Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences最新文献_第2页

The linear viscoelastic fracture theory applies to soft solids better when they are…viscoelastic 线性粘弹性断裂理论更适用于具有......粘弹性的软固体。

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-17 DOI: 10.1098/rspa.2023.0561

Etienne Barthel

{"title":"The linear viscoelastic fracture theory applies to soft solids better when they are…viscoelastic","authors":"Etienne Barthel","doi":"10.1098/rspa.2023.0561","DOIUrl":"https://doi.org/10.1098/rspa.2023.0561","url":null,"abstract":"Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in forms which are not quite suitable for the analysis of actual data. Here, we propose a linear viscoelastic approach which consistently exploits the dynamic mechanical analysis data. We apply this method to four sets of results documenting fracture or adhesion rupture in soft solids with various degrees of viscoelasticity. For elastomers, the results reproduce the well-known inconsistency of the process zone size. In more viscoelastic systems, however, the present approach is able to match the measured velocity dependence of the rupture energy with physically acceptable process zone sizes. Moreover, our predictions agree with the damage zone sizes measured by mechanoluminescence. Building on these results, we discuss various issues arising when evaluating the linear viscoelastic contribution to the rupture/adhesion energy in soft solids: data quality, physical interpretation of the parameters, validity of simpler approximations and limitations of the present approach.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"8 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140614494","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

Allowing Wigner’s friend to sequentially measure incompatible observables 允许维格纳之友依次测量不兼容的观测变量

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-17 DOI: 10.1098/rspa.2024.0040

Aníbal Utreras-Alarcón, Eric G. Cavalcanti, Howard M. Wiseman

{"title":"Allowing Wigner’s friend to sequentially measure incompatible observables","authors":"Aníbal Utreras-Alarcón, Eric G. Cavalcanti, Howard M. Wiseman","doi":"10.1098/rspa.2024.0040","DOIUrl":"https://doi.org/10.1098/rspa.2024.0040","url":null,"abstract":"The Wigner’s friend thought experiment has gained a resurgence of interest in recent years thanks to no-go theorems that extend it to Bell-like scenarios. One of these, by us and co-workers, showcased the contradiction that arises between quantum theory and a set of assumptions, weaker than those in Bell’s theorem, which we named ‘Local Friendliness’. Using these assumptions, it is possible to arrive at a set of inequalities for a given scenario, and, in general, some of these inequalities will be harder to violate than the Bell inequalities for the same scenario. A crucial feature of the extended Wigner’s friend scenario in our aforementioned work was the ability of a superobserver to reverse the unitary evolution that gives rise to their friend’s measurement. Here, we present a new scenario where the superobserver can interact with the friend repeatedly in a single experimental instance, either by asking them directly for their result, thus ending that instance, or by reversing their measurement and instructing them to perform a new one. We show that, in these scenarios, the Local Friendliness inequalities will always be the same as Bell inequalities.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"25 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140614492","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 blockfold origami: a non-flat-foldable Miura variant with self-locking mechanisms and enhanced stiffness 轴对称积木折纸：具有自锁机制和更高刚度的非扁平可折叠三浦变体

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-17 DOI: 10.1098/rspa.2023.0956

Xiangxin Dang, Glaucio H. Paulino

{"title":"Axisymmetric blockfold origami: a non-flat-foldable Miura variant with self-locking mechanisms and enhanced stiffness","authors":"Xiangxin Dang, Glaucio H. Paulino","doi":"10.1098/rspa.2023.0956","DOIUrl":"https://doi.org/10.1098/rspa.2023.0956","url":null,"abstract":"Origami foldcores, especially the blockfold cores, have emerged as promising components of high-performance sandwich composites. Inspired by the blockfold origami, we propose the axisymmetric blockfold origami (ABO), which is composed of both rectangular and trapezoidal panels. The ABO inherits the non-flat-foldability of the blockfold origami, and furthermore, displays self-locking mechanisms and enhanced stiffness. The geometry and folding kinematics of the ABO are formulated with respect to the geometric parameters and the folding angle of the assembly. The mathematical conditions are derived for the existence of self-locking mechanisms. We perform compression test simulations to demonstrate enhanced stiffness and increased load-bearing capacity. We find that the existence of rectangular panels not only dominates the non-flat-foldability of the ABO, but also contributes to the enhancement of the stiffness. Our results suggest the potential applications of the ABO for building load-bearing structures with rotational symmetry. Moreover, we discuss the prospects of designing tightly assembled multi-layered origami structures with prestress induced by the mismatch of successive layers to enlighten future research.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"19 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140614586","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 dynamic trap well model of hydrothermal shape-memory effect in amorphous polymers undergoing tailorable shape recovery behaviour 无定形聚合物中水热形状记忆效应的动态陷井模型，具有可定制的形状恢复行为

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-10 DOI: 10.1098/rspa.2023.0615

Jiabin Shi, Galina Gorbacheva, Haibao Lu, Denvid Lau

{"title":"A dynamic trap well model of hydrothermal shape-memory effect in amorphous polymers undergoing tailorable shape recovery behaviour","authors":"Jiabin Shi, Galina Gorbacheva, Haibao Lu, Denvid Lau","doi":"10.1098/rspa.2023.0615","DOIUrl":"https://doi.org/10.1098/rspa.2023.0615","url":null,"abstract":"A dynamic trap well model is developed to describe the complex relaxations of functional segments, and explore the working principles behind the hydrothermal coupling effect in shape memory polymers (SMPs). A constitutive relationship among shape fixity strain, shape recovery strain and relaxation time has been formulated to characterize the hydrothermal coupling effect using geometrical parameters (i.e. width and height) of trap wells. Moreover, effects of temperature and solvent absorption on dynamic relaxation behaviours of SMPs have been formulated based on the Flory-Huggins theory and Fokker-Plank probability equation. The trap well model effectively analyzes the shape fixity ratio and shape recovery ratio within ranges of 50–100% and 0–100%, respectively. Finally, an extended Maxwell model is proposed to formulate the dynamic mechanical behaviours of SMPs with hydrothermal shape-memory effect (SME), and the analytical results have been verified using the experimental results reported in literature. A good agreement between the analytical results obtained from the proposed model and the experimental data is present, where the correlation coefficient (R2) is 95%. The present study firstly introduces the dynamic trap well model for shape memory behaviours and intricate relaxations, and then accurately predicts the dynamic shape recovery of SMP in response to hydrothermal stimulus.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"298 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591817","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

Describing financial crisis propagation through epidemic modelling on multiplex networks 通过多路网络上的流行病建模来描述金融危机的传播

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-10 DOI: 10.1098/rspa.2023.0787

Malvina Bozhidarova, Frank Ball, Yves van Gennip, Reuben D. O’Dea, Gilles Stupfler

{"title":"Describing financial crisis propagation through epidemic modelling on multiplex networks","authors":"Malvina Bozhidarova, Frank Ball, Yves van Gennip, Reuben D. O’Dea, Gilles Stupfler","doi":"10.1098/rspa.2023.0787","DOIUrl":"https://doi.org/10.1098/rspa.2023.0787","url":null,"abstract":"This paper proposes a novel framework for modelling the spread of financial crises in complex networks, combining financial data, Extreme Value Theory and an epidemiological transmission model. We accommodate two key aspects of contagion modelling: fundamentals-based contagion, where the transmission is due to direct financial linkages, and pure contagion, where a crisis might trigger additional crises due to global effects. We use stock price, geographical location and economic sector data for a set of 398 companies to construct multiplex networks of four layers, on which a susceptible-infected-recovered transmission model is defined, in order to model the spread of financial shocks between companies by accounting for their interconnected nature. By utilizing stock price data for the 2008 and 2020 financial crises, we investigate and assess the effectiveness of our model in forecasting the propagation of financial shocks through the network, where a shock is detected by measuring stock price volatility. The results suggest that the proposed framework is effective in predicting the spread of financial crises. Our findings demonstrate the significance of each layer of the multiplex network structure, which differentiates between various transmission pathways, for predicting the number of affected companies, as well as for company-, sector- or location-specific predictions.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"99 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591791","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 rigorous mathematical theory for topological phases and edge modes in spring-mass mechanical systems 弹簧-质量机械系统拓扑相位和边缘模式的严格数学理论

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-10 DOI: 10.1098/rspa.2023.0910

Ridvan Ozdemir, Junshan Lin

引用次数: 0

Stability of penetrative convective currents in local thermal non-equilibrium 局部热非均衡状态下穿透性对流的稳定性

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-10 DOI: 10.1098/rspa.2023.0820

Giuseppe Arnone, Florinda Capone, Jacopo Alfonso Gianfrani

引用次数: 0

Free propagation of resonant waves in nonlinear dissipative metamaterials 非线性耗散超材料中共振波的自由传播

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-10 DOI: 10.1098/rspa.2023.0759

Alessandro Fortunati, Andrea Arena, Marco Lepidi, Andrea Bacigalupo, Walter Lacarbonara

引用次数: 0

Droplet evaporation on curved surfaces: transients of internal and external transport phenomena 曲面上的液滴蒸发：内部和外部传输现象的瞬变

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-03 DOI: 10.1098/rspa.2023.0613

Arnov Paul, Subhadeep Mondal, Purbarun Dhar

{"title":"Droplet evaporation on curved surfaces: transients of internal and external transport phenomena","authors":"Arnov Paul, Subhadeep Mondal, Purbarun Dhar","doi":"10.1098/rspa.2023.0613","DOIUrl":"https://doi.org/10.1098/rspa.2023.0613","url":null,"abstract":"We explore the transient evolution of thermo-fluid-dynamics of evaporating sessile droplets over curved substrates in the liquid and gaseous domains. A computational model using the Arbitrary Lagrangian-Eulerian framework is adopted. The governing equations in both liquid and gaseous domains are solved in a fully coupled manner, considering coupled effects of evaporative cooling and heat advection due to bulk fluid motion. This bulk motion in the liquid domain is caused by natural advection due to thermal actuations such as thermal Marangoni flow and buoyancy-driven convection. For the gaseous domain, the additional effects of solutal convection (due to vapour-concentration variation), Stefan flow and interfacial viscous stresses are also considered. To depict a generalized role of substrate curvature, both concave and convex surfaces with curvatures over a wide range are studied. The surface wettability effects are also explored by varying the true contact angle of the droplets. Computational predictions on evaporation rate and internal flow field are validated against experimental results from literature. The interplay of wetting state and substrate curvature is noted to substantially affect the evaporation process and its thermo-fluidics. The convex curvature significantly augments internal advection while the same is weakened over concave substrates due to altered mass loss rate. Consequently, the duration of multi-vortex Marangoni flows in the development stages of evaporation and the advection in the external gaseous domain is markedly different for different curvatures. Further, on superhydrophobic curved surfaces, the effects of re-distributed evaporative fluxes play a major role. In such cases, the reduced mass flux over a large interfacial area near the periphery expedites the stable state Marangoni and external flow features.","PeriodicalId":20716,"journal":{"name":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","volume":"63 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591616","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

Elastic response of a cylinder loaded by a Hertzian contact pressure and maintained in equilibrium by its inertia 由赫兹接触压力加载并由惯性维持平衡的圆柱体的弹性响应

IF 3.5 3区综合性期刊

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-03 DOI: 10.1098/rspa.2023.0891

Pierric Mora, Fabien Treyssède, Laurent Laguerre

引用次数: 0