Pub Date : 2021-12-31DOI: 10.2140/memocs.2021.9.413
L. Placidi, M. E. El Sherbiny, P. Baragatti
{"title":"Experimental investigation for the existence of frequency band gap in a microstructure model","authors":"L. Placidi, M. E. El Sherbiny, P. Baragatti","doi":"10.2140/memocs.2021.9.413","DOIUrl":"https://doi.org/10.2140/memocs.2021.9.413","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80650138","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}
Pub Date : 2021-12-31DOI: 10.2140/memocs.2021.9.293
S. Eugster
To study nonlinear wave propagation phenomena in pantographic sheets, we propose a dynamic model that consists of an assembly of interconnected planar nonlinear Euler–Bernoulli beams. The interconnections are either formulated as perfect bilateral constraints or by onedimensional generalized force laws. Accordingly, the spatially discretized system is described by a differential algebraic system of equations, which is solved with an appropriate numerical solution strategy. We analyze various wave propagation phenomena by changing the kind of excitation.
{"title":"Numerical analysis of nonlinear wave propagation\u0000in a pantographic sheet","authors":"S. Eugster","doi":"10.2140/memocs.2021.9.293","DOIUrl":"https://doi.org/10.2140/memocs.2021.9.293","url":null,"abstract":"To study nonlinear wave propagation phenomena in pantographic sheets, we propose a dynamic model that consists of an assembly of interconnected planar nonlinear Euler–Bernoulli beams. The interconnections are either formulated as perfect bilateral constraints or by onedimensional generalized force laws. Accordingly, the spatially discretized system is described by a differential algebraic system of equations, which is solved with an appropriate numerical solution strategy. We analyze various wave propagation phenomena by changing the kind of excitation.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88007825","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}
Pub Date : 2021-10-15DOI: 10.2140/memocs.2021.9.423
D. Benedetto, E. Caglioti, S. Rossi
Many interesting physical systems can be described at the microscopic level as particle dynamics and at the mesoscopic level with kinetic equations. In the wide field of two-body interactions, the link between these two regimes is mathematically well understood in the case of the mean-field limit, i.e. when the density of the particles diverges with their number N , the mean free path vanishes as 1{N and the interaction intensity scales with 1{N . In this limit, each particle feels the interaction with the others as a mean. A rigorous mathematical proof of this result can be done in the case of two-body interactions with sufficiently regular potentials. This classical achievement has been obtained independently by several authors in the ’70s (see [5, 14, 27]) and its explanation is particularly clear in the Dobrushin’s argument [14] where the result follows by noticing that the empirical measure associated with the particle system is a weak solution of the mean-field equation; the proof follows by showing the weak continuity, w.r.t the initial datum, of the weak solutions. Although the theory for regular pairwise interactions is sufficiently well understood, going beyond it considering singular potentials, is instead a harder task. This is the case of the three-dimensional VlasovPoisson equation, which is the most important equation of plasma physics and of galactic dynamics, based on the choice of the Coulomb or Newton potential, respectively. In this equation, the potential 1{r is singular at the origin and does not belong to any L space. Although the mean-field limit for the Vlasov-Poisson equation remains an open
{"title":"Mean-field limit for particle systems with topological interactions","authors":"D. Benedetto, E. Caglioti, S. Rossi","doi":"10.2140/memocs.2021.9.423","DOIUrl":"https://doi.org/10.2140/memocs.2021.9.423","url":null,"abstract":"Many interesting physical systems can be described at the microscopic level as particle dynamics and at the mesoscopic level with kinetic equations. In the wide field of two-body interactions, the link between these two regimes is mathematically well understood in the case of the mean-field limit, i.e. when the density of the particles diverges with their number N , the mean free path vanishes as 1{N and the interaction intensity scales with 1{N . In this limit, each particle feels the interaction with the others as a mean. A rigorous mathematical proof of this result can be done in the case of two-body interactions with sufficiently regular potentials. This classical achievement has been obtained independently by several authors in the ’70s (see [5, 14, 27]) and its explanation is particularly clear in the Dobrushin’s argument [14] where the result follows by noticing that the empirical measure associated with the particle system is a weak solution of the mean-field equation; the proof follows by showing the weak continuity, w.r.t the initial datum, of the weak solutions. Although the theory for regular pairwise interactions is sufficiently well understood, going beyond it considering singular potentials, is instead a harder task. This is the case of the three-dimensional VlasovPoisson equation, which is the most important equation of plasma physics and of galactic dynamics, based on the choice of the Coulomb or Newton potential, respectively. In this equation, the potential 1{r is singular at the origin and does not belong to any L space. Although the mean-field limit for the Vlasov-Poisson equation remains an open","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2021-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82569583","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}
Pub Date : 2020-11-09DOI: 10.2140/memocs.2020.8.287
D. George, R. Allena, C. Bourzac, S. Pallu, M. Bensidhoum, H. Portier, Y. Rémond
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity Rachele Allena, Daniel George, Céline Bourzac, Stéphane Pallu, Yves Rémond, Morad Bensidhoum, Hugues Portier
{"title":"A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity","authors":"D. George, R. Allena, C. Bourzac, S. Pallu, M. Bensidhoum, H. Portier, Y. Rémond","doi":"10.2140/memocs.2020.8.287","DOIUrl":"https://doi.org/10.2140/memocs.2020.8.287","url":null,"abstract":"HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity Rachele Allena, Daniel George, Céline Bourzac, Stéphane Pallu, Yves Rémond, Morad Bensidhoum, Hugues Portier","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80773503","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}
Pub Date : 2019-08-10DOI: 10.2140/MEMOCS.2019.7.189
M. Guzev, G. Tsitsiashvili, M. Osipova
{"title":"The object detection by autonomous apparatus as a solution of the Buffon needle problem","authors":"M. Guzev, G. Tsitsiashvili, M. Osipova","doi":"10.2140/MEMOCS.2019.7.189","DOIUrl":"https://doi.org/10.2140/MEMOCS.2019.7.189","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2019-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74804883","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}
Pub Date : 2019-08-10DOI: 10.2140/MEMOCS.2019.7.175
Ksenia Frolova, P. Grigoreva, Konstantin Lezhnev, G. Paderin
{"title":"A model of the proppant flowback: setup of the theoretical framework","authors":"Ksenia Frolova, P. Grigoreva, Konstantin Lezhnev, G. Paderin","doi":"10.2140/MEMOCS.2019.7.175","DOIUrl":"https://doi.org/10.2140/MEMOCS.2019.7.175","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2019-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84285311","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}
Pub Date : 2019-05-27DOI: 10.2140/MEMOCS.2019.7.159
I. Giorgio, D. Vescovo
{"title":"Energy-based trajectory tracking and vibration control for multilink highly flexible manipulators","authors":"I. Giorgio, D. Vescovo","doi":"10.2140/MEMOCS.2019.7.159","DOIUrl":"https://doi.org/10.2140/MEMOCS.2019.7.159","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2019-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80370163","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}
Pub Date : 2019-05-27DOI: 10.2140/MEMOCS.2019.7.99
Eduard Penner, I. Caylak, A. Dridger, R. Mahnken
{"title":"A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics","authors":"Eduard Penner, I. Caylak, A. Dridger, R. Mahnken","doi":"10.2140/MEMOCS.2019.7.99","DOIUrl":"https://doi.org/10.2140/MEMOCS.2019.7.99","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2019-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89853058","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}
Pub Date : 2019-04-22DOI: 10.2140/MEMOCS.2019.7.75
S. Eugster, F. dell’Isola, D. Steigmann
A three-dimensional continuum theory for fibrous mechanical metamaterials is proposed, in which the fibers are assumed to be spatial Kirchhoff rods whose mechanical response is controlled by a deformation field and a rotation field, the former accounting for strain of the rod and the latter for flexure and twist of the rod as it deforms. This leads naturally to a model based on Cosserat elasticity. Rigidity constraints are introduced that effectively reduce the model to a variant of second-gradient elasticity theory.
{"title":"Continuum theory for mechanical metamaterials with a cubic lattice substructure","authors":"S. Eugster, F. dell’Isola, D. Steigmann","doi":"10.2140/MEMOCS.2019.7.75","DOIUrl":"https://doi.org/10.2140/MEMOCS.2019.7.75","url":null,"abstract":"A three-dimensional continuum theory for fibrous mechanical metamaterials is proposed, in which the fibers are assumed to be spatial Kirchhoff rods whose mechanical response is controlled by a deformation field and a rotation field, the former accounting for strain of the rod and the latter for flexure and twist of the rod as it deforms. This leads naturally to a model based on Cosserat elasticity. Rigidity constraints are introduced that effectively reduce the model to a variant of second-gradient elasticity theory.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2019-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78078006","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}
Pub Date : 2019-04-22DOI: 10.2140/MEMOCS.2019.7.63
F. Messelmi
{"title":"On the blocking limit of steady-state flow of\u0000Herschel–Bulkley fluid","authors":"F. Messelmi","doi":"10.2140/MEMOCS.2019.7.63","DOIUrl":"https://doi.org/10.2140/MEMOCS.2019.7.63","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2019-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86620059","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}
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