Purpose In this paper, a solid circular cylinder of finite length occupying the space 0⩽r⩽1, 0⩽z⩽h is considered. The purpose of this paper is to adopt a linear hygrothermal effect to analyze the unsteady state responses in a finite long solid cylinder subjected to axisymmetric hygrothermal loading T=TR and C=CR at the surface. The analytical solution of temperature, moisture and thermal stresses is obtained by using the integral transform technique. The coupling and uncoupling effects of temperature, moisture and thermal stresses are discussed for a graphite fiber-reinforced epoxy matrix composite material (T300/5208). The numerical results of transient response hygrothermoelastic field are presented graphically. Design/methodology/approach In the present problem, hygrothermoelastic response of a finite solid circular cylinder has been investigated by integral transform technique consisting of Laplace transform, Hankel transform and Fourier-cosine transform. The problem is investigated subjected to prescribed sources. Numerical algorithm has been developed for numerical computation. Findings The analytical solution of temperature, moisture and thermal stresses is obtained by using the integral transform technique. The coupling and uncoupling effects of temperature, moisture and thermal stresses are discussed for a graphite fiber-reinforced epoxy matrix composite material (T300/5208). The numerical results of transient response hygrothermoelastic field are presented graphically. Research limitations/implications The work presented here is mostly hypothetical in nature and totally mathematical. Practical implications It may be useful for composite materials, composite laminated plates in hygrothermal environment. Also it is having the applications in hygrothermal field where porous media exposed to heat and moisture. The problem investigated will be beneficial for the researcher working in the field thermoelastic diffusion and hygrothermoelastic materials. Originality/value Till date, the other authors did the research work on hygrothermal effect of an infinitely long cylinder without thickness. In this paper, the authors consider finite solid cylinder with finite length and discuss the hygrothermal effect within a small range. Second, the material properties are both homogenous and isotropic and are independent of both temperature and moisture.
An attempt has been made to study the uncoupled thermoelastic response of thick cylinder of length 2h in which heat sources are generated according to the linear function of the temperature, with boundary conditions of the radiation type. This approach is based upon integral transform techniques, to find out the thermoelastic solution. The results are obtained in terms of Bessel functions in the form of infinite series.The uncoupled thermoelasticity of structural problems is frequently referred to in literature, where the assumption is used in the advanced engineering design problems for the structures under thermal shock loads. Numerical methods, such as the finite element and boundary element techniques, have also been applied to solve this class of problems. A number of analytical solutions of one dimensional uncoupled thermoelasticity problems in rectangular and cylindrical geometries have been published. The uncoupled thermomechanical phenomenon is of great importance in situations where the structures are subjected to highly various thermal conditions such as a sudden change in temperature. A number of practical examples can be seen in nuclear reactors and in structures of spacecraft and propulsion systems. However, there are only a few studies concerned with the two dimensional steady-state thermal stress. Study of the one dimensional thermoelastic waves produced by an instantaneous plane source of heat in homogeneous isotropic infinite and semi-infinite bodies of the Green-Lindsay type is presented by Hetnarski and Ignaczak. 1 Also in generalized thermoelasticity analysis of the laser-induced waves propagating in an absorbing thermoelastic semi-space of the Green-Lindsay type is expressed by Hetnarski and Ignaczak. 2 Bagri and Eslami 3 presented a solution for the generalized thermoelasticity of a disk.They employed the Laplace transform and the Galerkin finite element method to solve the governing equations. Eraslan and Orean 4 obtained the transient solution of the thermostatic-plastic deformation of internal heatgenerating tubes by using the partial differential solver PDECOL for this purpose. The PDECOL is based on the method of lines and uses a finite element collocation procedure for the discretization of the spatial variable. Ting and Chen, 5 Li et al., 6 and Eslami and Salehzadeh 7 applied the finite element method to solve thermoelastic problems by using governing equations formulated by Nowacki, 8 and Boley and Weiner. 9 Sharma and Sharma, 10 developed a mathematical model for predicting the response of a thick thermoelastic axisymmetric a) Corresponding author. Email: navneetkumarlamba@gmail.com.solid plate subjected to sudden lateral loading and thermal shock. Gosn and Sabbaghian, 11 obtained the one dimensional quasi-static coupled problems of thermoelasticity region.This paper concerns with the uncoupled thermoelastic response of a thick cylinder with radiation type boundary conditions discussed by employing heat sources generated according to the linear function of temperature, further temp...
The present article deals with the study of a two dimensional thermoelastic problem of nonhomogeneous thick hollow cylinder within the context of fractional order derivative of order 2 0 . In which convection boundary conditions are applied on the curved surface of cylinder with internal heat generation. The material properties other then Poisson's ratio and density are expresses by a simple power law in axial direction. Also lower and upper surface are assumed to be thermally insulated. The affect of inhomogeneity on the both thermal and mechanical behavior is determined. Numerical computations are carried out with the help of Mathematica software for both homogeneous and nonhomogeneous cylinders as well as illustrated graphically in figures.
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