S. P. Barik

Bio: S. P. Barik is an academic researcher from Gobardanga Hindu College. The author has contributed to research in topics: Functionally graded material & Thermoelastic damping. The author has an hindex of 4, co-authored 13 publications receiving 81 citations. Previous affiliations of S. P. Barik include University of Calcutta.

Frictionless contact of a rigid punch indenting an elastic layer having piezoelectric properties

Abstract: This article is concerned with the study of frictionless contact between a rigid punch and an elastic layer having piezoelectric properties. The rigid punch is assumed to be axially symmetric and is supposed to be pressing the elastic layer through an applied load on it. The layer is resting on a rigid base and is assumed to be sufficiently thick in comparison with the amount of indentation by the rigid punch. The relationship between the applied load and the contact area is obtained by solving the mathematically formulated problem through the use of Hankel transform of different orders. Variations of stresses and electric displacements on the surface of the layer and the piezoelectric effects on the load contact area relationship as well as normal stress have been numerically evaluated and shown graphically.

Effect of anisotropy on thermoelastic contact problem

Abstract: This paper is concerned with the stationary plane contact of an insulated rigid punch and a half-space which is elastically anisotropic but thermally conducting The frictional heat generation inside the contact region due to the sliding of the punch over the half-space surface and the heat radiation outside the contact region are taken into account With the help of Fourier integral transform, the problem is reduced to a system of two singular integral equations The equations are solved numerically by using Gauss-Jacobi and trapezoidal-rule quadratures The effects of anisotropy and thermal effects are shown graphically

Steady state thermoelastic problem in an infinite functionally graded solid with a crack

Abstract: A steady state thermoelastic problem in an infinite solid containing a penny-shaped crack has been considered. The solid is assumed to be elastically anisotropic and functionally graded with a gradient along the z-direction. Elastic coefficients, the coefficient of thermal conductivity and the thermal expansion coefficients are assumed to vary along z-direction. The problem is solved by using integral transform technique. The solution of the problem has been reduced to the solution of a Cauchy type singular integral equation, which requires numerical treatment. Both thermo-mechanical stress intensity factor (TMSIF) and thermal stress intensity factor (TSIF) have been extracted. The effects of non-homogeneity parameters of the graded material on various subjects of interest are discussed and are shown graphically.

Numerical Solution of Singular Integral Equations.

Abstract: : One encounters difficulties in the solution of integral equations, namely, the occurrence of singularities in the kernel, and the occurence of unknown-type singularities in the solution of the integral equation. Standard methods of approximation based on exactness for polynomials up to a certain degree are very poor, and frequently fail for functions having such singularities. The purpose of this contract was to develop methods for solving integral equations which work well in spite of the presence of singularities. This goal has been accomplished, in that the new approximation methods which were developed do work well in the presence of singularities. (Author)

Thermo-mechanical contact problems and elastic behaviour of single and double sides functionally graded brake disks with temperature-dependent material properties.

Abstract: A thermo-elastic contact problem of functionally graded materials (FGMs) rotating brake disk with different pure brake pad areas under temperature dependent material properties is solved by Finite Element Method (FEM). The properties of brake disk change gradually from metal to ceramic by power-law distribution along the radial direction from the inner to the outer surface. Areas of the pure pad are changing while the vertical force is constant. The ratio of brake pad thickness to FGMs brake disk thickness is assumed 0.66. Two sources of thermal loads are considered: (1) Heat generation between the pad and brake disk due to contact friction, and (2) External thermal load due to a constant temperature at inner and outer surfaces. Mechanical responses of FGMs disk are compared with several pad contact areas. The results for temperature-dependent and temperature-independent material properties are investigated and presented. The results show that the absolute value of the shear stress in temperature-dependent material can be greater than that for temperature-independent material. The radial stress for some specific grading index (n = 1.5) is compressive near the inner surface for double contact while it is tensile for a single contact. It is concluded that the radial strain for some specific value of grading index (n = 1) is lower than other FGMs and pure double side contact brake disks.

Plane waves in nonlocal thermoelastic solid with voids

Abstract: This work is concerned with the propagation of time harmonic plane waves in an infinite nonlocal thermoelastic solid having void pores. Three sets of coupled dilatational waves and an independent transverse wave may travel with distinct speeds in the medium. All these waves are found to be dispersive in nature, but the coupled dilatational waves are attenuating, while transverse wave is nonattenuating. Coupled dilatational waves are found to be influenced by the presence of voids, thermal field and elastic nonlocal parameter. While the transverse wave is found to be influenced by the nonlocal parameter, but independent of void and thermal parameters. For a particular model, the effects of frequency, void parameters, thermal parameter and nonlocality have been studied numerically on the phase speeds, attenuation coefficients and specific losses of all the propagating waves. All the computed results obtained have been depicted graphically and explained.