Applied Mathematics and Mechanics-English Edition最新文献_第5页

Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites 软纤维增强复合材料方向相关大弹性应变响应的精确模拟

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-01 DOI: 10.1007/s10483-023-3032-6

Huifeng Xi, Guicheng Zhao, O. Bruhns, Siyu Wang, Heng Xiao

引用次数: 0

A rescaling algorithm for multi-relaxation-time lattice Boltzmann method towards turbulent flows with complex configurations 复杂构型湍流多松弛时间点阵玻尔兹曼方法的重标度算法

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-01 DOI: 10.1007/s10483-023-3028-9

Haoyang Li, Weijian Liu, Yuhong Dong

{"title":"A rescaling algorithm for multi-relaxation-time lattice Boltzmann method towards turbulent flows with complex configurations","authors":"Haoyang Li, Weijian Liu, Yuhong Dong","doi":"10.1007/s10483-023-3028-9","DOIUrl":"10.1007/s10483-023-3028-9","url":null,"abstract":"<div><p>Understanding and modeling flows over porous layers are of great industrial significance. To accurately solve the turbulent multi-scale flows on complex configurations, a rescaling algorithm designed for turbulent flows with the Chapman-Enskog analysis is proposed. The mesh layout and the detailed rescaling procedure are also introduced. Direct numerical simulations (DNSs) for a turbulent channel flow and a porous walled turbulent channel flow are performed with the three-dimensional nineteen-velocity (D3Q19) multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) to validate the accuracy, adaptability, and computational performance of the present rescaling algorithm. The results, which are consistent with the previous DNS studies based on the finite difference method and the LBM, demonstrate that the present method can maintain the continuity of the macro values across the grid interface and is able to adapt to complex geometries. The reasonable time consumption of the rescaling procedure shows that the present method can accurately calculate various turbulent flows with multi-scale and complex configurations while maintaining high computational efficiency.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 9","pages":"1597 - 1612"},"PeriodicalIF":4.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50001186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals 一维正交准晶中不对称裂纹椭圆孔问题的Dugdale-Barenblatt模型

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-08-08 DOI: 10.1007/s10483-023-3027-8

Jing Zhang, Guanting Liu

引用次数: 0

Partial wetting of the soft elastic graded substrate due to elastocapillary deformation 弹性毛细管变形引起的软弹性梯度基材部分润湿

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3019-8

Xu Wang, Hailiang Ma, Yonglin Yang, Xing Li, Yueting Zhou

引用次数: 0

Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits 具有周期分流电路的压电介质中表面波的理论分析

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3011-7

Youqi Zhang, Rongyu Xia, Jie Xu, Kefu Huang, Zheng Li

{"title":"Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits","authors":"Youqi Zhang, Rongyu Xia, Jie Xu, Kefu Huang, Zheng Li","doi":"10.1007/s10483-023-3011-7","DOIUrl":"10.1007/s10483-023-3011-7","url":null,"abstract":"<div><p>The investigations of surface waves in the piezoelectric medium bring out great possibility in designing smart surface acoustic wave (SAW) devices. It is important to study the dispersion properties and manipulation mechanism of surface waves in the semi-infinite piezoelectric medium connected with periodic arrangement of shunting circuits. In this study, the extended Stroh formalism is developed to theoretically analyze the dispersion relations of surface waves under different external circuits. The band structures of both the Rayleigh wave and the Bleustein-Gulyaev (BG) wave can be determined and manipulated with proper electrical boundary conditions. Furthermore, the electromechanical coupling effects on the band structures of surface waves are discussed to figure out the manipulation mechanism of adjusting electric circuit. The results indicate that the proposed method can explain the propagation behaviors of surface waves under the periodic electrical boundary conditions, and can provide an important theoretical guidance for designing novel SAW devices and exploring extensive applications in practice.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 8","pages":"1287 - 1304"},"PeriodicalIF":4.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3011-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate 夹层功能梯度压电半导体板的多场耦合和自由振动

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3017-6

Xueqian Fang, Qilin He, Hongwei Ma, Changsong Zhu

{"title":"Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate","authors":"Xueqian Fang, Qilin He, Hongwei Ma, Changsong Zhu","doi":"10.1007/s10483-023-3017-6","DOIUrl":"10.1007/s10483-023-3017-6","url":null,"abstract":"<div><p>Sandwiched functionally-graded piezoelectric semiconductor (FGPS) plates possess high strength and excellent piezoelectric and semiconductor properties, and have significant potential applications in micro-electro-mechanical systems. The multi-field coupling and free vibration of a sandwiched FGPS plate are studied, and the governing equation and natural frequency are derived with the consideration of electron movement. The material properties in the functionally-graded layers are assumed to vary smoothly, and the first-order shear deformation theory is introduced to derive the multi-field coupling in the plate. The total strain energy of the plate is obtained, and the governing equations are presented by using Hamilton’s principle. By introducing the boundary conditions, the coupling physical fields are solved. In numerical examples, the natural frequencies of sandwiched FGPS plates under different geometrical and physical parameters are discussed. It is found that the initial electron density can be used to modulate the natural frequencies and vibrational displacement of sandwiched FGPS plates in the case of nano-size. The effects of the material properties of FGPS layers on the natural frequencies are also examined in detail.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 8","pages":"1351 - 1366"},"PeriodicalIF":4.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3017-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 2

Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix 弹性基体中考虑热电效应和表面效应的准晶微球的解析解

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3018-5

Yunzhi Huang, Wenqing Zheng, Xiuhua Chen, Miaolin Feng

{"title":"Analytic solution of quasicrystal microsphere considering the thermoelectric effect and surface effect in the elastic matrix","authors":"Yunzhi Huang, Wenqing Zheng, Xiuhua Chen, Miaolin Feng","doi":"10.1007/s10483-023-3018-5","DOIUrl":"10.1007/s10483-023-3018-5","url":null,"abstract":"<div><p>The incorporation of the quasicrystalline phase into the metal matrix offers a wide range of potential applications in particle-reinforced metal-matrix composites. The analytic solution of the piezoelectric quasicrystal (QC) microsphere considering the thermoelectric effect and surface effect contained in the elastic matrix is presented in this study. The governing equations for the QC microsphere in the matrix subject to the external electric loading are derived based on the nonlocal elastic theory, electro-elastic interface theory, and eigenvalue method. A comparison between the existing results and the finite-element simulation validates the present approach. Numerical examples reveal the effects of temperature variation, nonlocal parameters, surface properties, elastic coefficients, and phason coefficients on the phonon, phason, and electric fields. The results indicate that the QC microsphere enhances the mechanical properties of the matrix. The results are useful for the design and understanding of the characterization of QCs in micro-structures.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 8","pages":"1331 - 1350"},"PeriodicalIF":4.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Analysis of fracture propagation and shale gas production by intensive volume fracturing 密集体积压裂裂缝扩展与页岩气生产分析

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3021-6

Qingdong Zeng, Long Bo, Lijun Liu, Xuelong Li, Jianmeng Sun, Zhaoqin Huang, Jun Yao

{"title":"Analysis of fracture propagation and shale gas production by intensive volume fracturing","authors":"Qingdong Zeng, Long Bo, Lijun Liu, Xuelong Li, Jianmeng Sun, Zhaoqin Huang, Jun Yao","doi":"10.1007/s10483-023-3021-6","DOIUrl":"10.1007/s10483-023-3021-6","url":null,"abstract":"<div><p>This paper presents an integrated study from fracture propagation modeling to gas flow modeling and a correlation analysis to explore the key controlling factors of intensive volume fracturing. The fracture propagation model takes into account the interaction between hydraulic fracture and natural fracture by means of the displacement discontinuity method (DDM) and the Picard iterative method. The shale gas flow considers multiple transport mechanisms, and the flow in the fracture network is handled by the embedded discrete fracture model (EDFM). A series of numerical simulations are conducted to analyze the effects of the cluster number, stage spacing, stress difference coefficient, and natural fracture distribution on the stimulated fracture area, fractal dimension, and cumulative gas production, and their correlation coefficients are obtained. The results show that the most influential factors to the stimulated fracture area are the stress difference ratio, stage spacing, and natural fracture density, while those to the cumulative gas production are the stress difference ratio, natural fracture density, and cluster number. This indicates that the stress condition dominates the gas production, and employing intensive volume fracturing (by properly increasing the cluster number) is beneficial for improving the final cumulative gas production.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 8","pages":"1385 - 1408"},"PeriodicalIF":4.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A symplectic finite element method based on Galerkin discretization for solving linear systems 求解线性系统的一种基于Galerkin离散化的辛有限元方法

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3012-5

Zhiping Qiu, Zhao Wang, Bo Zhu

{"title":"A symplectic finite element method based on Galerkin discretization for solving linear systems","authors":"Zhiping Qiu, Zhao Wang, Bo Zhu","doi":"10.1007/s10483-023-3012-5","DOIUrl":"10.1007/s10483-023-3012-5","url":null,"abstract":"<div><p>We propose a novel symplectic finite element method to solve the structural dynamic responses of linear elastic systems. For the dynamic responses of continuous medium structures, the traditional numerical algorithm is the dissipative algorithm and cannot maintain long-term energy conservation. Thus, a symplectic finite element method with energy conservation is constructed in this paper. A linear elastic system can be discretized into multiple elements, and a Hamiltonian system of each element can be constructed. The single element is discretized by the Galerkin method, and then the Hamiltonian system is constructed into the Birkhoffian system. Finally, all the elements are combined to obtain the vibration equation of the continuous system and solved by the symplectic difference scheme. Through the numerical experiments of the vibration response of the Bernoulli-Euler beam and composite plate, it is found that the vibration response solution and energy obtained with the algorithm are superior to those of the Runge-Kutta algorithm. The results show that the symplectic finite element method can keep energy conservation for a long time and has higher stability in solving the dynamic responses of linear elastic systems.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 8","pages":"1305 - 1316"},"PeriodicalIF":4.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Finite deformation analysis of the rotating cylindrical hollow disk composed of functionally-graded incompressible hyper-elastic material 功能梯度不可压缩超弹性材料旋转圆柱空心圆盘的有限变形分析

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI: 10.1007/s10483-023-3014-6

Libiao Xin, Yang Wang, Zhiqiang Li, Y. B. Li

{"title":"Finite deformation analysis of the rotating cylindrical hollow disk composed of functionally-graded incompressible hyper-elastic material","authors":"Libiao Xin, Yang Wang, Zhiqiang Li, Y. B. Li","doi":"10.1007/s10483-023-3014-6","DOIUrl":"10.1007/s10483-023-3014-6","url":null,"abstract":"<div><p>The deformations and stresses of a rotating cylindrical hollow disk made of incompressible functionally-graded hyper-elastic material are theoretically analyzed based on the finite elasticity theory. The hyper-elastic material is described by a new micro-macro transition model. Specially, the material shear modulus and density are assumed to be a function with a power law form through the radial direction, while the material inhomogeneity is thus reflected on the power index <i>m</i>. The integral forms of the stretches and stress components are obtained. With the obtained complicated integral forms, the composite trapezoidal rule is utilized to derive the analytical solutions, and the explicit solutions for both the stretches and the stress components are numerically obtained. By comparing the results with two classic models, the superiority of the model in our work is demonstrated. Then, the distributions of the stretches and normalized stress components are discussed in detail under the effects of <i>m</i>. The results indicate that the material inhomogeneity and the rotating angular velocity have significant effects on the distributions of the normalized radial and hoop stress components and the stretches. We believe that by appropriately choosing the material inhomogeneity and configuration parameters, the functionally-graded material (FGM) hyper-elastic hollow cylindrical disk can be designed to meet some unique requirements in the application fields, e.g., soft robotics, medical devices, and conventional aerospace and mechanical industries.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 8","pages":"1367 - 1384"},"PeriodicalIF":4.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50104443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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