Mathematics and Mechanics of Complex Systems最新文献_第7页

Homogenization of nonlinear inextensiblepantographic structures by Γ-convergence 非线性不可扩展受电学结构的均匀化

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2019-04-22 DOI: 10.2140/MEMOCS.2019.7.1

J. Alibert, A. D. Corte

引用次数: 8

Analytical solutions for the natural frequencies of rectangular symmetric angle-ply laminated plates 矩形对称角层合板固有频率的解析解

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2019-04-22 DOI: 10.2140/MEMOCS.2019.7.51

F. Browning, H. Askes

引用次数: 2

A note on Couette flow of micropolar fluidsaccording to Eringen’s theory 根据埃林根理论对微极流体库埃特流的注解

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2019-04-22 DOI: 10.2140/MEMOCS.2019.7.25

Wilhelm Rickert, E. Vilchevskaya, W. Müller

引用次数: 10

Dynamic boundary conditions for membranes whose surface energy depends on the mean and Gaussian curvatures 膜的动态边界条件，其表面能取决于平均和高斯曲率

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-12-17 DOI: 10.2140/memocs.2019.7.131

S. Gavrilyuk, H. Gouin

引用次数: 3

Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations 三维结构中正交异性的非均匀方向:基于扩散方程的有限元描述

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-10-01 DOI: 10.2140/MEMOCS.2018.6.339

R. Allena, C. Cluzel

{"title":"Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations","authors":"R. Allena, C. Cluzel","doi":"10.2140/MEMOCS.2018.6.339","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.339","url":null,"abstract":"Heterogeneous materials such as bone or woven composites show mesostruc-tures whose constitutive elements are all oriented locally in the same direction and channel the stress ﬂow throughout the mechanical structure. The interfaces between such constitutive elements and the matrix are regions of potential degra-dations. Then, when building a numerical model, one has to take into account the local systems of orthotropic coordinates in order to properly describe the damage behavior of such materials. This can be a difﬁcult task if the orthotropic directions constantly change across the complex three-dimensional geometry as is the case for bone structures or woven composites. In the present paper, we propose a ﬁnite element technique to estimate the continuum ﬁeld of orthotropic directions based on the main hypothesis that they are mainly triggered by the external surface of the structure itself and the boundary conditions. We employ two diffusion equations, with speciﬁc boundary conditions, to build the radial and the initial longitudinal unit vectors. Then, to ensure the orthonormality of the basis, we compute the longitudinal, the circumferential, and the radial vectors via a series of vector products. To validate the numerical results, a comparison with the average directions of the experimentally observed Haversian canals is used. Our method is applied here to a human femur.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89070087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 16

A model for interfaces and its mesoscopic limit 界面模型及其介观极限

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-10-01 DOI: 10.2140/MEMOCS.2018.6.267

M. Aleandri, Venanzio Di Giulio

引用次数: 0

A general method for the determination of thelocal orthotropic directions of heterogeneous materials : application to bonestructures using μCT images 一种确定非均质材料局部正交各向异性方向的通用方法:应用于μCT图像的骨结构

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-10-01 DOI: 10.2140/MEMOCS.2018.6.353

C. Cluzel, R. Allena

引用次数: 19

On linear non-local thermo-viscoelastic waves in fluids 流体中的线性非局部热粘弹性波

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-10-01 DOI: 10.2140/MEMOCS.2018.6.321

J. Goddard

{"title":"On linear non-local thermo-viscoelastic waves in fluids","authors":"J. Goddard","doi":"10.2140/MEMOCS.2018.6.321","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.321","url":null,"abstract":"The following is an elaboration on the linear non-local model of viscoelastic fluids proposed in a previous work (Goddard, 2010, Int. J. Eng. Sci. 48, 1279). As a recapitulation of that work, the basic theory is presented in terms of the temporal frequency and spatial wave number in the Laplace-Fourier domain. Taylor-series expansions in these variables provides a weakly non-local theory in spatio-temporal gradients that is more comprehensive than the “bi-velocity” model of Brenner. The linearized Chapman-Enskog kinetic theory is shown to provide a confirmation of the more general theory, from which one can reconstruct a fully non-local integral model. Following the work of Davis and Brenner (2012, J. Acoust. Soc. Am. 132, 2963). the general theory is employed to derive dispersion relations for acoustic, thermal and shear-wave propagation in compressible viscoelastic fluids. At Burnett order the Chapman-Enskog theory gives a cubic polynomial in wave number squared which reduces in the dissipative quasi-static limit to a quadratic like that given by the classical Navier-Stokes-Fourier model and the bi-velocity modification of that model. With minor modification, the present analysis applies to viscoelastic shear and dilatational wave propagation in solids with higher-gradient and Cosserat effects, where it may, for example, find application to the field of rotational seismology.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79707500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

A multiphysics stimulus for continuum mechanics bone remodeling 连续力学骨重塑的多物理场刺激

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-10-01 DOI: 10.2140/MEMOCS.2018.6.307

D. George, R. Allena, Y. Rémond

{"title":"A multiphysics stimulus for continuum mechanics bone remodeling","authors":"D. George, R. Allena, Y. Rémond","doi":"10.2140/MEMOCS.2018.6.307","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.307","url":null,"abstract":"Bone remodelling is a complex phenomenon during which old and damage bone is removed and replaced with new one to ensure the physiological functions of the skeletal system. It involves many biological, mechanical, chemical processes at different scales. The objective of the present work is to predict the kinetics of bone density evolution by taking into account both the mechanical and the biological frameworks. In order to do so, we propose a new computational model in which the global stimulus triggering bone remodelling is the result of the contribution of a mechanical (i.e. external loads and consequent strain energy), a cellular (i.e. osteoblasts and osteoclasts activities) and a molecular (i.e. oxygen and glucose supply) stimulus. The evolution of the bone density depends on the overall behaviour of the global stimulus. More specifically, when the global \u0000stimulus is positive, bone synthesis occurs, whereas when the global stimulus is negative, resorption takes place. Although the theoretical model has been applied on a very simple two-dimensional geometry, the final results provide new insights on the influence of each stimulus on the bone remodelling process. In particular, we confirm that mechanics plays a critical role and affects the kinetics of bone reconstruction, but it highly depends on the biological events and the distribution of bone density.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77986645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 50

Optimal orthotropy and density distribution of two-dimensional structures 二维结构的最佳正交异性和密度分布

IF 1.9

Mathematics and Mechanics of Complex Systems Pub Date : 2018-10-01 DOI: 10.2140/MEMOCS.2018.6.293

Narindra Ranaivomiarana, F. Irisarri, D. Bettebghor, B. Desmorat

引用次数: 1