Finite Element Analysis of Elastoplastic Elements in the Iwan Model of Bolted Joints
2. The Iwan Model and the Microslip Friction Modeling Approach
2.1. The Iwan Model
2.2. The Microslip Friction Modeling Approach
3. Calculation and Analysis
3.1. Finite Element Modeling
3.2. Analysis of the Lagrange Multiplier and Penalty Method
3.3. Analysis of the Thread Model and the Simplified Model
3.4. Analysis of Elastoplastic Elements under Mixed-Mode Loading
- The penalty method sacrifices accuracy for convergence, but it is closer to the real situation than the Lagrange multiplier method. Through analysis, the calculation results of both methods are the same for lapped plates, and the penalty method is more suitable for the contact analysis of bolted plates.
- A threaded connection reduces the normal and tangential stiffness of the joints compared to bonding contact, but the reduction is negligible. Therefore, in finite element analysis, it is feasible to use bonding contact to replace the threaded connection.
- The contact area of the inter-plate surface changes with the tangential load under mixed-mode loading, and the contact boundary can be represented by an ellipse function. In microslip, the semi-major axis remains unchanged and the semi-minor axis is a function of the tangential force T.
- On the premise of the known dynamic pressure distribution, the contact area can be discretized by the different ellipticity. The discrete method can be applied to dynamic elliptical boundaries, and the DFs of friction shear stress and critical sliding force can be solved.
- The residual stiffness of the Iwan model is derivative of static friction to relative displacement, and the static friction force causes the bending of the screw.
- The pressure distribution law under mixed-mode loading needs to be studied, and a function needs to be constructed to characterize the pressure distribution in the non-circular area.
- Experiments are indispensable to verify the theory. Designing equivalent bolted plates to overcome the shortcomings of ultrasonic methods to measure pressure distribution across multiple interfaces may be a feasible technique.
- The mapping of the parameter in the constitutive model is still not clear, and the mapping parameter also needs to be studied.
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Conflicts of Interest
|tangential force||Relative displacement|
|normal load||friction coefficient|
|amplitude of excitation force||Residual stiffness|
|number of Jenkins elements||maximum radius of contact area|
|radius of the hole||friction shear stress on the bolthead-plate surface|
|Contact pressure||friction shear stress on the inter-plate surface|
|tangential contact stiffness||friction force on the bolthead-plate surface|
|corrected pressure||friction force on the inter-plate surface|
|sliding area||amplitude of the cyclic load|
|critical sliding force||semi-minor axis of the contact boundary|
|range of critical sliding force||semi-minor axis of the ith ellipse|
|semi-major axis of the contact boundary||semi-major of the ith ellipse|
|thread height||ellipticity of the ith ellipse|
|DF||density function||ratio of the sliding area to the contact area|
|contact pressure under mixed-mode loading||corrected contact pressure under mixed-mode loading|
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Wang, S.-A.; Zhu, M.; Xie, X.; Li, B.; Liang, T.-X.; Shao, Z.-Q.; Liu, Y.-L. Finite Element Analysis of Elastoplastic Elements in the Iwan Model of Bolted Joints. Materials 2022, 15, 5817. https://doi.org/10.3390/ma15175817
Wang S-A, Zhu M, Xie X, Li B, Liang T-X, Shao Z-Q, Liu Y-L. Finite Element Analysis of Elastoplastic Elements in the Iwan Model of Bolted Joints. Materials. 2022; 15(17):5817. https://doi.org/10.3390/ma15175817Chicago/Turabian Style
Wang, Sheng-Ao, Min Zhu, Xin Xie, Biao Li, Tian-Xi Liang, Zhao-Qun Shao, and Yi-Long Liu. 2022. "Finite Element Analysis of Elastoplastic Elements in the Iwan Model of Bolted Joints" Materials 15, no. 17: 5817. https://doi.org/10.3390/ma15175817