TY - JOUR
T1 - Impact indentation of a rigid body into an elastic layer. Axisymmetric problem
AU - Kubenko, V. D.
AU - Osharovich, G.
AU - Ayzenberg-Stepanenko, M. V.
N1 - Funding Information:
This research was supported by the Israeli Science Foundation (grant No. 504/08). The first author is indebted to Prof. Miriam Cohen, the director of the Center of Advanced Studies in Mathematics at the Ben-Gurion University of the Negev, for the opportunity to complete this collaboration work at the BGU Department of Mathematics.
PY - 2011/8/1
Y1 - 2011/8/1
N2 - An axisymmetric contact-impact problem is considered for an elastic layer subjected to normal indentation of a rigid body. An exact analytical solution is obtained in the case of a blunt shape of the indenter having a given velocity, and the stress pattern under multiple reflections is analyzed depending on the layer thickness. A numerical solution of the problem with arbitrary indenter shape is obtained on the basis of the simplified model of the theory of elasticity having a single displacement coincident with the impact direction. The explicit finite difference algorithm is designed on the basis of the mesh dispersion minimization technique. A parametric analysis is presented of the stress pattern developed with time with respect to variations of irregular shapes of the indenter and its masses.
AB - An axisymmetric contact-impact problem is considered for an elastic layer subjected to normal indentation of a rigid body. An exact analytical solution is obtained in the case of a blunt shape of the indenter having a given velocity, and the stress pattern under multiple reflections is analyzed depending on the layer thickness. A numerical solution of the problem with arbitrary indenter shape is obtained on the basis of the simplified model of the theory of elasticity having a single displacement coincident with the impact direction. The explicit finite difference algorithm is designed on the basis of the mesh dispersion minimization technique. A parametric analysis is presented of the stress pattern developed with time with respect to variations of irregular shapes of the indenter and its masses.
UR - https://www.scopus.com/pages/publications/79960568040
U2 - 10.1007/s10958-011-0429-0
DO - 10.1007/s10958-011-0429-0
M3 - Article
AN - SCOPUS:79960568040
SN - 1072-3374
VL - 176
SP - 670
EP - 687
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 5
ER -