e9e94d33-ce27-462a-8612-472aabab781f20211122033140857wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS2224-34291991-874710.37394/232011http://wseas.org/wseas/cms.action?id=40063420213420211610.37394/232011.2021.16https://wseas.org/wseas/cms.action?id=23298An Elastic Half Space with a Moving PunchSandipSahaDepartment of Mathematics, Madanapalle Institute of Technology And Science, Andhra Pradesh517325, INDIAVikashKumarDepartment of Mathematics, Madanapalle Institute of Technology And Science, Andhra Pradesh517325, INDIAApurbaNarayan DasDepartment of Mathematics, Alipurduar University, Alipurduar, West Bengal-736121, INDIAThe dynamic problem of a punch with rounded tips moving in an elastic half-space in a fixed direction has been considered. The static problem of determining stress component under the contact region of a punch has also been solved. Fourier integral transform has been employed to reduce the problems in solving dual integral equations. These integral equations have been solved using Cooke’s [1] result (1970) to obtain the stress component. Finally, exact expressions for stress components under the punch and the normal displacement component in the region outside the punch have been derived. Numerical results for stress intensity factor at the punch end and torque applied over the contact region have been presented in the form of graph.112220211122202124524927https://wseas.com/journals/mechanics/2021/a545106-1504.pdf10.37394/232011.2021.16.27https://wseas.com/journals/mechanics/2021/a545106-1504.pdfL. A. Galian, Contact problems in elasticity theory, Rayleigh: North Carolina Stage College, 1961. G. M. L. Gladwell, Contact problems in classical theory of elasticity, Sijth and Noordhooff, The Netharlends, 1980. 10.1016/0020-7683(69)90046-8C. Sve & L. M. Keer, Indentation of elastic layer by moving punches. I. J. 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Sci., 104, 87-96,2016 10.46300/9104.2020.14.14Zdeněk Kala, "Limit States of Structures and Global Sensitivity Analysis Based on Cramér-von Mises Distance", International Journal of Mechanics, pp.107-118, Volume 14, 2020 10.37394/23206.2021.20.42Diana Rubio, Domingo A. Tarzia, Guillermo F. Umbricht, "Heat Transfer Process with Solid-solid Interface: Analytical and Numerical Solutions", WSEAS Transactions on Mathematics, vol. 20, pp. 404-414, 2021 10.37394/23206.2021.20.2I. G. Burova, "Application Local Polynomial and Non-polynomial Splines of the Third Order of Approximation for the Construction of the Numerical Solution of the Volterra Integral Equation of the Second Kind", WSEAS Transactions on Mathematics, vol. 20, pp. 9-23, 2021. 10.1177/1081286520915272I.Comez, M.A.Guler. On contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane. Math and Mech. of solids. 25(10)1924-1942, 2020 10.46300/9104.2020.14.29Ilyas Renreng, Muh. Farid Hidayat, Fauzan Djamaluddin, Crashworthiness Analysis of Octagonal-Inner Double Tube with different thickness under Off-Axis Oblique Load, International Journal of Mechanics, pp. 226-232, Volume 14, 2020 10.46300/9104.2020.14.19Adel M. Al-Mahd ,On the Long-time Behavior of the Solution of a Non Linear Viscoelastic Plate Equation with infinite Memory and General Kernel, International Journal of Mechanics, pp. 141-150, Volume 14, 2020