Research Papers: Contact Mechanics

An Elastoplastic Finite Element Study of Displacement-Controlled Fretting in a Plane-Strain Cylindrical Contact

[+] Author and Article Information
Huaidong Yang

Georgia Institute of Technology,
G. W. Woodruff School of
Mechanical Engineering,
Atlanta, GA 30332-0405
e-mail: hyang380@gatech.edu

Itzhak Green

Georgia Institute of Technology,
G. W. Woodruff School of
Mechanical Engineering,
Atlanta, GA 30332-0405
e-mail: green@gatech.edu

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received October 17, 2017; final manuscript received December 30, 2017; published online February 22, 2018. Assoc. Editor: Sinan Muftu.

J. Tribol 140(4), 041401 (Feb 22, 2018) (11 pages) Paper No: TRIB-17-1391; doi: 10.1115/1.4038984 History: Received October 17, 2017; Revised December 30, 2017

This work presents a finite element study of a two-dimensional (2D) plane strain fretting model of a half cylinder in contact with a flat block under oscillatory tangential loading. The two bodies are deformable and are set to the same material properties (specifically steel), however, because the results are normalized, they can characterize a range of contact scales (micro to macro), and are applicable for ductile material pairs that behave in an elastic-perfectly plastic manner. Different coefficients of friction (COFs) are used in the interface. This work finds that the edges of the contacting areas experience large von Mises stresses along with significant residual plastic strains, while pileup could also appear there when the COFs are sufficiently large. In addition, junction growth is investigated, showing a magnitude that increases with the COF, while the rate of growth stabilization decreases with the COF. The fretting loop (caused by the tangential force during the fretting motion) for the initial few cycles of loading is generated, and it compares well with reported experimental results. The effects of boundary conditions are also discussed where a prestressed compressed block is found to improve (i.e., reduce) the magnitude of the plastic strain compared to an unstressed block.

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Fig. 1

Schematic of a half-cylinder in contact with a flat block, along with the loading definitions: (a) displacement-controlled inputs and reaction outputs and (b) cylinder-block dimensions and displacement directions

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Fig. 2

Finite element model in ANSYS 17.1

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Fig. 3

Load stepping of six cycles oscillatory horizontal load

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Fig. 4

Progression of von Mises stresses at 1*ωc vertical interference during the first cycle (a)–(n) and the last point (o) at the end of six cycles of horizontal loading with μ=1: (a) 0*ωc at A1-B1, (b) 0.1*ωc at A1-B1, (c) 0.3*ωc at A1-B1, (d) 0.5*ωc at A1-B1, (e) 0.6*ωc at A1-B1, (f) 0.7*ωc at A1-B1, (g) 1*ωc at A1-B1, (h) 0.9*ωc at B1-C1, (i) 0.5*ωc at B1-C1, (j) 0*ωc at B1-C1, (k)−0.2*ωc at C1-D1, (l) −1*ωc at C1-D1, (m) −0.9*ωc at D1-A2, (n) 0*ωc at D1-A2, and (o) 0*ωc at D6-A7

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Fig. 5

The distribution of the equivalent plastic strain after three cycles of horizontal load near the contacting area: (a) 0.7*ωc interference, μ = 1, maximum εp = 2.84; (b) 1*ωc interference, μ = 1, maximum εp = 1.82; (c) 3*ωc interference, μ = 1, maximum εp = 0.17; and (d) 3*ωc interference, μ = 0.3, maximum εp = 0.0024

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Fig. 6

The distribution of the equivalent plastic strain on the contacting surface of the cylinder at 1*ωc interference with μ = 1

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Fig. 7

The development of junction growth at 1*ωc interference for fictional and frictionless contacts during six cycles of load

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Fig. 8

The development of junction growth at 3*ωc interference with different COFs during three cycles of load

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Fig. 9

The development of tangential force at 1*ωc interference with μ = 1 during six cycles of load

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Fig. 10

The curve of the surface of the block after 1*ωc interference

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Fig. 11

The scars on the surface of the block at 3*ωc interference after three cycles of load

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Fig. 12

The junction growth results of the first quarter of the loading cycle at 1*ωc interference with μ = 1 in different types of boundary conditions

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Fig. 13

The distribution of equivalent plastic strain on the surface of the block after one cycle of loading at 1*ωc interference with μ = 1 in different types of boundary conditions

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Fig. 14

The contact model to derive the compression of the elastic cylinder in contact with an elastic block: (a) the model in contact mechanics by Johnson [2] and (b) the equivalent model of the compression of the half cylinder herein



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