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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

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Figures

Grahic Jump Location
Schematic representation of wave propagation in a semi-infinite half-space
Grahic Jump Location
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
Grahic Jump Location
(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
Grahic Jump Location
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
Grahic Jump Location
(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)
Grahic Jump Location
Finite element mesh for dynamic contact analysis of an elastic-plastic multi-layered medium indented by a rigid cylinder
Grahic Jump Location
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)
Grahic Jump Location
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)
Grahic Jump Location
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
Grahic Jump Location
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)
Grahic Jump Location
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)
Grahic Jump Location
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)
Grahic Jump Location
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
Grahic Jump Location
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)
Grahic Jump Location
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
Grahic Jump Location
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
Grahic Jump Location
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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