parametric and Forced Excitation 浸没在流体中的轴向运动板块的非线性动力学与参数和强制激励
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-16 DOI: 10.1007/s10338-024-00473-9
Hongying Li, Yijiao Xu, Wenqi Zhang, Jian Li
{"title":"Nonlinear Dynamics of an Axially Moving Plate Submerged in Fluid with Parametric and Forced Excitation","authors":"Hongying Li,&nbsp;Yijiao Xu,&nbsp;Wenqi Zhang,&nbsp;Jian Li","doi":"10.1007/s10338-024-00473-9","DOIUrl":"10.1007/s10338-024-00473-9","url":null,"abstract":"<div><p>In this study, analytical and numerical methods are applied to investigate the dynamic response of an axially moving plate subjected to parametric and forced excitation. Based on the classical thin plate theory, the governing equation of the plate coupled with fluid is established and further discretized through the Galerkin method. These equations are solved using the method of multiple scales to obtain amplitude-frequency curves and phase-frequency curves. The stability of steady-state response is examined using Lyapunov’s stability theory. In addition, numerical analysis is employed to validate the results of analytical solutions based on the Runge–Kutta method. The multi-value and stability of periodic solutions are verified through stable periodic orbits. Detailed parametric studies show that proper selection of system parameters enables the system to stay in primary resonance or simultaneous resonance, and the state of the system can switch among different periodic motions, contributing to the optimization of fluid–structure interaction system.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"727 - 735"},"PeriodicalIF":2.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140970021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Feature Selection Using Tree Model and Classification Through Convolutional Neural Network for Structural Damage Detection 利用树状模型进行特征选择,并通过卷积神经网络进行分类,用于结构损伤检测
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-16 DOI: 10.1007/s10338-024-00491-7
Zihan Jin, Jiqiao Zhang, Qianpeng He, Silang Zhu, Tianlong Ouyang, Gongfa Chen
{"title":"Feature Selection Using Tree Model and Classification Through Convolutional Neural Network for Structural Damage Detection","authors":"Zihan Jin,&nbsp;Jiqiao Zhang,&nbsp;Qianpeng He,&nbsp;Silang Zhu,&nbsp;Tianlong Ouyang,&nbsp;Gongfa Chen","doi":"10.1007/s10338-024-00491-7","DOIUrl":"10.1007/s10338-024-00491-7","url":null,"abstract":"<div><p>Structural damage detection (SDD) remains highly challenging, due to the difficulty in selecting the optimal damage features from a vast amount of information. In this study, a tree model-based method using decision tree and random forest was employed for feature selection of vibration response signals in SDD. Signal datasets were obtained by numerical experiments and vibration experiments, respectively. Dataset features extracted using this method were input into a convolutional neural network to determine the location of structural damage. Results indicated a 5% to 10% improvement in detection accuracy compared to using original datasets without feature selection, demonstrating the feasibility of this method. The proposed method, based on tree model and classification, addresses the issue of extracting effective information from numerous vibration response signals in structural health monitoring.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 3","pages":"498 - 518"},"PeriodicalIF":2.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140968010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Semi-analytical Solutions for Wellbores with Graded Skin Zones in Poroelastic Media 具有梯度表皮区的柔性介质井筒的半分析解决方案
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-15 DOI: 10.1007/s10338-024-00487-3
Zhiqiang Fan, Zhihe Jin
{"title":"Semi-analytical Solutions for Wellbores with Graded Skin Zones in Poroelastic Media","authors":"Zhiqiang Fan,&nbsp;Zhihe Jin","doi":"10.1007/s10338-024-00487-3","DOIUrl":"10.1007/s10338-024-00487-3","url":null,"abstract":"<div><p>In analyzing the complex interaction between the wellbore and the reservoir formation, the hydromechanical properties of the region proximal to the wellbore, referred to as the “wellbore skin zone”, play a pivotal role in determining flow dynamics and the resulting formation deformation. Existing models of the wellbore skin zone generally assume a constant permeability throughout, resulting in a sharp permeability discontinuity at the skin-reservoir interface. This paper introduces a model for a wellbore with a continuously graded skin zone of finite thickness within a poroelastic medium. Analytical solutions are derived using the Laplace transform method, addressing both positive and negative skin zones. Numerical results are presented to illustrate the effects of graded permeability/skin zone thickness on pore pressures and stresses around a wellbore. The results highlight a distinct divergence in stress and pore pressure fields when comparing wellbores with negative skin zones to those with positive skin zones or no skin at all.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 3","pages":"385 - 395"},"PeriodicalIF":2.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140974068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coupled Inversion of Pressure and Tiltmeter Data for Mapping Hydraulic Fracture Geometry 压力和倾斜仪数据的耦合反演,用于绘制水力压裂几何图形
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-07 DOI: 10.1007/s10338-024-00489-1
Zuorong Chen, Xiaofang Jiang, Zhejun Pan, Robert G. Jeffrey
{"title":"Coupled Inversion of Pressure and Tiltmeter Data for Mapping Hydraulic Fracture Geometry","authors":"Zuorong Chen,&nbsp;Xiaofang Jiang,&nbsp;Zhejun Pan,&nbsp;Robert G. Jeffrey","doi":"10.1007/s10338-024-00489-1","DOIUrl":"10.1007/s10338-024-00489-1","url":null,"abstract":"<div><p>Pressure and tilt data are jointly inverted to simultaneously map the orientation and dimensions of a hydraulic fracture. The deformation induced by a fracture under internal pressure is modeled using the distributed dislocation technique. The planar fracture is represented by four quarter ellipses, joined at the center and sharing semi-axes. This configuration provides a straightforward model for characterizing asymmetric fracture geometry. The inverse problem of mapping the fracture geometry is formulated using the Bayesian probabilistic method, combining the <i>a priori</i> information on the fracture model with updated information from pressure and tilt data. Solving the nonlinear inverse problem is achieved by pseudo-randomly sampling the posterior probability distribution through the Markov chain Monte Carlo method. The resulting posterior probability distribution is then explored to assess uncertainty, resolution, and correlation between model parameters. Numerical experiments are conducted to verify the accuracy and validity of the proposed analysis method in mapping the fracture geometry using synthetic pressure and tilt data.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 3","pages":"396 - 405"},"PeriodicalIF":2.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytical Expression for the Atomic Friction of a Single Asperity Based on the Prandtl–Tomlinson Model 基于普朗特-汤林森模型的单个微囊原子摩擦力分析表达式
IF 2 3区 工程技术
Acta Mechanica Solida Sinica Pub Date : 2024-05-02 DOI: 10.1007/s10338-024-00488-2
Weike Yuan, Yue Ding, Gangfeng Wang, Xinrui Niu
{"title":"Analytical Expression for the Atomic Friction of a Single Asperity Based on the Prandtl–Tomlinson Model","authors":"Weike Yuan,&nbsp;Yue Ding,&nbsp;Gangfeng Wang,&nbsp;Xinrui Niu","doi":"10.1007/s10338-024-00488-2","DOIUrl":"10.1007/s10338-024-00488-2","url":null,"abstract":"<div><p>The Prandtl–Tomlinson (PT) model has been widely applied to interpret the atomic friction mechanism of a single asperity. In this study, we present an approximate explicit expression for the friction force in the one-dimensional PT model under quasi-static conditions. The ‘stick–slip’ friction curves are first approximated properly by sawtooth-like lines, where the critical points before and after the ‘slip’ motion are described analytically in terms of a dimensionless parameter <i>η</i>. Following this, the average friction force is expressed in a closed form that remains continuous and valid for <i>η</i> &gt; 1. Finally, an analytical expression for the load dependence of atomic friction of a single asperity is derived by connecting the parameter <i>η</i> with the normal load. With the parameters reported in experiments, our prediction shows good agreement with relevant experimental results.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 3","pages":"416 - 422"},"PeriodicalIF":2.0,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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