Response of thermoelastic functionally graded beam due to ramp type heating in modified couple stress with dual-phase-lag model

被引：8

作者：

Kumar R. ^{[1
]}

Devi S. ^{[2
]}

机构：

[1] Department of Mathematics, Kurukshetra University, Kurukshetra

[2] Department of Mathematics and Statistics, Himachal Pradesh University, Shimla

来源：

Multidiscipline Modeling in Materials and Structures | 2017年 / 13卷 / 03期

关键词：

Dual-phase-lags; Functionally graded beam; Laplace transform; Ramp type heating; Thermoelasticity;

D O I：

10.1108/MMMS-05-2017-0034

中图分类号：

学科分类号：

摘要：

Purpose - The purpose of this paper is to investigate the thermoelastic functionally graded beam in a modified couple stress theory subjected to a dual-phase-lag model. Design/methodology/approach - The governing equations are solved by using the Euler-Bernoulli beam assumption and the Laplace transform technique. The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are obtained by ramp type heating in the transformed domain. A general algorithm of the inverse Laplace transform is developed to recover the results in a physical domain. Findings - The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are computed numerically and presented graphically to show the effect of ramp time parameter and phase lags of heating. Originality/value - Comparisons are made in the absence and presence of coupled dual-phase-lag thermoelastic and coupled thermoelastic L-S theories and also different values of ramp type parameter. © Emerald Publishing Limited.

引用

页码：471 / 488

页数：17

共 43 条

[1]

Abbas I.A., Generalized thermoelastic interaction in functional graded material with fractional order three-phase lag heat transfer, Journal of Central South University, 22, 5, pp. 1606-1613, (2015)

[2]

Abbas I.A., Kumar R., Rani L., Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating, Applied Mathematics and Computation, 254, pp. 360-369, (2015)

[3]

Abouelregal A.E., Zenkour A.M., Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating, Iranian Journal of Science and Technology: Transactions of Mechanical Engineering, 38, M2, pp. 321-335, (2014)

[4]

Akbarzadeh A.H., Fu J.W., Chen Z.T., Three-phase-lag heat conduction in a functionally graded hollow cylinder, Transactions of the Canadian Society for Mechanical Engineering, 38, 1, pp. 155-171, (2014)

[5]

Asghari M., Rahaeifard M., Kahrobaiyan M.H., Ahmadian M.T., The modified couple stress functionally graded Timoshenko beam formulation, Materials and Design, 32, 3, pp. 1435-1443, (2011)

[6]

Chen W., Wang Y., A model of composite laminated Reddy plate of the global-local theory based on new modified couple-stress theory, Mechanics of Advanced Materials and Structures, 23, 6, pp. 636-651, (2016)

[7]

Cosserat E., Cosserat F., Theory of Deformable Bodies, (1909)

[8]

Green A.E., Lindsay K.A., Thermoelasticity, Journal of Elasticity, 2, 1, pp. 1-7, (1972)

[9]

Green A.E., Naghdi P.M., On undamped heat waves in an elastic solid, Journal of Thermal Stresses, 15, 2, pp. 253-264, (1992)

[10]

Hetnarski R.B., Ignaczak J., Solution-like waves in a low temperature nonlinear thermoelastic solid, International Journal of Engineering Science, 34, 4, pp. 1767-1787, (1996)

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