Solution of the dynamic frictional contact problem between a functionally graded coating and a moving cylindrical punch

Dağ, Serkan
This paper presents an analytical method developed to investigate the dynamic frictional contact mechanics between a functionally graded coating and a rigid moving cylindrical punch. Governing partial differential equations of elastodynamics are solved analytically by applying Galilean and Fourier transformations. Interface continuity and boundary conditions are written and contact problem is then reduced to a singular integral equation of the second kind. The singular integral equation is solved numerically by means of an expansion-collocation method. Developed solution procedures are verified through the comparisons made to the results available in the literature. Presented parametric analyses illustrate the effects of punch speed, coefficient of friction, material inhomogeneity and geometric parameters upon the contact stresses. It is shown that, especially at higher punch speeds, the difference between contact stresses obtained through elastodynamic and elastostatic solutions is rather significant. A formulation based on the elastodynamic theory, as presented in the current study, is required to compute more realistic contact stresses.


Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space
Miehe, Christian; Göktepe, Serdar; Mendez Diez, Joel (Elsevier BV, 2009-01-01)
The paper outlines a new constitutive model and experimental results of rate-dependent finite elastic-plastic behavior of amorphous glassy polymers. In contrast to existing kine-matical approaches to finite viscoplasticity of glassy polymers, the formulation proposed is constructed in the logarithmic strain space and related to a six-dimensional plastic metric. Therefore, it a priori avoids difficulties concerning with the uniqueness of a plastic rotation. The constitutive framework consists of three major ...
Coupled thermoviscoplasticity of glassy polymers in the logarithmic strain space based on the free volume theory
Miehe, Christian; Mendez Diez, Joel; Göktepe, Serdar; Schaenzel, Lisa Marie (Elsevier BV, 2011-06-15)
The paper outlines a constitutive model for finite thermo-visco-plastic behavior of amorphous glassy polymers and considers details of its numerical implementation. In contrast to existing kinematical approaches to finite plasticity of glassy polymers, the formulation applies a plastic metric theory based on an additive split of Lagrangian Hencky-type strains into elastic and plastic parts. The analogy between the proposed formulation in the logarithmic strain space and the geometrically linear theory of pl...
Investigation of the variations in microstructure and mechanical properties of dual-matrix ductile iron by Magnetic Barkhausen Noise analysis
Gür, Cemil Hakan; Erdogan, Mehmet (Informa UK Limited, 2008-01-01)
The variations in the microstructure and tensile properties of dual-matrix ductile irons have been investigated non-destructively by Magnetic Barkhausen Noise (MBN) method. Specimens have been intercritically austenitised at 795 degrees C and 815 degrees C for 20 minutes, and then oil-quenched to obtain different martensite volume fractions. Two specimens, namely as-cast and oil-quenched from 900 degrees C, were prepared for comparison purpose. To investigate the effect of tempering, some specimens were tem...
Computation of Thermal Fracture Parameters for Inclined Cracks in Functionally Graded Materials Using Jk-Integral
Dağ, Serkan (Informa UK Limited, 2009-01-01)
This article describes the formulation and implementation of the Jk-integral for the analysis of inclined cracks located in functionally graded materials (FGMs) that are subjected to thermal stresses. The generalized definition of the Jk-integral over a vanishingly small curve at the tip of an inclined crack is converted to a domain independent form that consists of area and line integrals defined over finite domains. A numerical procedure based on the finite element method is then developed, which allows t...
ARDIC, ES; BOLCAN, C; Kayran, Altan (Elsevier BV, 1994-12-01)
In this study, a method of strain and stress analysis is developed to determine the stress and strain fields in fibers and matrix of a laminated composite for the cases of nonlinear strain and stress distributions with high gradients. The strain values calculated by using a classical method are considered as input, and the strain fields at each layer are determined. These strain fields are then used as input to express the strains in fibers and matrix. In these processes the heterogeneity effects, which ...
Citation Formats
M. N. BALCI and S. Dağ, “Solution of the dynamic frictional contact problem between a functionally graded coating and a moving cylindrical punch,” INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, pp. 267–281, 2019, Accessed: 00, 2020. [Online]. Available: