Singular integral equation method for contact problem for rigidly connected punches on elastic half-plane

Chen, Y.Z.; Lin, X. Y.; Wang, Z.X.

doi:10.1016/j.amc.2010.12.046

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…Sackfield et al 23 established an analytical model of contact pressure distribution of rigid punch acting on elastic half-space considering a capsizing moment, in which the contact problems between the punch and the half-plane are divided into complete contact and receding contact, as shown in Figure 2. Chen et al 24 proposed a singular integral equation method to solve the contact problem that the multiple flat punches are pressed on the elastic half-plane where the punches are rigidly connected and the forces applied to the punches are arbitrary. Significantly, most of the above references are about the contact between a single punch and a half-plane.…”

Section: Introductionmentioning

confidence: 99%

Contact pressure distribution of Multi-cone friction pair considering capsizing moment and stress singularity at the interface end

Wang

Dou

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Contact characteristics of friction pair play a crucial role in the torque transmission capacity and temperature rise prediction of automotive clutches. In this study, a Multi-cone friction pair used in wet clutches has been proposed. Each pair of conical contact is considered as the contact between a finite stiffness punch and an elastic half-plane, and 2D finite element (FE) models are developed to calculate the contact load assignments. Considering the capsizing moment and stress singularity at the end of the contact interface, an analytic model is established to obtain the contact pressure distribution on each conical contact interface based on the results of contact load assignments. Finally, the numerical examples are given, and the influences of axial load, mating material characteristics, friction coefficient, and cone angle on contact pressure distribution have been discussed in detail, which supplies the guidance of parameters design for Multi-cone friction pair.

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Section: Introductionmentioning

confidence: 99%

Contact pressure distribution of Multi-cone friction pair considering capsizing moment and stress singularity at the interface end

Wang

Dou

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Argatov and Mishuris [2010] examined an axisymmetric contact problem for a biphasic cartilage layer with allowance for tangential displacements on the contact surface. Chen et al [2011] investigated the singular integral equation method for a contact problem of rigidly connected punches on an elastic half-plane. The contact problem for a layer was studied for the case when the elastic properties of the medium are arbitrary continuously differentiable functions of its thickness in Trubchik et al [2011].…”

Section: Introductionmentioning

confidence: 99%

Continuous contact problem for two elastic layers resting on an elastic half-infinite plane

Öner

Birinci

2014

J. Mech. Mater. Struct.

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The continuous contact problem for two elastic layers resting on an elastic half-infinite plane and loaded by means of a rigid stamp is presented. The elastic layers have different heights and elastic constants. An external load is applied to the upper elastic layer by means of a rigid stamp. The problem is solved under the assumptions that all surfaces are frictionless, body forces of elastic layers are taken into account, and only compressive normal tractions can be transmitted through the interfaces. General expressions of stresses and displacements are obtained by using the fundamental equations of the theory of elasticity and the integral transform technique. Substituting the stress and the displacement expressions into the boundary conditions, the problem is reduced to a singular integral equation, in which the function of contact stresses under the rigid stamp is unknown. The integral equation is solved numerically by making use of the appropriate Gauss-Chebyshev integration formula for circular and rectangular stamp profiles. The contact stresses under the rigid stamp, contact areas, initial separation loads, and initial separation distances between the two elastic layers and the lower-layer elastic half-infinite plane are obtained numerically for various dimensionless quantities and shown in graphics and tables.

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Singular integral equation method for contact problem for rigidly connected punches on elastic half-plane

Cited by 2 publications

References 9 publications

Contact pressure distribution of Multi-cone friction pair considering capsizing moment and stress singularity at the interface end

Contact pressure distribution of Multi-cone friction pair considering capsizing moment and stress singularity at the interface end

Continuous contact problem for two elastic layers resting on an elastic half-infinite plane

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