Proceedings of the Royal Society A最新文献_第2页

Stability analysis of evolutionary dynamics of 2 × 2 × 2 asymmetric games 2 × 2 × 2 非对称博弈进化动态的稳定性分析

Proceedings of the Royal Society A Pub Date : 2024-01-01 DOI: 10.1098/rspa.2023.0478

Shan Song, Q. Pan, Xubin Gao, Mingfeng He

引用次数: 0

Viscoplastic simple shear at finite strains 有限应变下的粘塑性简单剪切

Proceedings of the Royal Society A Pub Date : 2023-12-01 DOI: 10.1098/rspa.2023.0603

F. Califano, J. Ciambella

{"title":"Viscoplastic simple shear at finite strains","authors":"F. Califano, J. Ciambella","doi":"10.1098/rspa.2023.0603","DOIUrl":"https://doi.org/10.1098/rspa.2023.0603","url":null,"abstract":"The equations governing the simple shear deformation of an incompressible inelastic material undergoing finite strain are derived in this paper. The constitutive assumptions are kept in their most general form to allow the incorporation of widely used viscoplastic or viscoelastic models from the literature. It is shown that, while for a hyperelastic material the simple shear problem is completely determined by a single parameter, the amount of shear, in the viscoplastic case, the elastic deformation is the superposition of a triaxial stretch and a simple shear, whose determination requires the solution of three coupled nonlinear evolution equations. We evaluate such a solution for different material models and compare it with three-dimensional finite element simulations to assess its accuracy. We further assess the performance of these models using experimental data from filled rubber, focusing on their ability to capture the observed behaviour, such as the well-known Payne effect. Additionally, we extend our simple shear solution to address torsion and the extension of thin-walled cylinders. These derivations and analyses offer valuable insights for experimentalists engaged in the mechanical characterization of soft materials.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139187822","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

The Painlevé paradox in three dimensions: resolution with regularization 三维空间中的潘列维悖论：用正则化解决问题

Proceedings of the Royal Society A Pub Date : 2023-12-01 DOI: 10.1098/rspa.2023.0419

N. Cheesman, S. Hogan, K. Uldall Kristiansen

引用次数: 0

Chirality and curvature determine the meandering of spirals in multilayer excitable media 手性和曲率决定多层可激介质中螺旋的蜿蜒曲折

Proceedings of the Royal Society A Pub Date : 2023-12-01 DOI: 10.1098/rspa.2023.0730

Dorsa Nezhad Hajian, Fatemeh Parastesh, K. Rajagopal, S. Jafari, M. Perc, Eva Klemenčič

{"title":"Chirality and curvature determine the meandering of spirals in multilayer excitable media","authors":"Dorsa Nezhad Hajian, Fatemeh Parastesh, K. Rajagopal, S. Jafari, M. Perc, Eva Klemenčič","doi":"10.1098/rspa.2023.0730","DOIUrl":"https://doi.org/10.1098/rspa.2023.0730","url":null,"abstract":"We study the emergence of meandering spiral waves in a multilayer structure where two spirals, originating independently, evolve in space–time. The FitzHugh-Nagumo model, enhanced with electromagnetic induction effects, defines the nodal dynamics. The layers are chemically coupled, and the drift of spirals is influenced by interlayer flux coupling. An external magnetic flux force is also necessary to destabilize and unpin spiral rotors. The effects of unique characteristics of spiral patterns, like chirality and tip curvature, are assessed. We find that spirals often drift within a bounded meandering area; however, determining the drift directions and overall meandering regions is complex. The forced spiral generally drifts a greater distance, except for identical co-rotating spirals, which drift synchronously. Spirals with opposite chirality exhibit asynchronous drift and wavefront asymmetry, even with identical tip curvature. Regardless of chirality, non-identical spirals are geometrically aligned and amplified before drifting. Stimulating the more loosely curved spiral ensures both spirals drift.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"29 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139190507","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

Hybrid cyber-attack compensation of sustainable microgrid using active disturbance rejection control strategy 利用主动干扰抑制控制策略对可持续微电网进行混合网络攻击补偿

Proceedings of the Royal Society A Pub Date : 2023-11-01 DOI: 10.1098/rspa.2023.0585

Komal Sharma, Anil Kumar Yadav, Bharat Bhushan Sharma

引用次数: 0

Modulation instability and localized wave excitations for a higher-order modified self-steepening nonlinear Schrödinger equation in nonlinear optics 非线性光学中高阶修正自膨胀非线性薛定谔方程的调制不稳定性和局部波激励

Proceedings of the Royal Society A Pub Date : 2023-11-01 DOI: 10.1098/rspa.2023.0601

Haotian Wang, Qin Zhou, Hujiang Yang, Xiankui Meng, Ye Tian, Wenjun Liu

{"title":"Modulation instability and localized wave excitations for a higher-order modified self-steepening nonlinear Schrödinger equation in nonlinear optics","authors":"Haotian Wang, Qin Zhou, Hujiang Yang, Xiankui Meng, Ye Tian, Wenjun Liu","doi":"10.1098/rspa.2023.0601","DOIUrl":"https://doi.org/10.1098/rspa.2023.0601","url":null,"abstract":"This paper investigates a higher-order modified nonlinear Schrödinger equation with higher-order dispersion and self-steepening effects, which can be used to study the dynamics of asymmetric and steepened optical pulse transmission in optical fibres. The modulation instability of the plane-wave solution has been analysed, and the state transition of the rogue waves under the higher-order dispersion effect is presented. The findings demonstrate that the self-steepening effect may also produce an asymmetric unstable frequency band. Combined with the modulation instability, the rogue wave, rational soliton and mixed interaction of localized waves have a quantitative relationship with plane-wave parameters. Various exact solutions can be accurately located and obtained according to the generalized Darboux transformation. The asymptotic analysis of rational solutions demonstrates the state transition of higher-order rogue waves. This paper illustrates the significance of modulation instability for studying the integrable systems by the Darboux transformation. It is a new guidance to solve the difficulty of exact excitation of asymmetric localized waves in complex integrable systems. The results have prospective applications and references for the emergence, amplification and compression of asymmetric pulses in optical experiments.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139291370","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

Proof of Straughan’s claim on Payne–Song’s and modified Guyer–Krumhansl’s equations 斯特劳亨关于佩恩-宋方程和修正的盖尔-克鲁姆汉斯尔方程的主张的证明

Proceedings of the Royal Society A Pub Date : 2023-11-01 DOI: 10.1098/rspa.2023.0439

P. M. Mariano

引用次数: 0

Flutter instability in solids and structures, with a view on biomechanics and metamaterials 固体和结构中的扑动不稳定性，以生物力学和超材料为视角

Proceedings of the Royal Society A Pub Date : 2023-11-01 DOI: 10.1098/rspa.2023.0523

D. Bigoni, Francesco Dal Corso, Oleg N. Kirillov, D. Misseroni, G. Noselli, A. Piccolroaz

引用次数: 0

Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations 非线性碰撞碎裂方程的同调扰动法及其收敛性分析

Proceedings of the Royal Society A Pub Date : 2023-11-01 DOI: 10.1098/rspa.2023.0567

Nisha Yadav, Ashok Das, Mehakpreet Singh, Sukhjit Singh, Jitendra Kumar

{"title":"Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations","authors":"Nisha Yadav, Ashok Das, Mehakpreet Singh, Sukhjit Singh, Jitendra Kumar","doi":"10.1098/rspa.2023.0567","DOIUrl":"https://doi.org/10.1098/rspa.2023.0567","url":null,"abstract":"The exploration of collisional fragmentation pheno-mena remains largely unexplored, yet it holds considerable importance in numerous engineering and physical processes. Given the nonlinear nature of the governing equation, only a limited number of analytical solutions for the number density function corresponding to empirical kernels are available in the literature. This article introduces a semi-analytical approach using the homotopy perturbation method to obtain series solutions for the nonlinear collisional fragmentation equation. The method presented here can be readily adapted to solve both linear and nonlinear integral equations, eliminating the need for domain discretization. To gain deeper insights intothe accuracy of the proposed method, a convergence analysis is conducted. This analysis employs the concept of contractive mapping within the Banach space, a well-established technique universally acknowledged for ensuring convergence. Various collisional kernels (product and polymerization kernels), breakage distribution functions (binary and multiple breakage) and various initial particle distributions are considered to obtain the new series solutions. The obtained results are successfully compared against finite volume method [26] solutions in terms of number density functions and their moments. The error between the exact and obtained series solutions is shown in plots and tables to confirm the applicability and accuracy of the proposed method.","PeriodicalId":509915,"journal":{"name":"Proceedings of the Royal Society A","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139304630","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

A model to validate effective waves in random particulate media: spherical symmetry 验证随机颗粒介质中有效波的模型：球形对称性

Proceedings of the Royal Society A Pub Date : 2023-11-01 DOI: 10.1098/rspa.2023.0444

A. Gower, Stuart C. Hawkins, Gerhard Kristensson

引用次数: 0