Research Papers

Shear Effects on Energy Dissipation From an Elastic Beam on a Rigid Foundation

[+] Author and Article Information
Adam R. Brink

Sandia National Laboratories,
Albuquerque, NM 87185–0847
e-mail: arbrink@sandia.gov

D. Dane Quinn

Department of Mechanical Engineering,
University of Akron,
Akron, OH 44325–3903
e-mail: quinn@uakron.edu

1Corresponding author.

Manuscript received August 10, 2015; final manuscript received October 7, 2015; published online October 20, 2015. Assoc. Editor: Daining Fang.

J. Appl. Mech 83(1), 011004 (Oct 20, 2015) (7 pages) Paper No: JAM-15-1421; doi: 10.1115/1.4031764 History: Received August 10, 2015; Revised October 07, 2015

This work describes the energy dissipation arising from microslip for an elastic shell incorporating shear and longitudinal deformation resting on a rough-rigid foundation. This phenomenon is investigated using finite element (FE) analysis and nonlinear geometrically exact shell theory. Both approaches illustrate the effect of shear within the shell and observe a reduction in the energy dissipated from microslip as compared to a similar system neglecting shear deformation. In particular, it is found that the shear deformation allows for load to be transmitted beyond the region of slip so that the entire interface contributes to the load carrying capability of the shell. The energy dissipation resulting from the shell model is shown to agree well with that arising from the FE model, and this representation can be used as a basis for reduced order models that capture the microslip phenomenon.

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Fig. 1

Physical model under consideration

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Fig. 2

Energy dissipated per cycle

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Fig. 3

Deformation of beam cross sections; slipping—black and sticking—gray

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Fig. 4

Relative slip zone length a(t)/amax versus load F(t)/F0

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Fig. 5

External forces acting on the beamshell

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Fig. 6

Kinematic constraint on cross section motion

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Fig. 7

Shear traction at the contact interface

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Fig. 8

Energy dissipation showing intervals of zero energy dissipation at load reversals

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Fig. 9

Hysteresis curves for various forces with η = 0.030526

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Fig. 10

Energy dissipated over a cycle

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Fig. 11

Displacements of the beamshell and FE solution

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Fig. 12

Energy dissipated over a cycle for the beamshell and FE solution




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