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Quarterly Journal of Mechanics and Applied Mathematics最新文献

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Scattering of water waves by an inclined porous plate submerged in ocean with ice cover 有冰覆盖的海洋中倾斜多孔板对水波的散射
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2016-05-01 DOI: 10.1093/QJMAM/HBW004
D. Mondal, S. Banerjea
{"title":"Scattering of water waves by an inclined porous plate submerged in ocean with ice cover","authors":"D. Mondal, S. Banerjea","doi":"10.1093/QJMAM/HBW004","DOIUrl":"https://doi.org/10.1093/QJMAM/HBW004","url":null,"abstract":"","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"69 1","pages":"195-213"},"PeriodicalIF":0.9,"publicationDate":"2016-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBW004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61241219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Analytical solutions for Hele-Shaw moving boundary flows in the presence of a circular cylinder 圆柱存在下Hele-Shaw移动边界流的解析解
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2016-02-01 DOI: 10.1093/QJMAM/HBV019
Jonathan S. Marshall
{"title":"Analytical solutions for Hele-Shaw moving boundary flows in the presence of a circular cylinder","authors":"Jonathan S. Marshall","doi":"10.1093/QJMAM/HBV019","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV019","url":null,"abstract":"","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"69 1","pages":"1-33"},"PeriodicalIF":0.9,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV019","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61241190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids 各向异性或预应力不可压缩固体的显式强椭圆性条件
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2016-02-01 DOI: 10.1093/QJMAM/HBV017
A. V. Pichugin, D. Prikazchikov
{"title":"Remarks on explicit strong ellipticity conditions for anisotropic or pre-stressed incompressible solids","authors":"A. V. Pichugin, D. Prikazchikov","doi":"10.1093/QJMAM/HBV017","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV017","url":null,"abstract":"The first author’s work and the second author’s visit to Brunel University were partly supported by \u0000Brunel University’s ‘BRIEF’ award scheme.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"14 1","pages":"67-81"},"PeriodicalIF":0.9,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV017","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61240070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Exact solutions for Hele-Shaw free boundary flows around a flat plate of finite length 有限长度平板周围Hele-Shaw自由边界流动的精确解
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2016-02-01 DOI: 10.1093/QJMAM/HBV018
Jonathan S. Marshall
{"title":"Exact solutions for Hele-Shaw free boundary flows around a flat plate of finite length","authors":"Jonathan S. Marshall","doi":"10.1093/QJMAM/HBV018","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV018","url":null,"abstract":"","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"69 1","pages":"35-66"},"PeriodicalIF":0.9,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV018","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61241090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A fundamental model exhibiting non-linear oscillatory dynamics in solid oxide fuel cells—the effects of fuel stream humidification 固体氧化物燃料电池非线性振荡动力学的基本模型——燃料流加湿效应
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2016-02-01 DOI: 10.1093/QJMAM/HBV020
J. Sands, J. Uddin, D. Needham
{"title":"A fundamental model exhibiting non-linear oscillatory dynamics in solid oxide fuel cells—the effects of fuel stream humidification","authors":"J. Sands, J. Uddin, D. Needham","doi":"10.1093/QJMAM/HBV020","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV020","url":null,"abstract":"In this article, we address the phenomenon of temporal, self-sustained oscillations for a solid oxide fuel cell which utilises a humidified methane fuel stream. Our objective is to uncover the fundamental mechanisms giving rise to current oscillations that have been observed experimentally. To this end, we develop a model based on the fundamental chemical kinetics and transfer processes which take place within the fuel cell. This leads to a three-dimensional dynamical system, which, under typical operating conditions, is rationally reducible to a planar dynamical system. This planar dynamical system was studied in (Sands et al., Proc. R. Soc. Lond. A 470 (2014)) for the case where the parameter c̄0 1, corresponding with a weakly humidified fuel stream. In the present article, the structural dynamics of the planar dynamical system for the case where the parameter c̄0 = O(1), which corresponds with a humidified fuel stream, are studied in detail. Self-sustained oscillations are shown to arise through Hopf bifurcations in this planar dynamical system, and the key parameter ranges for the occurrence of such oscillations are identified. Fuel stream humidification is also shown to significantly alter the fuel cell dynamics, leading to hysteresis.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"69 1","pages":"83-113"},"PeriodicalIF":0.9,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV020","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61241192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Generation of long waves by an oscillating line source above a flat beach of angle α=π/2M,M∈Z: the 3-d Case 在角为α=π/2M,M∈Z的平坦海滩上，振荡线源产生长波:三维情况
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2015-11-01 DOI: 10.1093/QJMAM/HBV015
U. Ehrenmark
{"title":"Generation of long waves by an oscillating line source above a flat beach of angle α=π/2M,M∈Z: the 3-d Case","authors":"U. Ehrenmark","doi":"10.1093/QJMAM/HBV015","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV015","url":null,"abstract":"","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"68 1","pages":"421-460"},"PeriodicalIF":0.9,"publicationDate":"2015-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV015","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61240062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The shape of Maxwell's equivalent inhomogeneity and ‘strange’ properties of regular polygons and other symmetric domains 麦克斯韦等效非均匀性的形状和正多边形和其他对称域的“奇怪”性质
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2015-11-01 DOI: 10.1093/QJMAM/HBV012
S. Mogilevskaya, D. Nikolskiy
{"title":"The shape of Maxwell's equivalent inhomogeneity and ‘strange’ properties of regular polygons and other symmetric domains","authors":"S. Mogilevskaya, D. Nikolskiy","doi":"10.1093/QJMAM/HBV012","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV012","url":null,"abstract":"The Maxwell concept of equivalent inhomogeneity is re-examined in the context of elastic composite, porous or micro-cracked materials of periodic structure. It is demonstrated that accurate estimates for the effective elastic properties can be obtained by the modified Maxwell approach that employs the proper shape of the equivalent inhomogeneity and explicitly accounts for the geometry of the cluster and for the interactions between its constituents. In addition, it is shown that regular polygonal and some other symmetric inhomogeneities possess ‘strange’and remarkable properties. Under the action of uniform far-field loads, the averages of certain combinations of stresses inside these inhomogeneities are constant and coincide with those for a circular inhomogeneity.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"68 1","pages":"363-385"},"PeriodicalIF":0.9,"publicationDate":"2015-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61239986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Effective properties of periodic tubular structures 周期管状结构的有效性能
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2015-10-21 DOI: 10.1093/qjmam/hbw003
Y. Godin
{"title":"Effective properties of periodic tubular structures","authors":"Y. Godin","doi":"10.1093/qjmam/hbw003","DOIUrl":"https://doi.org/10.1093/qjmam/hbw003","url":null,"abstract":"A method is described to calculate effective tensor properties of a periodic array of two-phase dielectric tubes embedded in a host matrix. The method uses Weierstrass' quasiperodic functions for representation of the potential that considerably facilitates the problem and allows us to find an exact expression for the effective tensor. For weakly interacting tubes we obtain Maxwell-like approximation of the effective parameter which is in very good agreement with experimental results in considered examples.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"69 1","pages":"181-193"},"PeriodicalIF":0.9,"publicationDate":"2015-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/qjmam/hbw003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61241208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
An asymptotic model for a thin biphasic poroviscoelastic layer 双相薄孔粘弹性层的渐近模型
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2015-08-01 DOI: 10.1093/QJMAM/HBV008
I. Argatov, Gennady Mishuris
{"title":"An asymptotic model for a thin biphasic poroviscoelastic layer","authors":"I. Argatov, Gennady Mishuris","doi":"10.1093/QJMAM/HBV008","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV008","url":null,"abstract":"Summary A three-dimensional deformation problem for articular cartilage layer is considered in the framework of the linear biphasic poroviscoelastic theory. The solid matrix of biphasic layer is assumed to be transversely isotropic. A short-time leading-order asymptotic solution is obtained for a relatively thin biphasic poroviscoelastic layer bonded to a rigid impermeable substrate.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"45 1","pages":"289-297"},"PeriodicalIF":0.9,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61239916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Oblique rayleigh wave scattering by a cylindrical cavity 斜瑞利波在圆柱形腔中的散射
IF 0.9 4区 工程技术
Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2015-08-01 DOI: 10.1093/QJMAM/HBV006
C. Linton, I. Thompson
{"title":"Oblique rayleigh wave scattering by a cylindrical cavity","authors":"C. Linton, I. Thompson","doi":"10.1093/QJMAM/HBV006","DOIUrl":"https://doi.org/10.1093/QJMAM/HBV006","url":null,"abstract":"The problem of oblique wave scattering of a Rayleigh wave by a cylindrical cavity\u0000in an elastic half-space is solved using the multipole expansion method. Whereas in the\u0000analogous water-wave problem a single scalar field is expressed as an infinite multipole\u0000expansion, and in the Rayleigh wave case with normal incidence two scalar fields suffice,\u0000here we require three coupled scalar multipole expansions. The focus of our numerical\u0000results is on the energy scattered by the cavity and in particular the proportion of the\u0000incident wave energy that is reflected and transmitted in the form of Rayleigh waves\u0000and the proportion that is transformed into cylindrical bulk waves which propagate\u0000into the half-space.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"68 1","pages":"235-261"},"PeriodicalIF":0.9,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QJMAM/HBV006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61239831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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