Partial slip problem in frictional contact of orthotropic elastic half-plane and rigid punch

Shen, Jiachen; Wu, Ya Yong; Lin, Jin Xing; Xu, Feng; Li, Cheng Gang

doi:10.1016/j.ijmecsci.2017.11.022

Cited by 6 publications

(3 citation statements)

References 19 publications

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“…3–14 The same elastostatic approximation was considered for the solutions of contact problems involving finite-thickness and semi-infinite models of orthotropic homogenous/graded media. 15–24…”

Section: Introductionmentioning

confidence: 99%

“…[3][4][5][6][7][8][9][10][11][12][13][14] The same elastostatic approximation was considered for the solutions of contact problems involving finite-thickness and semi-infinite models of orthotropic homogenous/graded media. [15][16][17][18][19][20][21][22][23][24] The punch speed, which is the prominent dynamic factor in sliding contact problems, should be considered as far as possible to increase the simulation capability of analytical solutions. Galin 25 examined whether it was necessary to take into account the dynamic character of the problem for contact problems involving moving punches.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic frictional contact mechanics between a functionally graded orthotropic medium and a moving flat punch

Balcı

Arslan

2022

Proceedings of the Institution of Mechanical Engineers, Part J:

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The present study establishes a general theory for dynamic frictional contact mechanics between an orthotropic graded half-plane and a moving rigid punch of a flat profile. The rigid punch moves over the orthotropic graded half-plane at a constant subsonic speed. Analytical method is developed for the contact mechanics problem based on two-dimensional elastodynamics. Stresses in the orthotropic graded medium are determined considering plane elasticity. Governing partial differential equations are solved analytically by the use of Galilean and Fourier transformations. The unknown functions appearing in the displacement components are determined considering the surface boundary conditions. The mixed boundary value problem is then reduced to a singular integral equation of the second kind which is solved numerically using an appropriate expansion-collocation technique. The contact stress results of the present analytical study are compared to those generated through a finite element analysis regarding the elastostatic case. Moreover, the contact stress results obtained in the elastodynamic case are also verified using some analytical results available in the literature. Successful agreement is attained in all the comparative analyses. Normal contact stress, lateral contact stress and punch stress intensity factors are calculated for various values of punch speed, coefficient of friction, in-homogeneity constant and orthotropic elastic constants. Results of the present study clearly indicates that the utilization of elastodynamic theory is crucial to get more realizable and accurate estimations of contact stresses especially in high speed sliding conditions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic frictional contact mechanics between a functionally graded orthotropic medium and a moving flat punch

Balcı

Arslan

2022

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…Shen et al. 19 put forward an analytical solution for the partial-slip contact problem between a flat stamp and an orthotropic half-plane. Kucuksucu et al.…”

Section: Introductionmentioning

confidence: 99%

Frictional contact problem of an anisotropic laterally graded layer loaded by a sliding rigid stamp

Arslan

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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This study proposes analytical and computational methods for the solution of the sliding frictional contact problem of an anisotropic laterally graded layer loaded by an arbitrarily shaped rigid stamp. The plane-strain orthotropy prevails in the layer which is bonded to a rigid foundation. Each of four orthotropic stiffness coefficients is exponentially varied through the lateral direction of the elastic layer. The Fourier transformations of the field variables are employed in the formulation. The gradient of a displacement component on the surface is then converted to a singular integral equation of the second kind. The singular integral equation is solved by means of the Gauss–Jacobi quadrature integration techniques, a collocation method, and a recursive integration method for the Cauchy integral considering the flat and triangular stamp profiles. The finite element method solutions of the same contact problems are performed using the augmented Lagrange method which is implemented in virtue of ANSYS design parametric language. An iterative algorithm is additionally utilized for the (incomplete) triangular stamp problem to conveniently reach the solutions for predetermined contact lengths. The convergence and comparative analyses are carried out to elucidate the trustworthiness of the analytical and computational methods proposed. Moreover, the parametric analyses infer that the contact-induced damage risks can be effectively alleviated upon tuning the degree of orthotropy and the lateral heterogeneity of the elastic layer.

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Analytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerations

Öner,

Al-Qado

2024

Acta Mech

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Partial slip problem in frictional contact of orthotropic elastic half-plane and rigid punch

Cited by 6 publications

References 19 publications

Dynamic frictional contact mechanics between a functionally graded orthotropic medium and a moving flat punch

Dynamic frictional contact mechanics between a functionally graded orthotropic medium and a moving flat punch

Frictional contact problem of an anisotropic laterally graded layer loaded by a sliding rigid stamp

Analytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerations

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