On the frictional receding contact between a graded layer and an orthotropic substrate indented by a rigid flat-ended stamp

Cao, Rui; Li, Ling; Li, Xiaobao; Mi, Changwen

doi:10.1016/j.mechmat.2021.103847

Cited by 18 publications

(8 citation statements)

References 26 publications

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“…as the strain components in the cylindrical Love-Kirchhoff thin shell. The constitutive equations for an orthotropic linear elastic material in the cylindrical coordinate system can be written as [20][21][22][23][24] where s ij (i, j 2 {x, u, z}) are the components of the Cauchy stress tensor, and C ij (i, j 2 {1, 2, 3, 4, 5, 6}) are the components of the elastic stiffness matrix, which contains nine independent components for the orthotropic material.…”

Section: Orthotropic Cylindrical Shell Model With the Rotary Inertia ...mentioning

confidence: 99%

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Critical velocities and displacements of anisotropic tubes under a moving pressure

Gao

Littlefield

2022

Mathematics and Mechanics of Solids

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Critical velocities and middle-surface displacements of anisotropic axisymmetric cylindrical shells (tubes) under a uniform internal pressure moving at a constant velocity are derived in closed-form expressions by using the Love–Kirchhoff thin shell theory incorporating the rotary inertia and material anisotropy. The formulation is based on the general three-dimensional constitutive relations for orthotropic elastic materials and provides a unified treatment of orthotropic, transversely isotropic, cubic and isotropic tubes, which can represent various composite and metallic tubes. Closed-form formulas are first obtained for the general case with both the rotary inertia and radial stress effects, which are then reduced to the special cases without the rotary inertia effect and/or radial stress effect. It is shown that when the rotary inertia effect is suppressed and the radial normal stress is neglected, the newly derived formulas for the critical velocities of orthotropic and isotropic tubes recover the two existing ones for thin tubes as special cases. An example for an isotropic tube is provided to illustrate the new formulas, which give the values of the critical velocity and dynamic amplification factor that agree well with those obtained experimentally and computationally by others.

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Section: Orthotropic Cylindrical Shell Model With the Rotary Inertia ...mentioning

confidence: 99%

“…The constitutive equations for an orthotropic linear elastic material in the cylindrical coordinate system can be written as [20–24]…”

Section: Orthotropic Cylindrical Shell Model With the Rotary Inertia ...mentioning

confidence: 99%

Critical velocities and displacements of anisotropic tubes under a moving pressure

Gao

Littlefield

2022

Mathematics and Mechanics of Solids

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“…Ozsahin and TaskJner [41] investigated an elastic layer on an elastic half plane loaded by three rigid flat indenters. A recent study [42] solved for the frictional receding contact between an FG layer and an orthotropic substrate under the indentation of a rigid flat-ended indenter, and Cao and Mi [43] investigated the receding contact between a graded and a homogeneous layer.…”

Section: Introductionmentioning

confidence: 99%

Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials

Yan

2022

Crystals

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This paper studies a receding contact problem of a functionally graded layer laminate pressed against a functionally graded coated homogeneous half-plane substrate by a rigid flat indenter. The shear modulus of the functionally graded materials with a constant Poisson’s ratio is modeled by an exponential function which varies along the thickness direction. Both the governing equations and the boundary conditions of the receding contact problem are converted into a pair of singular integral equations using the Fourier integral transforms, which are numerically integrated by the Chebyshev–Gauss quadrature. The contact pressure and the contact size at both contact interfaces are eventually obtained iteratively, as developed from the steepest descent algorithm. Extensive parametric studies suggest that it is possible to regulate the contact pressure and contact size by constructing the top layer from a soft functionally graded material.

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“…Zhou et al 20 carried out transient thermo-electro-elastic contact analysis of a frictional punch acting on a functionally graded piezoelectric strip. Cao et al 21 developed a solution for receding contact of an FGM layer on an orthotropic substrate. Nili et al 22 examined the rolling contact of graded coatings under frictional heating.…”

Section: Introductionmentioning

confidence: 99%

Multi-layer model for moving contact problems of functionally graded coatings with general variations in physical properties

Toktaş

Dağ

2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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This paper presents a multi-layer model for moving contact problems of functionally graded coatings whose physical properties have general spatial variations. The coating is assumed to be composed of an arbitrary number of layers and perfectly bonded to an elastic substrate. Wave equations for the layers and the substrate are derived in accordance with the plane theory of elastodynamics. The equations are solved by the application of Galilean and Fourier transformations. Flat and triangular punch profiles are considered, and the formulation is reduced to a singular integral equation of the second kind in both cases. The integral equations are solved by means of Jacobi expansion and collocation techniques. Proposed procedures are verified through comparisons to the results available for a special case in the literature. Parametric analyses are carried out for functionally graded coatings possessing ceramic-rich, metal-rich, and linear profiles. The results presented demonstrate the influences of factors such as punch speed, coefficient of friction, material property variation profile, and contact-length-to-thickness ratio on contact stresses, punch stress intensity factors, and required contact force. It is shown that the multi-layer model is required to account for general property distributions in a functionally graded coating subject to moving contact.

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On the frictional receding contact between a graded layer and an orthotropic substrate indented by a rigid flat-ended stamp

Cited by 18 publications

References 26 publications

Critical velocities and displacements of anisotropic tubes under a moving pressure

Critical velocities and displacements of anisotropic tubes under a moving pressure

Receding Contact Problem of Multi-Layered Elastic Structures Involving Functionally Graded Materials

Multi-layer model for moving contact problems of functionally graded coatings with general variations in physical properties

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