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Mathematics and Mechanics of Complex Systems最新文献

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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
{"title":"A model for interfaces and its mesoscopic limit","authors":"M. Aleandri, Venanzio Di Giulio","doi":"10.2140/MEMOCS.2018.6.267","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.267","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"46 S1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72559432","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: 0
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":"32 1","pages":""},"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 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
{"title":"A general method for the determination of the\u0000local orthotropic directions of heterogeneous materials : application to bone\u0000structures using μCT images","authors":"C. Cluzel, R. Allena","doi":"10.2140/MEMOCS.2018.6.353","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.353","url":null,"abstract":"To assess the degree (i.e., isotropy, transverse isotropy, or orthotropy) and the directions of anisotropy of a three-dimensional structure, information about its mesostructure is necessary. Usually, a topological analysis of computed tomography or microcomputed tomography images is performed and requires an interpretation of the constitutive elements of the three-dimensional structure, which may lead to a simplistic description of the geometry. In this paper we propose an alternative technique based on a geometric tensor and we use it to analyze 38 representative elementary volumes extracted from 24 specimens of cortical bone in a human femur whose geometries have been reconstructed via microcomputed tomography images.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"15 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73988549","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: 19
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":"12 1","pages":""},"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
{"title":"Optimal orthotropy and density distribution of two-dimensional structures","authors":"Narindra Ranaivomiarana, F. Irisarri, D. Bettebghor, B. Desmorat","doi":"10.2140/MEMOCS.2018.6.293","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.293","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"6 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91147086","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: 1
On the effect of phase transition on the manifold dimensionality: application to the Ising model 相变对流维的影响:在Ising模型中的应用
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-07-26 DOI: 10.2140/MEMOCS.2018.6.251
Elena Lopez Tomas, A. Scheuer, E. Abisset-Chavanne, F. Chinesta
{"title":"On the effect of phase transition on the manifold dimensionality: application to the Ising model","authors":"Elena Lopez Tomas, A. Scheuer, E. Abisset-Chavanne, F. Chinesta","doi":"10.2140/MEMOCS.2018.6.251","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.251","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"56 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89164525","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: 5
Strain gradient and generalized continua obtained by homogenizing frame lattices 均质化框架格得到应变梯度和广义连续体
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-07-26 DOI: 10.2140/MEMOCS.2018.6.213
H. Abdoul-Anziz, P. Seppecher
{"title":"Strain gradient and generalized continua obtained by homogenizing frame lattices","authors":"H. Abdoul-Anziz, P. Seppecher","doi":"10.2140/MEMOCS.2018.6.213","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.213","url":null,"abstract":"We determine the effective behavior of periodic structures made of welded elastic bars. Taking into account the fact that flexural and torsional stiffnesses are much smaller than the extensional one we overpass classical homogenization formula and obtain totally different types of effective energies. We work in the framework of linear elasticity. We give different examples of two dimensional or three dimensional micro-structures which lead to generalized 1D, 2D or 3D continua like Timoshenko beam, Mindlin-Reissner plate, strain gradient, Cosserat, or micromorphic continua.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"149 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77209870","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: 142
The variational structure of classical plasticity 经典塑性的变分结构
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-07-26 DOI: 10.2140/memocs.2018.6.137
Gianpietro Del Piero
{"title":"The variational structure of classical plasticity","authors":"Gianpietro Del Piero","doi":"10.2140/memocs.2018.6.137","DOIUrl":"https://doi.org/10.2140/memocs.2018.6.137","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"2 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82963368","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: 15
Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space 初应力弹性半空间上各向异性层剪切应力不连续引起的sh型波的产生
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-07-26 DOI: 10.2140/MEMOCS.2018.6.201
S. Kumar, D. Mandal
{"title":"Generation of SH-type waves due to shearing stress discontinuity in an anisotropic layer overlying an initially stressed elastic half-space","authors":"S. Kumar, D. Mandal","doi":"10.2140/MEMOCS.2018.6.201","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.201","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"132 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80443388","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
Far-reaching Hellenistic geographical knowledgehidden in Ptolemy’s data 深远的希腊地理知识隐藏在托勒密的数据中
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-07-26 DOI: 10.2140/MEMOCS.2018.6.181
L. Russo
{"title":"Far-reaching Hellenistic geographical knowledge\u0000hidden in Ptolemy’s data","authors":"L. Russo","doi":"10.2140/MEMOCS.2018.6.181","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.181","url":null,"abstract":"The paper summarizes and discusses the main theses exposed in a previous book (L' America dimenticata, Mondadori Universita, 2013 [in Italian]) in light of more recent results. Specifically, the work addresses the problem of explaining the origin of the systematic error on longitudes in Ptolemy's Geographia and its logical relation with the reduced estimate for the dimension of the Earth there given. The thesis is sustained that, conversely to a frequently advanced conjecture, the shrinking of the dimension of the Earth is a consequence of the scale error on the longitudes, which, in turn, was originated by a misidentification of the Islands of the Blessed. The location of the Islands of the Blessed according the source of Ptolemy is identified in the Caribbean. The analysis of a passage by Pliny provides an independent and quantitative confirmation of the proposed identification, which sheds new light on possible contact among civilizations.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"90 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77901468","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: 1
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