发布求助
文献互助 智能选刊 最新文献

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences最新文献

筛选
英文 中文
Connecting continuum poroelasticity with discrete synthetic vascular trees for modelling liver tissue 连接连续气孔弹性与离散合成血管树以模拟肝脏组织
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI: 10.1098/rspa.2023.0421
Adnan Ebrahem, Etienne Jessen, Marco F. P. ten Eikelder, Tarun Gangwar, Michał Mika, Dominik Schillinger
{"title":"Connecting continuum poroelasticity with discrete synthetic vascular trees for modelling liver tissue","authors":"Adnan Ebrahem, Etienne Jessen, Marco F. P. ten Eikelder, Tarun Gangwar, Michał Mika, Dominik Schillinger","doi":"10.1098/rspa.2023.0421","DOIUrl":"https://doi.org/10.1098/rspa.2023.0421","url":null,"abstract":"<p>The modelling of liver tissue across multiple length scales constitutes a significant challenge, primarily due to the multiphysics coupling of mechanical response and perfusion within the complex multiscale vascularization of the organ. In this paper, we present a modelling framework that connects continuum poroelasticity and discrete vascular tree structures to model liver tissue across disparate levels of the perfusion hierarchy. The connection is achieved through a series of modelling decisions, which include source terms in the pressure equation to model inflow from the supplying tree, pressure boundary conditions to model outflow into the draining tree, and contact conditions to model surrounding tissue. We investigate the numerical behaviour of our framework and apply it to a patient-specific full-scale liver problem that demonstrates its potential to help assess surgical liver resection procedures.</p>","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"21 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140156302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multichannel scattering for the Schrödinger equation on a line with different thresholds at both infinities 线性上薛定谔方程的多通道散射，两个无限点的阈值不同
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI: 10.1098/rspa.2023.0847
Peter O. Kazinski, Petr S. Korolev
{"title":"Multichannel scattering for the Schrödinger equation on a line with different thresholds at both infinities","authors":"Peter O. Kazinski, Petr S. Korolev","doi":"10.1098/rspa.2023.0847","DOIUrl":"https://doi.org/10.1098/rspa.2023.0847","url":null,"abstract":"<p>The multichannel scattering problem for the stationary Schrödinger equation on a line with different thresholds at both infinities is investigated. The analytical structure of the Jost solutions and of the transition matrix relating the Jost solutions as functions of the spectral parameter is described. Unitarity of the scattering matrix is proved in the general case when some of the scattering channels can be closed and the thresholds can be different at left and right infinities on the line. The symmetry relations of the <span><math><mi>S</mi></math></span><span></span>-matrix are established. The condition determining the bound states is obtained. The asymptotics of the Jost functions and of the transition matrix are derived for a large spectral parameter.</p>","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"20 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140146323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Axisymmetric vibration and stability of dielectric-elastic tubular bilayer system 介电弹性管状双层体系的轴对称振动与稳定性
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI: 10.1098/rspa.2023.0727
Ahmad Almamo, Yipin Su, Weiqiu Chen, Huiming Wang
{"title":"Axisymmetric vibration and stability of dielectric-elastic tubular bilayer system","authors":"Ahmad Almamo, Yipin Su, Weiqiu Chen, Huiming Wang","doi":"10.1098/rspa.2023.0727","DOIUrl":"https://doi.org/10.1098/rspa.2023.0727","url":null,"abstract":"<p>Modern transducers and actuators may have functional layers with multi-field coupling and some elastic layers. This paper considers a tubular bilayer system consisting of a thin dielectric tube coated with a thick elastic layer. We study the nonlinear electromechanical response and the linear axisymmetric vibration of the system subject to different applied voltages and inner/outer pressures within the framework of the general nonlinear theory of electro-elasticity, the related linear incremental theory, and by considering the continuity conditions at the interface. We investigate instability behaviour using the same basic formulae. The state-space method provides efficient and accurate free vibration analysis, considering the dynamic response at the lowest frequencies, so we can neglect the viscous and damping effects, which is well suited to this problem. New results indicate that the bilayer system improves its frequency capability and stability compared to the monolayer dielectric tube. The thick outer elastic layer stiffens the bilayer system against axisymmetric bifurcation, bulging and necking instabilities. It also performs better in front of axisymmetric instability, increasing the system’s capability to receive or produce higher voltages, especially for long waves.This work thoroughly explains bilayer functional systems’ behaviour when exposed to extreme environments such as high voltage or pressure.</p>","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"100 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140146502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generating new gravitational solutions by matrix multiplication 通过矩阵乘法生成新的引力解
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI: 10.1098/rspa.2023.0857
M. Cristina Câmara, Gabriel Lopes Cardoso
{"title":"Generating new gravitational solutions by matrix multiplication","authors":"M. Cristina Câmara, Gabriel Lopes Cardoso","doi":"10.1098/rspa.2023.0857","DOIUrl":"https://doi.org/10.1098/rspa.2023.0857","url":null,"abstract":"<p>Explicit solutions to the nonlinear field equations of some gravitational theories can be obtained, by means of a Riemann–Hilbert approach, from a canonical Wiener–Hopf factorization of certain matrix functions called monodromy matrices. In this paper, we describe other types of factorization from which solutions can be constructed in a similar way. Our approach is based on an invariance problem, which does not constitute a Riemann–Hilbert problem and allows to construct solutions that could not have been obtained by Wiener–Hopf factorization of a monodromy matrix. It gives rise to a novel solution generating method based on matrix multiplications. We show, in particular, that new solutions can be obtained by multiplicative deformation of the canonical Wiener–Hopf factorization, provided the latter exists, and that one can superpose such solutions. Examples of applications include Kasner, Einstein–Rosen wave and gravitational pulse wave solutions.</p>","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"68 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140146311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic numerical method for hyperelasticity and elastoplasticity: a review 超弹性和弹塑性的渐近数值方法：综述
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI: 10.1098/rspa.2023.0714
Michel Potier-Ferry
{"title":"Asymptotic numerical method for hyperelasticity and elastoplasticity: a review","authors":"Michel Potier-Ferry","doi":"10.1098/rspa.2023.0714","DOIUrl":"https://doi.org/10.1098/rspa.2023.0714","url":null,"abstract":"<p>The literature about the asymptotic numerical method (ANM) is reviewed in this paper as well as its application to hyperelasticity and elastoplasticity. ANM is a generic continuation method based on the computation of Taylor series for solving nonlinear partial differential equations. Modern techniques of high-order differentiation provide simple tools for computing these power series, the corresponding algorithms for finite strain elasticity and elastoplasticity being summarized here. Taylor series is not only a computation tool, but it contains also useful information about the structure of the considered solution curve. The paper ends with a short historical account about the development of this numerical method.</p>","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"34 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140146500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unstable cores are the source of instability in chemical reaction networks 不稳定的核心是化学反应网络不稳定的根源
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI: 10.1098/rspa.2023.0694
Nicola Vassena, Peter F. Stadler
{"title":"Unstable cores are the source of instability in chemical reaction networks","authors":"Nicola Vassena, Peter F. Stadler","doi":"10.1098/rspa.2023.0694","DOIUrl":"https://doi.org/10.1098/rspa.2023.0694","url":null,"abstract":"<p>In biochemical networks, complex dynamical features such as superlinear growth and oscillations are classically considered a consequence of autocatalysis. For the large class of parameter-rich kinetic models, which includes generalized mass action kinetics and Michaelis–Menten kinetics, we show that certain submatrices of the stoichiometric matrix, so-called unstable cores, are sufficient for a reaction network to admit instability and potentially give rise to such complex dynamical behaviour. The determinant of the submatrix distinguishes unstable-positive feedbacks, with a single real-positive eigenvalue, and unstable-negative feedbacks without real-positive eigenvalues. Autocatalytic cores turn out to be exactly the unstable-positive feedbacks that are Metzler matrices. Thus there are sources of dynamical instability in chemical networks that are unrelated to autocatalysis. We use such intuition to design non-autocatalytic biochemical networks with superlinear growth and oscillations.</p>","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"12 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140146652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A theory of stochastic fluvial landscape evolution 随机河流地貌演变理论
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-02-07 DOI: 10.1098/rspa.2023.0456
G. G. Roberts, O. Wani
{"title":"A theory of stochastic fluvial landscape evolution","authors":"G. G. Roberts, O. Wani","doi":"10.1098/rspa.2023.0456","DOIUrl":"https://doi.org/10.1098/rspa.2023.0456","url":null,"abstract":"Geometries of eroding landscapes contain important information about geologic, climatic, biotic and geomorphic processes. They are also characterized by variability, which makes disentangling their origins challenging. Observations and physical models of fluvial processes, which set the pace of erosion on most continents, emphasize complexity and variability. By contrast, the spectral content of longitudinal river profiles and similarity of geometries at scales greater than approximately <jats:inline-formula> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi> </mml:mi> </mml:mrow> <mml:mn>100</mml:mn> <mml:mo> </mml:mo> <mml:mrow> <mml:mi mathvariant=\"normal\">km</mml:mi> </mml:mrow> </mml:math> </jats:inline-formula> highlight relatively simple emergent properties. A general challenge then, addressed in this manuscript, is development of a theory of landscape evolution that embraces such scale-dependent insights. We do so by incorporating randomness and probability into a theory of fluvial erosion. First, we explore the use of stochastic differential equations of the Langevin type, and the Fokker–Planck equation, for predicting migration of erosional fronts. Second, analytical approaches incorporating distributions of driving forces, critical thresholds and associated proxies are developed. Finally, a linear programming approach is introduced, that, at its core, treats evolution of longitudinal profiles as a Markovian stochastic problem. The theory is developed essentially from first principles and incorporates physics governing fluvial erosion. We explore predictions of this theory, including the natural growth of discontinuities and scale-dependent evolution, including local complexity and emergent simplicity.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"29 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140026441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear acoustics of an aperture under grazing flow 放牧流下孔隙的非线性声学特性
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-02-07 DOI: 10.1098/rspa.2023.0718
Alexander K. Stoychev, Tiemo Pedergnana, Nicolas Noiray
{"title":"Nonlinear acoustics of an aperture under grazing flow","authors":"Alexander K. Stoychev, Tiemo Pedergnana, Nicolas Noiray","doi":"10.1098/rspa.2023.0718","DOIUrl":"https://doi.org/10.1098/rspa.2023.0718","url":null,"abstract":"This work presents a mathematical model of a dynamically forced, acoustically compact aperture subject to one-sided mean grazing flow in two or three dimensions. By contrast to other simplified theoretical representations of a grazed aperture, the one proposed in this contribution considers some of the nonlinear effects a reduced order model should naturally inherit from the conservation equations governing the primary system’s dynamics. Furthermore, unlike other nonlinear developments, this one is able to reproduce the acoustic forcing amplitude dependence of the fundamental-frequency-based impedance, measured in recent experiments, without relying on empirical parameters. This nonlinear model offers further insight into the dominant physical mechanisms determining the aforementioned behaviour and allows reasonable <jats:italic>a priori</jats:italic> estimates of the aeroacoustic dynamics of the aperture. This could be used as a building block of more sophisticated systems or for the derivation of even simpler representations suitable for acoustic network modelling.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"21 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unifying temperature definition in atomistic and field representations of conservation laws 统一守恒定律原子表征和场表征中的温度定义
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-02-07 DOI: 10.1098/rspa.2023.0606
Youping Chen
{"title":"Unifying temperature definition in atomistic and field representations of conservation laws","authors":"Youping Chen","doi":"10.1098/rspa.2023.0606","DOIUrl":"https://doi.org/10.1098/rspa.2023.0606","url":null,"abstract":"In this work, a field representation of the conservation law of linear momentum is derived from the atomistic, using the theory of distributions as the mathematical tool, and expressed in terms of temperature field by defining temperature as a derived quantity as that in molecular kinetic theory and atomistic simulations. The formulation leads to a unified atomistic and continuum description of temperature and a new linear momentum equation that, supplemented by an interatomic potential, completely governs thermal and mechanical processes across scales from the atomic to the continuum. The conservation equation can be used to solve atomistic trajectories for systems at finite temperatures, as well as the evolution of field quantities in space and time, with atomic or multiscale resolution. Four sets of numerical examples are presented to demonstrate the efficacy of the formulation in capturing the effect of temperature and thermal fluctuations, including phonon density of states, thermally activated dislocation motion, dislocation formation during epitaxial processes, and attenuation of longitudinal acoustic waves as a result of their interaction with thermal phonons.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"9 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140026486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Role of electromagnetic energy and momentum in the Aharonov–Bohm effect 电磁能量和动量在阿哈诺夫-玻姆效应中的作用
IF 3.5 3区 综合性期刊
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-02-07 DOI: 10.1098/rspa.2023.0286
Alexander L. Kholmetskii, Oleg V. Missevitch, Tolga Yarman
{"title":"Role of electromagnetic energy and momentum in the Aharonov–Bohm effect","authors":"Alexander L. Kholmetskii, Oleg V. Missevitch, Tolga Yarman","doi":"10.1098/rspa.2023.0286","DOIUrl":"https://doi.org/10.1098/rspa.2023.0286","url":null,"abstract":"We analyse the physical meaning of the Aharonov–Bohm (AB) phase based on its representation through electromagnetic (EM) potentials as a sum of four components, which, in addition to the known electric and magnetic phase components, contains two more terms recently disclosed by our team in the analysis of quantum phase effects for dipoles and charges, and which we named the complementary electric AB phase and the complementary magnetic AB phase. Using the complete expression for the AB phase, we reveal that the phase component, explicitly depending on time, is determined by the interactional electric energy, while the phase component, explicitly depending on the velocity of charge, is determined by the interactional EM momentum for an isolated system ‘source of EM field and charge’. These findings shed new light on the origin of the AB phase and, in particular, allow us to generalize the de Broglie relationship and the Heisenberg uncertainty relations for a charged particle in an EM field.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"3 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信