Research Papers: Contact Mechanics

Physics-Based Modeling for Lap-Type Joints Based on the Iwan Model

[+] Author and Article Information
Wanglong Zhan

School of Mechanical and
Automotive Engineering,
South China University of Technology,
Guangzhou 510640, Guangdong, China
e-mail: zhanwl1992@foxmail.com

Ping Huang

School of Mechanical and
Automotive Engineering,
South China University of Technology,
Guangzhou 510640, Guangdong, China
e-mail: mephuang@scut.edu.cn

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received July 15, 2017; final manuscript received February 28, 2018; published online April 5, 2018. Assoc. Editor: James R. Barber.

J. Tribol 140(5), 051401 (Apr 05, 2018) (7 pages) Paper No: TRIB-17-1278; doi: 10.1115/1.4039530 History: Received July 15, 2017; Revised February 28, 2018

This study proposed a physics-based heuristic modeling for the nonlinear constitutive relation of bolted joints based on the Iwan model accompanying with the rough surface contact theory. The approach led to an Iwan distribution function which possesses the tribology-related features of the contact interface. In particular, the break-free force distribution function of the Jenkins elements could be expressed in terms of height distribution of surface asperities. The model considered the contribution of elastically, elasto-plastically as well as plastically deformed asperities to the total tangential loads. Following this, constitutive relations for lap-type bolted joints and the corresponding backbone curves, hysteresis loops, and energy dissipation per cycle were obtained. A model application was implemented and the results were compared with the published experimental results. The proposed model agrees very well with the experimental results when the contact parameters met the actual contact situation. The obtained results indicated that the model can be used to study the tangential behaviors of rough surfaces.

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Xiao, H. , Shao, Y. , and Xu, J. , 2014, “ Investigation Into the Energy Dissipation of a Lap Joint Using the One-Dimensional Microslip Friction Model,” Eur. J. Mech. A/Solids, 43, pp. 1–8. [CrossRef]
Ouyang, H. , Oldfield, M. J. , and Mottershead, J. E. , 2006, “ Experimental and Theoretical Studies of a Bolted Joint Excited by a Torsional Dynamic Load,” Int. J. Mech. Sci., 48(12), pp. 1447–1455. [CrossRef]
Padmanabhan, K. K. , and Murty, A. S. R. , 1991, “ Damping in Structural Joints Subjected to Tangential Loads,” Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci., 205(2), pp. 121–129. [CrossRef]
Etsion, I. , 2010, “ Revisiting the Cattaneo–Mindlin Concept of Interfacial Slip in Tangentially Loaded Compliant Bodies,” ASME J. Tribol., 132(2), p. 020801. [CrossRef]
Paggi, M. , Pohrt, R. , and Popov, V. L. , 2014, “ Partial-Slip Frictional Response of Rough Surfaces,” Sci. Rep., 4(1), p. 5178. [CrossRef] [PubMed]
Popov, V. L. , 2013, “ Method of Reduction of Dimensionality in Contact and Friction Mechanics: A Linkage Between Micro and Macro Scales,” Friction, 1(1), pp. 41–62. [CrossRef]
Popov, V. L. , and Heß, M. , 2015, Method of Dimensionality Reduction in Contact Mechanics and Friction, Springer, Berlin.
Argatov, I. I. , and Butcher, E. A. , 2011, “ On the Iwan Models for Lap-Type Bolted Joints,” Int. J. Non-Linear Mech., 46(2), pp. 347–356. [CrossRef]
Segalman, D. J. , 2005, “ A Four-Parameter Iwan Model for Lap-Type Joints,” ASME J. Appl. Mech., 72(5), pp. 752–760. [CrossRef]
Ahmadian, H. , and Rajaei, M. , 2014, “ Identification of Iwan Distribution Density Function in Frictional Contacts,” J. Sound Vib., 333(15), pp. 3382–3393. [CrossRef]
Li, Y. , and Hao, Z. , 2016, “ A Six-Parameter Iwan Model and Its Application,” Mech. Syst. Signal Process., 68–69, pp. 354–365. [CrossRef]
Segalman, D. J. , and Starr, M. J. , 2008, “ Inversion of Masing Models Via Continuous Iwan Systems,” Int. J. Non-Linear Mech., 43(1), pp. 74–80. [CrossRef]
Brake, M. R. W. , 2017, “ A Reduced Iwan Model That Includes Pinning for Bolted Joint Mechanics,” Nonlinear Dyn., 87(2), pp. 1335–1349. [CrossRef]
Zhang, X. M. , Wang, B. L. , and Wei, H. T. , 2012, “ Calculation of Nonlinear Restoring Forces and Energy Dissipation of Iwan Model,” Eng. Mech., 29(11), pp. 33–39 (in Chinese).
Iwan, W. D. , 1966, “ A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response,” ASME J. Appl. Mech., 33(4), pp. 893–900. [CrossRef]
Zhao, Y. , Maietta, D. M. , and Chang, L. , 2000, “ An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow,” ASME J. Tribol., 122(1), pp. 86–93. [CrossRef]
Segalman, D. J. , 2001, “ An Initial Overview of Iwan Modeling for Mechanical Joints,” Sandia National Laboratories, Albuquerque, NM, Report No. SAND2001-0811.
Shiryayev, O. V. , Page, S. M. , Pettit, C. L. , and Slater, J. C. , 2007, “ Parameter Estimation and Investigation of a Bolted Joint Model,” J. Sound Vib., 307(3–5), pp. 680–697. [CrossRef]
Bograd, S. , Reuss, P. , Schmidt, A. , Gaul, L. , and Mayer, M. , 2011, “ Modeling the Dynamics of Mechanical Joints,” Mech. Syst. Signal Process., 25(8), pp. 2801–2826. [CrossRef]
Eriten, M. , Polycarpou, A. A. , and Bergman, L. A. , 2010, “ Physics-Based Modeling for Partial Slip Behavior of Spherical Contacts,” Int. J. Solids Struct., 47(18–19), pp. 2554–2567. [CrossRef]
Eriten, M. , Polycarpou, A. A. , and Bergman, L. A. , 2010, “ Surface Roughness Effects on Energy Dissipation in Fretting Contact of Nominally Flat Surfaces,” ASME J. Appl. Mech., 78(2), p. 021011. [CrossRef]
Wang, D. , Xu, C. , and Wan, Q. , 2017, “ Modeling Tangential Contact of Rough Surfaces With Elastic and Plastic Deformed Asperities,” ASME J. Tribol., 139(5), p. 051401. [CrossRef]
Greenwood, J. A. , and Williamson, J. B. P. , 1966, “ Contact of Nominally Flat Surfaces,” Proc. R. Soc. London. Ser. A. Math. Phys. Sci., 295(1442), pp. 300–319. [CrossRef]
Masing, G. , 1926, “ Eigenspannungen Und Verfestigung Beim Messign (Self-Stretching and Hardening for Brass),” Second International Congress on Applied Mechanics, Zürich, Switzerland, Sept. 12–17, pp. 332–335.
Eriten, M. , Polycarpou, A. A. , and Bergman, L. A. , 2011, “ Physics-Based Modeling for Fretting Behavior of Nominally Flat Rough Surfaces,” Int. J. Solids Struct., 48(10), pp. 1436–1450. [CrossRef]
Rabinowicz, E. , 1995, Friction and Wear of Materials, 2nd ed., Wiley, New York. [PubMed] [PubMed]
Chang, W. , Etsion, I. , and Bogy, D. B. , 1987, “ An Elastic-Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109(2), pp. 257–263. [CrossRef]
Brizmer, V. , Zait, Y. , Kligerman, Y. , and Etsion, I. , 2006, “ The Effect of Contact Conditions and Material Properties on Elastic-Plastic Spherical Contact,” J. Mech. Mater. Struct., 1(5), pp. 865–879. [CrossRef]
Kogut, L. , and Etsion, I. , 2002, “ Elastic–Plastic Contact Analysis of a Sphere and a Rigid Flat,” ASME J. Appl. Mech., 69(5), pp. 657–662. [CrossRef]


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Fig. 1

Illustration of: (a) the uniform distribution of Ref. [15], (b) the distribution of Ref. [9], (c) Segalman's proposed distribution, and (d) the distribution of Ref. [11]

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Fig. 2

Schematic of the parallel-series Iwan model

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Fig. 3

Schematic diagram of contact between an equivalent rough surface and a rigid flat surface

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Fig. 4

Schematic diagram of a hysteresis loop

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Fig. 5

Iwan distribution functions for rough surfaces under different preloads: (a) N = 331 N and (b) N = 500 N

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Fig. 6

Backbone curves for initial loading under different preloads: (a) N = 331 N and (b) N = 500 N

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Fig. 7

Diagram of hysteresis loops for different displacement amplitudes. Other parameters: ψ = 4.25 and N = 331 N.

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Fig. 8

Comparison of present model and experimental fretting loops from bolted joint under different preloads

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Fig. 9

Comparison of energy dissipation obtained from experiments and present model simulations



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