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Mathematics and Mechanics of Complex Systems最新文献

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Isometric deformations of surfaces of translation 平移表面的等距变形
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2023-10-12 DOI: 10.2140/memocs.2024.12.1
Hussein Nassar
{"title":"Isometric deformations of surfaces of translation","authors":"Hussein Nassar","doi":"10.2140/memocs.2024.12.1","DOIUrl":"https://doi.org/10.2140/memocs.2024.12.1","url":null,"abstract":"A emph{surface of translation} is a sum $(u,v)mapstogtalpha(u)+gtbeta(v)$ of two space curves: a emph{path} $gtalpha$ and a emph{profile} $gtbeta$. A fundamental problem of differential geometry and shell theory is to determine the ways in which surfaces deform isometrically, i.e., by bending without stretching. Here, we explore how surfaces of translation bend. Existence conditions and closed-form expressions for special bendings of the infinitesimal and finite kinds are provided. In particular, all surfaces of translation admit a purely torsional infinitesimal bending. Surfaces of translation whose path and profile belong to an elliptic cone or to two planes but never to their intersection further admit a torsion-free infinitesimal bending. Should the planes be orthogonal, the infinitesimal bending can be integrated into a torsion-free (finite) bending. Surfaces of translation also admit a torsion-free bending if the path or profile has exactly two tangency directions. Throughout, smooth and piecewise smooth surfaces, i.e., surfaces with straight or curved creases, are invariably dealt with and some extra care is given to situations where the bendings cause new creases to emerge.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"17 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139320177","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
Microcanonical phase transitions for the vortex system 涡旋系统的微观经典相变
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2023-07-01 DOI: 10.2140/memocs.2024.12.85
D. Benedetto, E. Caglioti, M. Nolasco
{"title":"Microcanonical phase transitions for the vortex system","authors":"D. Benedetto, E. Caglioti, M. Nolasco","doi":"10.2140/memocs.2024.12.85","DOIUrl":"https://doi.org/10.2140/memocs.2024.12.85","url":null,"abstract":"We consider the Microcanonical Variational Principle for the vortex system in a bounded domain. In particular we are interested in the thermodynamic properties of the system in domains of second kind, i.e. for which the equivalence of ensembles does not hold. For connected domains close to the union of disconnected disks (dumbbell domains), we show that the system may exhibit an arbitrary number of fist-order phase transitions, while the entropy is convex for large energy.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"9 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139364897","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
Condorcet’s enlightenment in the age ofalternative facts : A review of Francesco dell’Isola’s book Big-(wo)men, tyrants,chiefs, dictators, emperors and presidents 孔多塞在另类事实时代的启蒙:弗朗西斯科·德·伊索拉《大(二)人、暴君、酋长、独裁者、皇帝和总统》述评
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-31 DOI: 10.2140/memocs.2022.10.389
Aviral Misra, Anil Misra
{"title":"Condorcet’s enlightenment in the age of\u0000alternative facts : A review of Francesco dell’Isola’s book Big-(wo)men, tyrants,chiefs, dictators, emperors and presidents","authors":"Aviral Misra, Anil Misra","doi":"10.2140/memocs.2022.10.389","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.389","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"3 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89202227","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
Anisotropic structure of two-dimensional linear Cosserat elasticity 二维线性Cosserat弹性的各向异性结构
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-31 DOI: 10.2140/memocs.2022.10.321
N. Auffray, Saad El Ouafa, G. Rosi, B. Desmorat
{"title":"Anisotropic structure of two-dimensional linear Cosserat elasticity","authors":"N. Auffray, Saad El Ouafa, G. Rosi, B. Desmorat","doi":"10.2140/memocs.2022.10.321","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.321","url":null,"abstract":". In the present contribution the anisotropic structure of the two-dimensional linear Cosserat elasticity is investigated. The symmetry classes of this model are derived and detailed in a synthetic way. Particular attention is paid to specific features of Cosserat Elasticity which are the sensitivity to non-centrosymmetry as well as to chirality. These aspects are important for the application of this continuum theory to the mechanical modelling of lattices and metamaterials. In order to give a parameterisation to the Cosserat constitutive law, an explicit harmonic decomposition of its constitutive tensors is provided. Finally, using an algorithm introduced in a side paper, a minimal integrity basis, which is the minimal set of polynomial invariants generating the algebra of O(2)-invariant polynomials, is finally reported.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"43 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74095949","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
Decomposition method for reliability analysis of structural systems 结构体系可靠度分析的分解方法
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-31 DOI: 10.2140/memocs.2022.10.357
Filippo Sangiorgio
{"title":"Decomposition method for reliability analysis of structural systems","authors":"Filippo Sangiorgio","doi":"10.2140/memocs.2022.10.357","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.357","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"244 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72867153","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
Ductile void growing in micromorphic GLPD porous plastic solids containing two populations of cavities with different sizes 在含有两种不同大小空腔的微晶GLPD多孔塑性固体中生长的延展性空洞
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-31 DOI: 10.2140/memocs.2022.10.395
R. Burson, K. Enakoutsa
{"title":"Ductile void growing in micromorphic GLPD porous plastic solids containing two populations of cavities with different sizes","authors":"R. Burson, K. Enakoutsa","doi":"10.2140/memocs.2022.10.395","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.395","url":null,"abstract":"Gologanu, Leblond, Perrin, and Devaux (GLPD) developed a constitutive model for ductile fracture for porous metals based on generalized continuum mechanics assump-tions. The model predicted with high accuracy ductile fracture process in porous metals subjected to several complex loads. The GLDP model performances over its competitors has attracted the attention of several authors who explored additional capabilities of the model. This paper provides analytical solutions for the problem of a porous hollow sphere subjected to hydrostatic loadings, the matrix of the hollow sphere obeying the GLPD model. The exact solution for the expressions of the stress and the generalized stress the GLPD model involved are illustrated for the case where the matrix material does not contain any voids. The results show that the singularities obtained in the stress distribution with the local Gurson model are smoothed out, as expected with any generalized continuum model. The paper also presents some elements of the analytical solution for the case where the matrix is porous and obeys the full GLPD model at the initial time when the porosity is fixed. The later analytical solution can serve to predict the mechanisms of ductile fracture in porous ductile solids with two populations of cavities with different sizes.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"34 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79977120","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
Modeling and experimental validation of the elastic modulus of polysulfone membranes reinforced with cellulose nanofibers 纤维素纳米纤维增强聚砜膜弹性模量的建模与实验验证
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-31 DOI: 10.2140/memocs.2022.10.413
Reema H Alasfar, S. Ahzi, N. Barth, V. Kochkodan, M. Koç
{"title":"Modeling and experimental validation of the elastic modulus of polysulfone membranes reinforced with cellulose nanofibers","authors":"Reema H Alasfar, S. Ahzi, N. Barth, V. Kochkodan, M. Koç","doi":"10.2140/memocs.2022.10.413","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.413","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"2 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75469321","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
Numerical evidence for the approximation of dissipative systems by gyroscopically coupled oscillator chains 陀螺耦合振子链近似耗散系统的数值证据
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-04 DOI: 10.2140/memocs.2022.10.265
A. M. Bersani, Paolo Caressa, A. Ciallella
{"title":"Numerical evidence for the approximation of dissipative systems by gyroscopically coupled oscillator chains","authors":"A. M. Bersani, Paolo Caressa, A. Ciallella","doi":"10.2140/memocs.2022.10.265","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.265","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"79 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82466754","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
Adaptive chaos synchronization of a mechanical system with disturbances and uncertainties 具有扰动和不确定性的机械系统的自适应混沌同步
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-04 DOI: 10.2140/memocs.2022.10.245
Pikaso Pal, Vivek Mukherjee, Gang-Gyoo Jin
{"title":"Adaptive chaos synchronization of a mechanical system with disturbances and uncertainties","authors":"Pikaso Pal, Vivek Mukherjee, Gang-Gyoo Jin","doi":"10.2140/memocs.2022.10.245","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.245","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"88 12 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84062074","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
Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions, I 标准边界条件与附加边界条件解耦的两步微分法非局部应变梯度弹性梁模型
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2022-12-04 DOI: 10.2140/memocs.2022.10.205
C. Polizzotto, P. Fuschi, A. Pisano
{"title":"Nonlocal strain gradient elastic beam models with two-step differential approach and decoupling of standard and extra boundary conditions, I","authors":"C. Polizzotto, P. Fuschi, A. Pisano","doi":"10.2140/memocs.2022.10.205","DOIUrl":"https://doi.org/10.2140/memocs.2022.10.205","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"18 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2022-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88033403","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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