{"title":"具有双相滞后的双孔分数阶热弹性介质圆板的轴对称变形","authors":"Aseem Miglani, Rajneesh Kumar, Amarjyot Kaur, Monika Kalra","doi":"10.1007/s00707-024-04092-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, an axisymmetric deformation problem of a circular plate of double-porous medium with fractional order thermoelastic dual-phase-lag has been discussed by taking a mathematical model. The solution of the problem is obtained in the transformed field of Laplace and Hankel transforms using eigen value approach in dimensionless form. The solution in the transformed form is inverted numerically for a specific model using a numerical inversion technique for integral transforms through a programme code in MATLAB. The numerical results are discussed graphically, and the impact of the fractional order parameter on various field quantities (normal stress, shear stress, equilibrated stresses and temperature distribution) is observed. Particular cases are discussed by (i) neglecting the porous parameters and (ii) taking different combinations of phase-lag parameters and fractional order parameter, to describe the generalized nature of the problem and the validity of the problem considered.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7263 - 7278"},"PeriodicalIF":2.3000,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Axisymmetric deformation of a circular plate of double-porous fractional order thermoelastic medium with dual-phase-lag\",\"authors\":\"Aseem Miglani, Rajneesh Kumar, Amarjyot Kaur, Monika Kalra\",\"doi\":\"10.1007/s00707-024-04092-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, an axisymmetric deformation problem of a circular plate of double-porous medium with fractional order thermoelastic dual-phase-lag has been discussed by taking a mathematical model. The solution of the problem is obtained in the transformed field of Laplace and Hankel transforms using eigen value approach in dimensionless form. The solution in the transformed form is inverted numerically for a specific model using a numerical inversion technique for integral transforms through a programme code in MATLAB. The numerical results are discussed graphically, and the impact of the fractional order parameter on various field quantities (normal stress, shear stress, equilibrated stresses and temperature distribution) is observed. Particular cases are discussed by (i) neglecting the porous parameters and (ii) taking different combinations of phase-lag parameters and fractional order parameter, to describe the generalized nature of the problem and the validity of the problem considered.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"235 12\",\"pages\":\"7263 - 7278\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-024-04092-w\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04092-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Axisymmetric deformation of a circular plate of double-porous fractional order thermoelastic medium with dual-phase-lag
In this paper, an axisymmetric deformation problem of a circular plate of double-porous medium with fractional order thermoelastic dual-phase-lag has been discussed by taking a mathematical model. The solution of the problem is obtained in the transformed field of Laplace and Hankel transforms using eigen value approach in dimensionless form. The solution in the transformed form is inverted numerically for a specific model using a numerical inversion technique for integral transforms through a programme code in MATLAB. The numerical results are discussed graphically, and the impact of the fractional order parameter on various field quantities (normal stress, shear stress, equilibrated stresses and temperature distribution) is observed. Particular cases are discussed by (i) neglecting the porous parameters and (ii) taking different combinations of phase-lag parameters and fractional order parameter, to describe the generalized nature of the problem and the validity of the problem considered.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.