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TECHNICAL PAPERS

Dynamic Indentation of an Elastic-Plastic Multi-Layered Medium by a Rigid Cylinder

[+] Author and Article Information
J. Yang, K. Komvopoulos

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Tribol 126(1), 18-27 (Jan 13, 2004) (10 pages) doi:10.1115/1.1609489 History: Received February 28, 2003; Revised June 17, 2003; Online January 13, 2004
Copyright © 2004 by ASME
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References

Figures

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Schematic representation of wave propagation in a semi-infinite half-space
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Finite element models used to study the effect of the mesh size on the dynamic response of an elastic homogeneous half-space indented by a rigid cylinder. The mesh dimensions normalized by the indenter radius are (a) 6.4×6.4, (b) 12.8×6.4, (c) 6.4×12.8, and (d) 12.8×12.8
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(a) Contact force and (b) maximum von Mises equivalent stress versus time from the initiation of normal contact for an elastic homogeneous half-space indented by a rigid cylinder moving at speed V=1×10−3cp
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Finite element models used to study the effect of the mesh size on the dynamic response of an elastic-plastic multi-layered medium indented by a rigid cylinder. The mesh dimensions normalized by the indenter radius are (a) 6.4×7.406, (b) 12.8×7.406, (c) 6.4×13.806, and (d) 12.8×13.806
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(a) Maximum von Mises equivalent stress in the surface (hard) layer and (b) maximum equivalent plastic strain in the second (soft) layer versus time from the initiation of contact for an elastic-plastic multi-layered medium indented by a rigid cylinder moving at speed V=1×10−3cp(4), where cp(4) is the propagation speed of the plane dilatational waves in the thick substrate (fourth layer)
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Finite element mesh for dynamic contact analysis of an elastic-plastic multi-layered medium indented by a rigid cylinder
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Contact force on elastic-plastic multi-layered medium indented by a rigid cylinder versus indentation depth for (a) varying indentation speed and constant indenter radius (R̃=1.0) and (b) varying indenter radius and constant indentation speed (Ṽ=4×10−3)
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Contact pressure distribution on elastic-plastic multi-layered medium indented by a rigid cylinder for (a) varying indentation depth and speed and constant indenter radius (R̃=1.0) and (b) varying indenter radius and constant indentation depth (δ̃=0.02) and speed (Ṽ=4×10−3)
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Contours of von Mises equivalent stress in elastic-plastic multi-layered medium indented by a rigid cylinder of intermediate radius (R̃=1.0) at constant indentation speed (Ṽ=4×10−3) for indentation depth (a) δ̃=0.0025, (b) δ̃=0.0075, (c) δ̃=0.015, and (d) δ̃=0.02
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Maximum von Mises equivalent stress in the surface (hard) layer of an elastic-plastic multi-layered medium indented by a rigid cylinder versus indentation depth for (a) varying indentation speed and constant indenter radius (R̃=1.0) and (b) varying indenter radius and constant indentation speed (Ṽ=4×10−3)
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Contours of first principal stress in elastic-plastic multi-layered medium indented by a rigid cylinder of intermediate radius (R̃=1.0) at constant indentation speed (Ṽ=4×10−3) for indentation depth (a) δ̃=0.01 (loading), (b) δ̃=0.02 (loading), (c) δ̃=0.01 (partial unloading), and (d) δ̃=0 (full unloading)
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Maximum tensile (first principal) stress in the surface (hard) layer of an elastic-plastic multi-layered medium indented by a rigid cylinder versus indentation depth for (a) varying indentation speed and constant indenter radius (R̃=1.0) and (b) varying indenter radius and constant indentation speed (Ṽ=4×10−3)
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Contours of equivalent plastic strain in elastic-plastic multi-layered medium indented by a rigid cylinder of intermediate radius (R̃=1.0) at constant indentation speed (Ṽ=4×10−3) for indentation depth (a) δ̃=0.0075, (b) δ̃=0.0125, (c) δ̃=0.0175, and (d) δ̃=0.02
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Maximum equivalent plastic strain in the second (soft) layer of an elastic-plastic multi-layered medium indented by a rigid cylinder versus indentation depth for (a) varying indentation speed and constant indenter radius (R̃=1.0) and (b) varying indenter radius and constant indentation speed (Ṽ=4×10−3)
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Maximum equivalent plastic strain in the second (soft) layer of an elastic-plastic multi-layered medium indented by a rigid cylinder during unloading versus indentation depth for varying indentation speed and indenter radius
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Contours of residual von Mises equivalent stress in elastic-plastic multi-layered medium indented by a rigid cylinder after full unloading for different values of indentation speed and indenter radius: (a) Ṽ=1×10−3,R̃=1.0, (b) Ṽ=2×10−3,R̃=1.0, (c) Ṽ=4×10−3,R̃=1.0, and (d) Ṽ=4×10−3,R̃=0.2
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Contours of residual equivalent plastic strain in elastic-plastic multi-layered medium indented by a rigid cylinder after full unloading for different values of indentation speed and indenter radius: (a) Ṽ=1×10−3,R̃=1.0, (b) Ṽ=2×10−3,R̃=1.0, (c) Ṽ=4×10−3,R̃=1.0, and (d) Ṽ=4×10−3,R̃=0.2

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