TY - JOUR
T1 - Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer
AU - Volkov, Sergey S.
AU - Litvinenko, Alexander N.
AU - Aizikovich, Sergey M.
AU - Wang, Yun Che
AU - Vasiliev, Andrey S.
N1 - Funding Information:
The authors acknowledge the support of the Russian Foundation for Basic Research (RFBR) grants nos. 14-07-00705-?, 15-07-05820-a, 15-38-20790-mol-a-ved, 14-08-92003-NNS-a. S.M. Aizikovich also acknowledges support of the Ministry of Education and Science of Russia in the framework of Government Assignment.
PY - 2016/7/25
Y1 - 2016/7/25
N2 - A circular plate with constant thickness, finite radius and stiff edge lying on an elastic half-space is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.
AB - A circular plate with constant thickness, finite radius and stiff edge lying on an elastic half-space is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.
UR - http://www.scopus.com/inward/record.url?scp=84977632845&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84977632845&partnerID=8YFLogxK
U2 - 10.12989/sem.2016.59.2.227
DO - 10.12989/sem.2016.59.2.227
M3 - Article
AN - SCOPUS:84977632845
VL - 59
SP - 227
EP - 241
JO - Structural Engineering and Mechanics
JF - Structural Engineering and Mechanics
SN - 1225-4568
IS - 2
ER -