Acta Mechanica Solida Sinica最新文献_第9页

Mixed-Mode Fracture in Orthotropic FGMs: A Phase-Field Approach with Exponential Finite Elements 正交各向异性fgm混合模式断裂：指数有限元相场法

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-10-08 DOI: 10.1007/s10338-025-00641-5

P. C. Sidharth, B. N. Rao

{"title":"Mixed-Mode Fracture in Orthotropic FGMs: A Phase-Field Approach with Exponential Finite Elements","authors":"P. C. Sidharth, B. N. Rao","doi":"10.1007/s10338-025-00641-5","DOIUrl":"10.1007/s10338-025-00641-5","url":null,"abstract":"<div>\u0000 \u0000 <p>Modeling fracture in orthotropic functionally graded materials (FGMs) presents numerous challenges due to their complex material behavior, which varies spatially and directionally. Furthermore, the continuous gradient in the material composition poses difficulties in accurately capturing fracture behavior, necessitating advanced numerical techniques in the purview of finite element analysis. Through the implementation of exponential finite element (EFE) shape functions in the phase-field model, this study aims to improve the accuracy of fracture prediction in orthotropic FGMs under mixed mode loading cases. An example in shear loading case is presented for the first time. The methodology is evaluated in different orthotropy angles, material gradation directions, and gradation types to analyze their influence on fracture behavior in orthotropic FGMs. Comparisons between EFE and linear finite element reveal that EFE consistently reduces error in peak load predictions, with significant improvements while incurring only a marginal increase in computational cost.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 5","pages":"624 - 634"},"PeriodicalIF":2.7,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148011986","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

Wave Propagation in Periodic Composite Structures Through Isogeometric High-Order Homogenization 周期复合材料结构中波的等高次均匀化传播

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-10-07 DOI: 10.1007/s10338-025-00634-4

Xiaonan Su, Wenjiong Chen, Shutian Liu

{"title":"Wave Propagation in Periodic Composite Structures Through Isogeometric High-Order Homogenization","authors":"Xiaonan Su, Wenjiong Chen, Shutian Liu","doi":"10.1007/s10338-025-00634-4","DOIUrl":"10.1007/s10338-025-00634-4","url":null,"abstract":"<div><p>The theoretical research and development of wave propagation in periodic structures is the basis for studying dynamic response problems, dynamic mechanical properties of materials, medical ultrasonic problems, nondestructive testing and other problems. The isogeometric analysis (IGA), in conjunction with the high-order homogenization approach, is presented in this work for wave propagation analysis in periodic composite structures. Discretizing the microscopic characteristic function using non-uniform rational B-splines (NURBS) basis function improves the accuracy of high-order field calculations. The macro- and microscale wave equations are solved using the IGA method. The wave propagation equation is progressively expanded by using the asymptotic homogenization method based on multi-spatial scales within the isogeometric discretization framework, thereby reducing the sensitivity of the time step and the calculation time while maintaining the same level of accuracy. Several numerical examples are given to demonstrate the effectiveness of this isogeometric high-order homogenization (IGHH) model for wave propagation.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 3","pages":"251 - 264"},"PeriodicalIF":2.7,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147558766","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

An Analytical Model for Nonlinear Static and Buckling Analysis of Sandwich Auxetic Cylinders with Functionally Graded Face Sheets Under Combined Axial and Radial Loading 轴向和径向复合载荷作用下功能梯度面片夹层消声圆柱体非线性静力和屈曲分析模型

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-10-06 DOI: 10.1007/s10338-025-00646-0

Farid Mahboubi Nasrekani

{"title":"An Analytical Model for Nonlinear Static and Buckling Analysis of Sandwich Auxetic Cylinders with Functionally Graded Face Sheets Under Combined Axial and Radial Loading","authors":"Farid Mahboubi Nasrekani","doi":"10.1007/s10338-025-00646-0","DOIUrl":"10.1007/s10338-025-00646-0","url":null,"abstract":"<div><p>This study presents an analytical formulation for evaluating the nonlinear equilibrium equations and axial buckling behavior of functionally graded (FG) auxetic cylinders subjected to combined axial and radial loading. The FG auxetic cylinder includes two inner and outer FG layers and one re-entrant honeycomb core layer. The mechanical properties of the FG layers vary through the thickness, and the presented formulation applies to any FG layers with power-law volume fractions. The governing equations are derived using the first-order shear deformation theory (FSDT) and von Kármán nonlinear relations. Nonlinear equilibrium equations are solved using the perturbation technique, while a closed-form solution is obtained for the stability equations with variable coefficients. A detailed parametric study explores the effects of FG layer properties, geometric features, and re-entrant honeycomb core parameters on both deformation and buckling performance. Results show that FG layers significantly impact the structural response. Radial displacement is highly sensitive to radial loading, and positive radial pressure improves buckling resistance. The influence of honeycomb geometry is limited. These insights offer valuable guidance for the optimal design of FG auxetic cylinders in structural and multifunctional applications.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 5","pages":"666 - 680"},"PeriodicalIF":2.7,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-025-00646-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148011990","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

A Thermo-mechanical-oxidation-diffusion Coupled Peridynamic Model for Ablative Behavior of ZrC-Coated C/C Composites zrc包覆C/C复合材料烧蚀行为的热-机械-氧化-扩散耦合动力学模型

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-10-06 DOI: 10.1007/s10338-025-00632-6

Yuanjun Guo, Jun Li, Yuanzhe Li, Hai Mei, Xin Lai, Xiang Liu, Lisheng Liu

{"title":"A Thermo-mechanical-oxidation-diffusion Coupled Peridynamic Model for Ablative Behavior of ZrC-Coated C/C Composites","authors":"Yuanjun Guo, Jun Li, Yuanzhe Li, Hai Mei, Xin Lai, Xiang Liu, Lisheng Liu","doi":"10.1007/s10338-025-00632-6","DOIUrl":"10.1007/s10338-025-00632-6","url":null,"abstract":"<div><p>The ablation behavior of ZrC-coated C/C composites is a complex coupling process involving thermal, mechanical, chemical interactions, formation and propagation of cracks. In the present study, we propose a peridynamic (PD) thermo-mechanical-oxidation-diffusion coupled model to describe such a phenomenon comprehensively. Firstly, motion and heat transfer equations are formulated, incorporating growth strain governed by the Clarke model. The oxidation rate of the material is evaluated using diffusion equilibrium and oxidation equations. In addition, the effects of oxidation on different materials are considered, such as growth strain in ZrC materials and material consumption caused by oxidation of C/C composites. To characterize the material failure caused by mechanical and chemical reactions in ablation, a porosity criterion is proposed and its effect on diffusion is considered. The reliability and accuracy of the proposed PD model are validated by analyzing the oxidation process of C/C composites and ZrC and comparing with experimental results. Further, the model effectively captured the crack propagation and oxidation of ZrC-coated C/C composites in an oxyacetylene environment.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 2","pages":"226 - 240"},"PeriodicalIF":2.7,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337705","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

ESL-Based MMC Topology Optimization of Thin-Walled Stiffened Structures Under Transient Impact Loading 瞬态冲击载荷下薄壁加筋结构基于esl的MMC拓扑优化

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-09-30 DOI: 10.1007/s10338-025-00643-3

Zizhen Guo, Gang Chen, Ang Li, Xue Bai, Weisheng Zhang

{"title":"ESL-Based MMC Topology Optimization of Thin-Walled Stiffened Structures Under Transient Impact Loading","authors":"Zizhen Guo, Gang Chen, Ang Li, Xue Bai, Weisheng Zhang","doi":"10.1007/s10338-025-00643-3","DOIUrl":"10.1007/s10338-025-00643-3","url":null,"abstract":"<div><p>This paper presents an explicit topology optimization method based on the equivalent static load (ESL) method for nonlinear topology optimization of thin-walled stiffened structures under impact loading. This method defines stiffeners as moving morphable components within a Lagrangian geometric framework. By parametrizing geometric characteristics (including reinforcement positions, profiles, and sizes), it enables simultaneous optimization of both topology configurations and geometric layouts. For nonlinear dynamic optimization under impact loads, the ESL method is integrated into the explicit topology optimization framework. Through load equivalence transformation strategy, the complex nonlinear dynamic optimization problem is converted into a series of linear static subproblems, which significantly reduces computational complexity for the design of thin-walled stiffened structures under nonlinear conditions. The proposed method yields optimized design with guaranteed structural dynamic performance with enhanced optimization efficiency. Several numerical examples are presented to demonstrate its effectiveness and engineering applicability.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 5","pages":"635 - 653"},"PeriodicalIF":2.7,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148011984","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

Mechanical Behavior of Deer Antler Under Quasi-static and Dynamic Loading: Experiments and Modeling 准静态和动态载荷作用下鹿角的力学行为：实验与建模

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-09-24 DOI: 10.1007/s10338-025-00639-z

Can Tuncer, Mehmet Orhan

{"title":"Mechanical Behavior of Deer Antler Under Quasi-static and Dynamic Loading: Experiments and Modeling","authors":"Can Tuncer, Mehmet Orhan","doi":"10.1007/s10338-025-00639-z","DOIUrl":"10.1007/s10338-025-00639-z","url":null,"abstract":"<div><p>Both quasi-static and dynamic tests were performed on cortical tissue from naturally shed deer antler. For both loading conditions, indirect Brazilian disc specimens were subjected to loading transverse to the osteon direction. Dynamic Brazilian tests were conducted using a compression Split-Hopkinson Pressure Bar (SHPB), while conventional tensile tests were performed along the primary axis of the osteons. Tensile tests along the osteon axis yielded strengths up to approximately three times higher than those in the transverse direction. The ultimate stress in the dynamic tests was around 90 MPa and exhibited rate sensitivity. Scanning Electron Microscopy (SEM) images revealed that lamellae (both concentric and interstitial) oriented perpendicular to the loading direction did not significantly contribute to the mechanical strength in the indirect tests. This observation was corroborated by the small surface area fraction of the interstitial lamellae within a complete osteon unit. Finally, a constitutive equation was developed to model the elastic and inelastic response of the material under quasi-static tension. This model incorporates the contribution of the interfibrillar matrix to the material’s strength, using realistic parameters consistent with experimental data.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 5","pages":"596 - 609"},"PeriodicalIF":2.7,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148011983","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

Molecular Dynamics Simulation on Compatibility and Microstructure Evolution During Stress-Induced Phase Transformation in NiTi Single Crystal NiTi单晶应力诱导相变过程相容性及微观结构演变的分子动力学模拟

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-09-22 DOI: 10.1007/s10338-025-00638-0

Yi-Fan Li, Wen-Ping Wu, Yong-Jun He, Hao Yin

{"title":"Molecular Dynamics Simulation on Compatibility and Microstructure Evolution During Stress-Induced Phase Transformation in NiTi Single Crystal","authors":"Yi-Fan Li, Wen-Ping Wu, Yong-Jun He, Hao Yin","doi":"10.1007/s10338-025-00638-0","DOIUrl":"10.1007/s10338-025-00638-0","url":null,"abstract":"<div><p>Understanding phase transformation behaviors is essential for the material design of shape memory alloys (SMAs). This paper studies stress-induced phase transformation in single-crystal NiTi SMAs with three orientations (i.e., <span>(:left[0:0:1right])</span>, <span>(:left[1:0:1right])</span>, and <span>(:left[1:1:1right])</span>) using molecular dynamics (MD) simulations. Microstructural evolutions and mechanical responses are analyzed. Results indicate that different orientations promote transformation into martensitic variants with greater atomic-scale transformation strain, resulting in larger phase transformation strains in the stress-strain responses. Subsequently, microstructure compatibility is studied. Patterns after transformation are classified into three types: parallel twins, twin-twin domains, and multiple-twin domains. The specific patterns formed depend on both loading mode and crystal orientation. Further analyses indicate that: (1) all the interfaces obtained in this study satisfy their corresponding twinning equations; (2) the global compatibility analysis shows the [1 0 1] compression model’s cross twinning matches one ideal case, while the [1 1 1] tension model’s triple junction corresponds to four possible cases. This work provides novel insights into microstructure compatibility in differently oriented NiTi single crystal, enhancing understanding of their phase transformation processes.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 3","pages":"329 - 360"},"PeriodicalIF":2.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561101","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

Dynamic Biaxial Tensile Experiment of Cruciform Specimen with Electromagnetically Actuated Punch 十字形试件电磁驱动冲床动态双轴拉伸试验

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-09-08 DOI: 10.1007/s10338-025-00627-3

Wei Liu, Chenhao Xie, Bo Peng, Jiaqi Li, Shangyu Huang

引用次数: 0

A Shell Element Based on SE(3) Group with Precision-Reserved Interpolation for Geometrically Nonlinear Problems 基于SE(3)群的保精度插值壳元求解几何非线性问题

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-08-28 DOI: 10.1007/s10338-025-00637-1

Xinyang Ge, Yancong Wang, Tiantian Tang, Kai Luo

{"title":"A Shell Element Based on SE(3) Group with Precision-Reserved Interpolation for Geometrically Nonlinear Problems","authors":"Xinyang Ge, Yancong Wang, Tiantian Tang, Kai Luo","doi":"10.1007/s10338-025-00637-1","DOIUrl":"10.1007/s10338-025-00637-1","url":null,"abstract":"<div><p>Based on the special Euclidean group <i>SE</i>(3), a geometrically exact shell element is proposed for the analysis of structures undergoing large deformation and finite rotation. First, a unified description of the nodal variables is established within the <i>SE</i>(3) framework, which accurately captures the coupling effect of translation and rotation. However, conventional interpolation schemes on the non-commutative manifold are path-dependent and fail to maintain physical objectivity, which often leads to spurious strain energy. By combining implicit iterative interpolation and explicit relative configuration interpolation, a precision-reserved interpolation scheme is proposed. By applying the logarithmic mapping on the <i>SE</i>(3) manifold, nodal configuration increments are transformed into the left tangent space of the same reference point, eliminating path dependency. Subsequently, the Lagrange interpolation is applied to both the translational and rotational increments in this tangent space, ensuring their <i>C</i>° continuity. Finally, the explicit expressions for the discrete deformation gradients and strains are derived based on the variational principles. Furthermore, the permutation tensor is utilized to handle the variation and linearization of the involved nonlinear mappings. It results in the explicit expression for the geometric stiffness matrix and thus reduces the updating operation of the Jacobian matrix during iterations. Four numerical examples are presented to verify the property of the element in resisting shear locking and its accuracy in handling geometric nonlinear problems of thin-walled or thick-walled structures.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 3","pages":"298 - 315"},"PeriodicalIF":2.7,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561384","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

Topological Edge State of Lamb Waves in Pillared Phononic Crystal Plates 柱状声子晶体板中Lamb波的拓扑边缘态

IF 2.7 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2025-08-20 DOI: 10.1007/s10338-025-00621-9

Lin Chen, Guohua Nie

{"title":"Topological Edge State of Lamb Waves in Pillared Phononic Crystal Plates","authors":"Lin Chen, Guohua Nie","doi":"10.1007/s10338-025-00621-9","DOIUrl":"10.1007/s10338-025-00621-9","url":null,"abstract":"<div>\u0000 \u0000 <p>The Hall effect of elastic waves has attracted much attention due to its unique properties. A hexagonal lattice phononic crystal plate model is designed in this paper. By changing the spatial symmetry of the unit cell, a band gap for the A<sub>0</sub> Lamb wave is opened. The existence of the edge state of the phononic crystal plate is obtained by finite element simulation. It is found that both zigzag-type edge and bridge edge are topological edge states by analysis of the band structure of the supercell. A rectangular model with a straight channel is designed and the simulation results show that the two types of channels are topologically protected only for the A<sub>0</sub> mode Lamb wave but not for the S<sub>0</sub> mode. In addition, the results of numerical simulation are verified by experimental data measured by a laser vibrometer. Finally, it is found that neither upside V-shaped channels nor channels with defects will affect the stable propagation of A<sub>0</sub> Lamb waves along the proposed route. This proposed model and method are helpful in broadening the means of regulating elastic waves in phononic crystal structures, and extending practical application of topological edge states in such structures.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 2","pages":"166 - 175"},"PeriodicalIF":2.7,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147340174","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