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The quarterly journal of mechanics and applied mathematics最新文献

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Effect of a negatively surface-active solute on a bubble rising in a liquid 负表面活性溶质对液体中气泡上升的影响
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-08-04 DOI: 10.1093/QJMAM/HBY012
J. Harper
{"title":"Effect of a negatively surface-active solute on a bubble rising in a liquid","authors":"J. Harper","doi":"10.1093/QJMAM/HBY012","DOIUrl":"https://doi.org/10.1093/QJMAM/HBY012","url":null,"abstract":"","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90119775","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
Stokes flow through a two-dimensional channel with a linear expansion 斯托克斯流通过一个线性扩展的二维通道
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-08-01 DOI: 10.1093/QJMAM/HBY013
Elena Luca, S. G. L. Smith
{"title":"Stokes flow through a two-dimensional channel with a linear expansion","authors":"Elena Luca, S. G. L. Smith","doi":"10.1093/QJMAM/HBY013","DOIUrl":"https://doi.org/10.1093/QJMAM/HBY013","url":null,"abstract":"Summary Motivated by various applications in microfluidics, we consider low-Reynolds-number flow in a two-dimensional channel with different widths in the upstream and downstream directions. The channel geometry consists of a polygonal domain with angled edges at transition points. The polygonal nature of the geometry makes it amenable to analysis via the Unified Transform Method, providing quasi-analytical solutions which can be used to compute all the physical quantities of interest. We compute the pressure drop between the ends of the expansion or constriction region as a function of the channel width ratio and the orientation of the angled edges and compare our results to extended lubrication theory.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87010564","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: 6
A two-dimensional model of the thin laminar wall of a curvilinear flexible pipe 曲线柔性管薄层壁的二维模型
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-07-19 DOI: 10.1093/QJMAM/HBY009
Arpan Ghosh, V. Kozlov, S. Nazarov, David J. Rule
{"title":"A two-dimensional model of the thin laminar wall of a curvilinear flexible pipe","authors":"Arpan Ghosh, V. Kozlov, S. Nazarov, David J. Rule","doi":"10.1093/QJMAM/HBY009","DOIUrl":"https://doi.org/10.1093/QJMAM/HBY009","url":null,"abstract":"We present a two-dimensional model describing the elastic behaviour of the wall of a curved flexible pipe. The wall has a laminate structure consisting of several anisotropic layers of varying thic ...","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80707873","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: 8
On the linear equilibrium theory of elasticity for materials with triple voids 三孔材料弹性线性平衡理论研究
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-07-16 DOI: 10.1093/QJMAM/HBY008
M. Svanadze
{"title":"On the linear equilibrium theory of elasticity for materials with triple voids","authors":"M. Svanadze","doi":"10.1093/QJMAM/HBY008","DOIUrl":"https://doi.org/10.1093/QJMAM/HBY008","url":null,"abstract":"","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76817490","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
A direct method for Bloch wave excitation by scattering at the edge of a lattice. Part II: Finite size effects 晶格边缘散射法激发布洛赫波的直接方法。第二部分:有限尺寸效应
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-06-21 DOI: 10.1093/QJMAM/HBZ010
Richard L. Brougham
{"title":"A direct method for Bloch wave excitation by scattering at the edge of a lattice. Part II: Finite size effects","authors":"Richard L. Brougham","doi":"10.1093/QJMAM/HBZ010","DOIUrl":"https://doi.org/10.1093/QJMAM/HBZ010","url":null,"abstract":"\u0000 A method for determining the reflection and transmission properties of a periodic structure occupying a half-space, previously developed for lattices formed from point scatterers, is generalized to allow for finite size effects. This facilitates the consideration of much higher frequencies (or more precisely, much higher scatterer size to wavelength ratios), and also a wider range of boundary conditions. The method is presented in a general context of linear wave theory, and physical interpretations are given for acoustics, elasticity, electromagnetism and water waves.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78750640","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
Single-Crystal Gradient Approach to Plastically Deformed Polycrystal 塑性变形多晶的单晶梯度法
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-06-12 DOI: 10.1093/QJMAM/HBY007
A. Borokinni, O. Fadodun
{"title":"Single-Crystal Gradient Approach to Plastically Deformed Polycrystal","authors":"A. Borokinni, O. Fadodun","doi":"10.1093/QJMAM/HBY007","DOIUrl":"https://doi.org/10.1093/QJMAM/HBY007","url":null,"abstract":"","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73545308","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
Modified Babenko’s Equation For Periodic Gravity Waves On Water Of Finite Depth 有限深度水中周期性重力波的修正Babenko方程
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-05-18 DOI: 10.1093/qjmam/hbz011
E. Dinvay, N. Kuznetsov
{"title":"Modified Babenko’s Equation For Periodic Gravity Waves On Water Of Finite Depth","authors":"E. Dinvay, N. Kuznetsov","doi":"10.1093/qjmam/hbz011","DOIUrl":"https://doi.org/10.1093/qjmam/hbz011","url":null,"abstract":"\u0000 A new operator equation for periodic gravity waves on water of finite depth is derived and investigated; it is equivalent to Babenko’s equation considered in Kuznetsov and Dinvay (Water Waves, 1, 2019). Both operators in the proposed equation are nonlinear and depend on the parameter equal to the mean depth of water, whereas each solution defines a parametric representation for a symmetric free surface profile. The latter is a component of a solution of the two-dimensional, nonlinear problem describing steady waves propagating in the absence of surface tension. Bifurcation curves (including a branching one) are obtained numerically for solutions of the new equation; they are compared with known results.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89761064","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
Periodic Auxetics: Structure and Design. 周期性助推器：结构与设计
The quarterly journal of mechanics and applied mathematics Pub Date : 2018-05-01 Epub Date: 2017-12-11 DOI: 10.1093/qjmam/hbx028
Ciprian S Borcea, Ileana Streinu
{"title":"Periodic Auxetics: Structure and Design.","authors":"Ciprian S Borcea, Ileana Streinu","doi":"10.1093/qjmam/hbx028","DOIUrl":"10.1093/qjmam/hbx028","url":null,"abstract":"<p><p>Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. Most studies, in the last three decades, have explored repetitive or cellular structures and used the notion of negative Poisson's ratio as the hallmark of auxetic behavior. However, no general auxetic principle has been established from this perspective. In the present article, we show that a purely geometric approach to periodic auxetics is apt to identify essential characteristics of frameworks with auxetic deformations and can generate a systematic and endless series of periodic auxetic designs. The critical features refer to convexity properties expressed through families of homothetic ellipsoids.</p>","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"71 2","pages":"125-138"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6003383/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36253367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Collapsing Cavities and Converging Shocks in Non-Ideal Materials 非理想材料中的塌缩空腔和会聚冲击
The quarterly journal of mechanics and applied mathematics Pub Date : 2017-12-20 DOI: 10.1093/qjmam/hbz015
Z. Boyd, E. Schmidt, S. Ramsey, R. Baty
{"title":"Collapsing Cavities and Converging Shocks in Non-Ideal Materials","authors":"Z. Boyd, E. Schmidt, S. Ramsey, R. Baty","doi":"10.1093/qjmam/hbz015","DOIUrl":"https://doi.org/10.1093/qjmam/hbz015","url":null,"abstract":"\u0000 As modern hydrodynamic codes increase in sophistication, the availability of realistic test problems becomes increasingly important. In gas dynamics, one common unrealistic aspect of most test problems is the ideal gas assumption, which is unsuited to many real applications, especially those involving high pressure and speed metal deformation. Our work considers the collapsing cavity and converging shock test problems, showing to what extent the ideal gas assumption can be removed from their specification. It is found that while most materials simply do not admit simple (that is scaling) solutions in this context, there are infinite-dimensional families of materials which do admit such solutions. We characterize such materials, derive the appropriate ordinary differential equations and analyze the associated nonlinear eigenvalue problem. It is shown that there is an inherent tension between boundedness of the solution, boundedness of its derivatives and the entropy condition. The special case of a constant-speed cavity collapse is considered and found to be heuristically possible, contrary to common intuition. Finally, we give an example of a concrete non-ideal collapsing cavity scaling solution based on a recently proposed pseudo-Mie–Gruneisen equation of state.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83005656","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
Mode matching methods for spectral and scattering problems 光谱和散射问题的模式匹配方法
The quarterly journal of mechanics and applied mathematics Pub Date : 2017-11-09 DOI: 10.1093/qjmam/hby018
A. Delitsyn, D. S. Grebenkov, D. S. Grebenkov
{"title":"Mode matching methods for spectral and scattering problems","authors":"A. Delitsyn, D. S. Grebenkov, D. S. Grebenkov","doi":"10.1093/qjmam/hby018","DOIUrl":"https://doi.org/10.1093/qjmam/hby018","url":null,"abstract":"We present several applications of mode matching methods in spectral and scattering problems. First, we consider the eigenvalue problem for the Dirichlet Laplacian in a finite cylindrical domain that is split into two subdomains by a \"perforated\" barrier. We prove that the first eigenfunction is localized in the larger subdomain, i.e., its $L_2$ norm in the smaller subdomain can be made arbitrarily small by setting the diameter of the \"holes\" in the barrier small enough. This result extends the well known localization of Laplacian eigenfunctions in dumbbell domains. We also discuss an extension to noncylindrical domains with radial symmetry. Second, we study a scattering problem in an infinite cylindrical domain with two identical perforated barriers. If the holes are small, there exists a low frequency at which an incident wave is fully transmitted through both barriers. This result is counter-intuitive as a single barrier with the same holes would fully reflect incident waves with low frequences.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78249564","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: 9
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