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Influence of a soft FGM interlayer on contact stresses under a beam on an elastic foundation
Sergey M. Aizikovich,Boris I. Mitrin,Nikolai M. Seleznev,Yun-Che Wang,Sergey S. Volkov 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.58 No.4
Contact interaction of a beam (flexible element) with an elastic half-plane is considered, when a soft inhomogeneous (functionally graded) interlayer is present between them. The beam is bent under the action of a distributed load applied to the surface and a reaction of the elastic interlayer and the half-space. Solution of the contact problem is obtained for different values of thickness and parameters of inhomogeneity of the layer. The interlayer is assumed to be significantly softer than the underlying halfplane; case of 100 times difference in Young’s moduli is considered as an example. The influence of the interlayer thickness and gradient of elastic properties on the distribution of the contact stresses under the beam is studied.
Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer
Sergey S. Volkov,Alexander N. Litvinenko,Sergey M. Aizikovich,Yun-Che Wang,Andrey S. Vasiliev 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.59 No.2
A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace 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.
Residual stress in an elastoplastic annular disc interacting with an elastic inclusion
Zarandi, Somayeh Bagherinejad,Lai, Hsiang-Wei,Wang, Yun-Che,Aizikovich, Sergey M. Techno-Press 2019 Coupled systems mechanics Vol.8 No.3
Elastoplastic analysis of an annular disc, being fully constrained on its outer rim and interacting with a purely elastic inclusion perfectly bonded with its inner rim, is conducted to study its plastic deformation and residual stress under thermal cycles. The system is termed the composite disc. Quasi-static plane-strain deformation is assumed, and the von Mises yield criterion with or without the Ludwik hardening rule is adopted in our finite element calculations. Effects of multiple material properties simultaneously being temperature dependent on the plastic behavior of the composite disc are considered. Residual stress is analyzed from a complete loading and unloading cycle. Results are discussed for various inclusion radii. It is found that when temperature dependent material properties are considered, the maximum residual stress may be greater than the maximum stress inside the disc at the temperature-loaded state due to lower temperature having larger yield stress. Temperature independent material properties overestimate stresses inside materials, as well as the elastic irreversible temperature and plastic collapse temperature.