A momentum-consistent stabilization algorithm for Lagrangian particle methods in the thermo-mechanical friction drilling analysis

This paper introduces a new stabilization algorithm to Lagrangian particle methods for the coupled thermal mechanical analysis in the friction drilling simulation. Different from the conventional penalty method which utilizes a direct smoothing of velocity fields in the weak formulation, the propose...

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Bibliographic Details
Published in:Computational mechanics 2019-09, Vol.64 (3), p.625-644
Main Authors: Pan, Xiaofei, Wu, C. T., Hu, Wei, Wu, Youcai
Format: Article
Language:English
Subjects:
Algorithms
Angular momentum
Classical and Continuum Physics
Computational Science and Engineering
Computer simulation
Drilling
Drilling and boring
Engineering
Finite element method
Friction
Industrial applications
Mathematical analysis
Mechanical analysis
Original Paper
Particle methods (mathematics)
Stabilization
Theoretical and Applied Mechanics
Thermomechanical analysis
Time marching
Velocity distribution
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Summary:This paper introduces a new stabilization algorithm to Lagrangian particle methods for the coupled thermal mechanical analysis in the friction drilling simulation. Different from the conventional penalty method which utilizes a direct smoothing of velocity fields in the weak formulation, the proposed algorithm introduces the smoothed velocity fields through linear momentum equations for stabilization. Particle approximations are used for the discretization of coupled thermal mechanical discrete equations. The coupled system is solved by the explicit and staggered time marching scheme. In comparison to the conventional penalty method which requires at least one extra integration point for stabilization, the proposed algorithm needs only one integration point per particle in computation. The essential features of linear and angular momentum conservations are preserved in the explicit dynamic analysis. A bridging scheme is also developed to couple the particle formulation with finite element formulation for practical industrial applications. Several benchmark tests are performed to examine the effectiveness of this new method. Furthermore, a friction drilling application is studied, and the results are compared with the experimental data.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-019-01673-8