A fast numerical method based on the Cauchy singular integral equations is presented to determine the contact pressure and extents for the contact of two-dimensional similar isotropic bodies when the contact area consists of two separate regions. The partial-slip problem is then solved to determine shear tractions using an equivalence principle. The extents of the contact are not all independent but related to a compatibility equation constraining the displacements of an elastic body in contact with an equivalent rigid body. A similar equation is found for the extents of the stick zones in partial-slip problems. The effects of load history are incorporated into the shear solution. The method is applicable to a wide range of profiles and it provides significant gains in computational efficiency over the finite element method (FEM) for both the pressure and partial-slip problems. The numerical results obtained are compared with that from the FEM for a biquadratic indenter with a single concavity and showed good agreement. Lastly, the transition behavior from double to single contacts in biquadratic profiles is investigated.
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e-mail: nsundara@purdue.edu
e-mail: farrist@purdue.edu
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November 2008
Research Papers
Numerical Analysis of Double Contacts of Similar Elastic Materials
N. Sundaram,
N. Sundaram
School of Aeronautics and Astronautics,
e-mail: nsundara@purdue.edu
Purdue University
, 315 North Grant Street, West Lafayette, IN 47907-2023
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T. N. Farris
T. N. Farris
Fellow ASME
School of Aeronautics and Astronautics,
e-mail: farrist@purdue.edu
Purdue University
, 315 North Grant Street, West Lafayette, IN 47907-2023
Search for other works by this author on:
N. Sundaram
School of Aeronautics and Astronautics,
Purdue University
, 315 North Grant Street, West Lafayette, IN 47907-2023e-mail: nsundara@purdue.edu
T. N. Farris
Fellow ASME
School of Aeronautics and Astronautics,
Purdue University
, 315 North Grant Street, West Lafayette, IN 47907-2023e-mail: farrist@purdue.edu
J. Appl. Mech. Nov 2008, 75(6): 061017 (9 pages)
Published Online: August 21, 2008
Article history
Received:
August 8, 2007
Revised:
July 9, 2008
Published:
August 21, 2008
Citation
Sundaram, N., and Farris, T. N. (August 21, 2008). "Numerical Analysis of Double Contacts of Similar Elastic Materials." ASME. J. Appl. Mech. November 2008; 75(6): 061017. https://doi.org/10.1115/1.2967897
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