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Mathematics and Mechanics of Complex Systems最新文献

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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
Around two theorems and a lemma by Lucio Russo 围绕卢西奥·鲁索的两个定理和一个引理
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-05-29 DOI: 10.2140/MEMOCS.2018.6.69
I. Benjamini, G. Kalai
{"title":"Around two theorems and a lemma by Lucio Russo","authors":"I. Benjamini, G. Kalai","doi":"10.2140/MEMOCS.2018.6.69","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.69","url":null,"abstract":"We did not meet Lucio Russo in person but his mathematical work greatly influenced our own and his wide horizons and interests in physics, mathematics, philosophy, and history greatly inspired us. We describe here two directions of study following early work of Russo. The first section follow the famous Russo-Seymour-Welsh theorem regarding critical planar percolation. The second section follows the basic ”Russo’s lemma” and deep ”Russo’s 0-1 law”. In each direction we present one central conjecture.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83935781","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 strain gradient variational approach to damage: a comparison with damage gradient models and numerical results 损伤的应变梯度变分方法:与损伤梯度模型和数值结果的比较
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-05-29 DOI: 10.2140/MEMOCS.2018.6.77
L. Placidi, E. Barchiesi, A. Misra
{"title":"A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results","authors":"L. Placidi, E. Barchiesi, A. Misra","doi":"10.2140/MEMOCS.2018.6.77","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.77","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77293680","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: 155
An arbitrarily shaped Eshelby inclusion interacting with a circular piezoelectric inhomogeneity penetrated by a semi-infinite crack 半无限裂纹穿透的圆形压电非均匀性与任意形状Eshelby夹杂的相互作用
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-05-29 DOI: 10.2140/MEMOCS.2018.6.125
Xu Wang, P. Schiavone
{"title":"An arbitrarily shaped Eshelby inclusion interacting with a circular piezoelectric inhomogeneity penetrated by a semi-infinite crack","authors":"Xu Wang, P. Schiavone","doi":"10.2140/MEMOCS.2018.6.125","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.125","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79416912","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 jets, almost symmetric tensors, and traction hyper-stresses 在喷流上，几乎对称张量，和牵引力超应力
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2017-10-28 DOI: 10.2140/memocs.2018.6.101
R. Segev, J. Sniatycki
{"title":"On jets, almost symmetric tensors, and traction hyper-stresses","authors":"R. Segev, J. Sniatycki","doi":"10.2140/memocs.2018.6.101","DOIUrl":"https://doi.org/10.2140/memocs.2018.6.101","url":null,"abstract":"The paper considers the formulation of higher-order continuum mechanics on differentiable manifolds devoid of any metric or parallelism structure. For generalized velocities modeled as sections of some vector bundle, a variational kth order hyper-stress is an object that acts on jets of generalized velocities to produce power densities. The traction hyper-stress is introduced as an object that induces hyper-traction fields on the boundaries of subbodies. Additional aspects of multilinear algebra relevant to the analysis of these objects are reviewed.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2017-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85935354","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
Effective computation of SO(3) and O(3) linearrepresentation symmetry classes SO(3)和O(3)线性表示对称类的有效计算
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2017-09-06 DOI: 10.2140/memocs.2019.7.203
M. Olive
{"title":"Effective computation of SO(3) and O(3) linear\u0000representation symmetry classes","authors":"M. Olive","doi":"10.2140/memocs.2019.7.203","DOIUrl":"https://doi.org/10.2140/memocs.2019.7.203","url":null,"abstract":"We propose a general algorithm to compute all the symmetry classes of any $mathrm{SO}(3)$ or $mathrm{O}(3)$ linear representation. This method relies on the introduction of a binary operator between sets of conjugacy classes of closed subgroups, called the clips. We compute explicit tables for this operation which allows to solve definitively the problem.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2017-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77243415","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
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