Mathematical Methods in the Applied Sciences最新文献

{"title":"Effective elasto-(visco)plastic coefficients of a bi-phasic composite material with scale-dependent size effects","authors":"Alessandro Giammarini,&nbsp;Ariel Ramírez-Torres,&nbsp;Alfio Grillo","doi":"10.1002/mma.10367","DOIUrl":"https://doi.org/10.1002/mma.10367","url":null,"abstract":"<p>We employ the theory of asymptotic homogenization (AH) to study the elasto-plastic behavior of a composite medium comprising two solid phases, separated by a sharp interface and characterized by mechanical properties, such as elastic coefficients and “initial yield stresses” (i.e., a threshold stress above which remodeling is triggered), that may differ up to several orders of magnitude. We speak of “plastic” behavior because we have in mind a material behavior that, to a certain extent, resembles plasticity, although, for biological systems, it embraces a much wider class of inelastic phenomena. In particular, we are interested in studying the influence of gradient effects in the remodeling variable on the homogenized mechanical properties of the composite. The jump of the mechanical properties from one phase to the other makes the composite highly heterogeneous and calls for the determination of <i>effective properties</i>, that is, properties that are associated with a homogenized “version” of the original composite, and that are obtained through a suitable averaging procedure. The determination of the effective properties results convenient, in particular, when it comes to the multiscale description of inelastic processes, such as remodeling in soft or hard tissues, like bones. To accomplish this task with the aid of AH, we assume that the length scale over which the heterogeneities manifest themselves is several orders of magnitude smaller than the characteristic length scale of the composite as a whole. We identify both a <i>fine-scale</i> problem and a <i>coarse-scale</i> problem, each of which characterizes the elasto-plastic dynamics of the composite at the corresponding scale, and we discuss how they are reciprocally coupled through a transfer of information from one scale to the other. In particular, we highlight how the coarse-scale plastic distortions influence the fine-scale problem. Moreover, in the limit of negligible hysteresis effects, we individuate two viscoplastic effective coefficients that encode the information of the two-scale nature of the composite medium in the upscaled equations. Finally, to deal with a case study tractable semi-analytically, we consider a multilayered composite material with an initial yield stress that is constant in each phase. Such investigation is meant to contribute to the constitution of a robust framework for devising the effective properties of hierarchical biological media.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 1","pages":"926-979"},"PeriodicalIF":2.1,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10367","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142861591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to “Symmetric waves are traveling waves of some shallow water scalar equations”","authors":"","doi":"10.1002/mma.10521","DOIUrl":"https://doi.org/10.1002/mma.10521","url":null,"abstract":"<p>\u0000 <span>Khorbatly, B.</span> <span>Symmetric waves are traveling waves of some shallow water scalar equations</span>. <i>Math Meth Appl Sci.</i> <span>48</span> (<span>2025</span>), <span>1303</span>–<span>1303</span>. DOI 10.1002/mma.8830</p><p>In the funding information, the grant agreement number of the funder European Union's Horizon 2020 should be 101034309.</p><p>We apologize for this error.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 1","pages":"1303"},"PeriodicalIF":2.1,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10521","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142862097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to “On the exponential stabilization of the electromagneto-elastic system with Wentzell conditions”","authors":"","doi":"10.1002/mma.10522","DOIUrl":"https://doi.org/10.1002/mma.10522","url":null,"abstract":"<p>\u0000 <span>Kasri, H</span>, <span>Heminna, A</span>. <span>On the exponential stabilization of the electromagneto-elastic system with Wentzell conditions</span>. <i>Math Meth Appl Sci.</i> <span>48</span> (<span>2025</span>), <span>1304</span>–<span>1304</span>. DOI 10.1002/mma.4546</p><p>In this article, the first author's name was inadvertently rendered incorrectly. The correct name is “Hicham Kasri.”</p><p>We apologize for this error.</p><p>The online article has also been corrected.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 1","pages":"1304"},"PeriodicalIF":2.1,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10522","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142862098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonexistence for a system of time‐fractional diffusion equations in an exterior domain","authors":"Mohamed Jleli, Bessem Samet","doi":"10.1002/mma.10489","DOIUrl":"https://doi.org/10.1002/mma.10489","url":null,"abstract":"A system of time‐fractional diffusion equations posed in an exterior domain of ( ) under homogeneous Dirichlet boundary conditions is investigated in this paper. The time‐fractional derivatives are considered in the Caputo sense. Using nonlinear capacity estimates specifically adapted to the nonlocal properties of the Caputo fractional derivative, the geometry of the domain, and the boundary conditions, we obtain sufficient conditions for the nonexistence of a weak solution to the considered system.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"1 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global and exponential attractors for viscoelastic Kirchhoff plate equation with memory and time delay","authors":"Yuming Qin, Hongli Wang","doi":"10.1002/mma.10487","DOIUrl":"https://doi.org/10.1002/mma.10487","url":null,"abstract":"In this paper, we consider the viscoelastic Kirchhoff plate equation with memory and time delay. Under appropriate conditions on the real numbers and , we prove the existence of a compact global attractor with finite fractal dimension through a stabilizability estimate. Additionally, we demonstrate the existence of a fractal exponential attractor. To the best of our knowledge, these findings are novel for for this system.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"15 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Minimal observability of switching Boolean networks","authors":"Yupeng Sun, Shihua Fu, Liyuan Xia, Jiayi Xu","doi":"10.1002/mma.10485","DOIUrl":"https://doi.org/10.1002/mma.10485","url":null,"abstract":"In this paper, the minimal observability of switching Boolean networks (SBNs) is investigated. Firstly, applying the semi‐tensor product (STP) method of matrices, a parallel extension system is constructed, based on which a necessary and sufficient condition to detect the observability of the SBNs is given. Secondly, when an SBN is unobservable, the specific steps to obtain the required measurements to make the system observable are given using the set reachable method; however, the measurements given in this part are not necessarily the fewest. Then, a criterion for determining the minimum number of measurements is further proposed through a constructed indicator matrix. Lastly, the effectiveness of the new results is verified by an example.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"9 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exponential stability for a classical structural acoustic model with thermoelastic boundary control","authors":"Marcio V. Ferreira","doi":"10.1002/mma.10496","DOIUrl":"https://doi.org/10.1002/mma.10496","url":null,"abstract":"The uniform stabilization of a coupled system arising in the active control of noise in a cavity with a flexible boundary (strings under thermal effects) is considered. Unlike most articles on this subject, which employ the scalar wave equation when analyzing the asymptotic behavior of structural acoustic models, in this paper, we consider classical equations in terms of flow velocity and pressure to describe the acoustic vibrations of the fluid which fills the cavity. This allows to consider, for example, more realistic boundary conditions to model the coupling on the interface between the acoustic chamber and the wall. The main result of this paper, concerning the exponential stability of the model, is established by means of the frequency domain method and the semigroup theory. This method can be adapted to other first‐order hyperbolic dissipative systems as well.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"31 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spatial propagation in a delayed spruce budworm diffusive model","authors":"Lizhuang Huang, Zhiting Xu","doi":"10.1002/mma.10490","DOIUrl":"https://doi.org/10.1002/mma.10490","url":null,"abstract":"We investigate the spatial propagation in a delayed spruce budworm diffusive model <jats:disp-formula> </jats:disp-formula>where and represent, respectively, the incubation and the maturation delays for the spruce budworm. We find the minimal wave speed to determine the existence of traveling wave fronts of the model. More specifically, the model admits traveling wave fronts when ; the model has no traveling wave solutions when . The proofs are based on combining the upper and lower solutions with the approach of Wu and Zou's theorems, the limit arguments, and Laplace transform. The obtained results help us to understand the spreading patterns and the spreading speed of spruce budworm population.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"11 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations","authors":"Saliha Demirbüken, Coşkun Yakar","doi":"10.1002/mma.10498","DOIUrl":"https://doi.org/10.1002/mma.10498","url":null,"abstract":"In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"9 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical analysis of fractional-order Euler–Bernoulli beam model under composite model","authors":"Shuai Zhu,&nbsp;Yanfei Ma,&nbsp;Yanyun Zhang,&nbsp;Jiaquan Xie,&nbsp;Ning Xue,&nbsp;Haidong Wei","doi":"10.1002/mma.10444","DOIUrl":"10.1002/mma.10444","url":null,"abstract":"<p>The primary objective of this study is to develop a new constitutive model by combining a fractional-order Kelvin–Voigt model with an Abel dashpot element in parallel. Subsequently, this new model will be incorporated into the Euler–Bernoulli beam's governing equation, utilizing shifted Legendre polynomials as basis functions, a classical orthogonal polynomial system, to solve the fractional-order partial differential equations. By comparing the numerical solutions with the analytical solutions, we aim to evaluate the applicability of shifted Legendre polynomials in solving such problems and the accuracy of the obtained numerical solutions. Furthermore, we will investigate the performance of viscoelastic HDPE beams under different loading conditions and conduct a comparative analysis of the displacements of HDPE beams under the new constitutive model and the traditional fractional-order Kelvin–Voigt model. Through this research, we hope to gain a deeper understanding of the characteristics of fractional-order phenomena and provide more accurate and efficient numerical simulation and analysis methods for the field of structural mechanics, promoting the development of related engineering applications.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 2","pages":"2434-2445"},"PeriodicalIF":2.1,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}