A Reissner-Sagoci problem for a non-homogeneous elastic solid |
| |
| Authors: | Professor Chairman A. P. S. Selvadurai B. M. Singh J. Vrbik |
| |
| Affiliation: | (1) Department of Civil Engineering, Carleton University, K1S 5B6 Ottawa, Ontario, Canada;(2) Department of Civil Engineering, Brock University, L2S 3A1 St. Catherines, Ontario, Canada |
| |
| Abstract: | The present paper examines the elastostatic problem related to the axisymmetric rotation of a rigid circular punch which is bonded to the surface of a non-homogeneous isotropic elastic halfspace. The non-homogeneity corresponds to an axial variation of the linear elastic shear modulus according to the exponential form % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4raiaacI% cacaWG6bGaaiykaiabg2da9iaadEeadaWgaaWcbaGaaGymaaqabaGc% cqGHRaWkcaWGhbWaaSbaaSqaaiaaikdaaeqaaOGaaeiiaiaabwgada% ahaaWcbeqaaiaab2cacqaH+oaEcaqG6baaaaaa!439C![G(z) = G_1 + G_2 {text{ e}}^{{text{ - }}xi {text{z}}} ]. A Hankel transform development of the governing equations yields a set of dual integral equations which in turn can be reduced to a Fredholm integral equation of the second kind. A numerical evaluation of this integral equation yields results which can be used to estimate the torque-twist relationship for the circular punch. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
