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TECHNICAL PAPERS

Constitutive Dynamic-Order Model for Nonlinear Contact Phenomena

[+] Author and Article Information
D. Ingman, J. Suzdalnitsky, M. Zeifman

QAR, Technion-Israel Institute of Technology, Haifa 32000, Israel

J. Appl. Mech 67(2), 383-390 (Apr 09, 1999) (8 pages) doi:10.1115/1.1304916 History: Received December 21, 1998; Revised April 09, 1999
Copyright © 2000 by ASME
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References

Billington, E. W., and Tate, A., 1981, The Physics of Deformation and Flow, McGraw-Hill, New York.
Krajcinovic, D., 1996, Damage Mechanics. Elsevier, Amsterdam.
Lee,  E. N., and Radok,  J. R. M., 1960, “The Contact Problem for Viscoelastic Bodies,” ASME J. Appl. Mech., 82, pp. 438–444.
Sneddon, J. N., 1979, The Use of Operators of Fractional Integration in Applied Mathematics, PWN, Warsaw.
Bagley,  R. L., and Calico,  R. A., 1991, “Fractional Order State Equations for the Control of Viscoelastically Damped Structures.” J. Guidance Control Dynam. , 14, No. 2, pp. 304–311.
Bagley,  R. L., Swinney,  D. V., and Griffin,  K. E., 1993, “Fractional Order Calculus Model of the Generalized Theodorsen Function,” J. Aircr., 30, No. 6, pp. 1003–1005.
Rossikhin,  Yu. A., and Shitikova,  M. V., 1997, “Application of Fractional Operators to the Analysis of Damped Vibrations of Viscoelastic Single-Mass Systems,” J. Sound Vib., 199, No. 4, pp. 567–586.
Lee,  E. N., and Rogers,  T. G., 1963, “Solution of Viscoelastic Stress Analysis Problems Using Measured Creep or Relaxation Functions,” ASME J. Appl. Mech., 30, pp. 127–133.
Rabotnov, Yu. N., 1977, Elements of Hereditary Mechanics of Solids, Nauka, Moscow.
Bardenhagen,  S. G., Stout,  M. G., and Gray,  G. T., 1997, “Three-Dimensional, Finite Deformation, Viscoplastic Constitutive Models for Polymeric Materials,” Mech. Mater., 25, No. 4, pp. 235–253.
Lubliner, J., 1990, Plasticity Theory, Macmillan, New York.
Skrzypek, J. J., and Hetnarski, R., 1993, Plasticity and Creep, CRC Press, Boca Raton, FL.
Valanis,  K. S., 1971, “A Theory of Viscoplasticity Without a Yield Surface I—II,” Archiwum Mechaniki Stosowanej, 23, No. 4, pp. 517–551.
Valanis,  K. C., and Read,  H. E., 1986, “An Endochronic Plasticity Theory for Concrete,” Mech. Mater., 5, No. 3, pp. 277–295.
Valanis,  K. C., and Yilmazer,  U., 1978, “An Intrinsic Time to Fracture Criterion for Amorphous Polymers,” Eng. Fract. Mech., 10, No. 3, pp. 659–676.
Rajic,  N., , 1997, “Plastic Zone Size Determination by Temperature Measurement,” ASME J. Eng. Mater. Technol., 119, pp. 32–39.
Oldham, K. B., and Spanier, J., 1974, The Fractional Calculus, Academic Press, New York.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Sheivekhman,  A., and Suzdalnitsky,  J., 1997, “Determination of the Elastoplastic Properties of Engineering Materials From Spherical Indentation,” J. Mech. Behav. Mater., 8, No. 4, pp. 283–294.
Francis,  H. A., 1976, “Phenomenological Analysis of Plastic Spherical Indentation,” ASME J. Eng. Mater. Technol., 98, pp. 272–281.
Field,  J. S., and Swain,  M. V., 1993, “A Simple Predictive Model for Spherical Indentation,” J. Mater. Res., 8, No. 2, pp. 297–305.
Field,  J. S., and Swain,  M. V., 1995, “Determining the Mechanical Properties of Small Volumes of Material From Submicrometer Spherical Indentations,” J. Mater. Res., 10, No. 1, pp. 101–112.
Barlow,  D. A., 1973, “The Indentation and Scratch Hardness of Plastics,” ASME J. Eng. Mater. Technol., 95, pp. 243–251.

Figures

Grahic Jump Location
Radius of contact circle versus time of load application
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Pressure versus time of load application
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Dependence of pressure on contact radius
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Experimental results of indentation
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Results of indentation for polymer
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Order function α(p) for polymer

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