The Mixed Fast Multipole Boundary Element Method for Solving Strip Cold Rolling Process

Abstract:

Based on fast multipole boundary element method (FM-BEM) and mixed variational inequality, a new numerical method named mixed fast multipole boundary element method (MFM-BEM) was presented in this paper for solving three-dimensional elastic-plastic contact problems. Mixed boundary integral equation (MBIE) was the foundation of MFM-BEM and obtained by mixed variational inequality. In order to adapt the requirement of fast multipole method (FMM), Taylor series expansion was used in discrete MBIE. In MFM-BEM the calculation time was significant decreased, the calculation accuracy and continuity was also improved. These merits of MFM-BEM were demonstrated in numerical examples. MFM-BEM has broad application prospects and will take an important role in solving large-scale engineering problems.

• Periodical: Applied Mechanics and Materials (Volumes 20-23)
• Pages: 76-81
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.20-23.76
• Online since: January 2010
• Authors: Hai Lian Gui, Qing Xue Huang
• Keywords: Elastic-Plastic Contact Problem, Mixed Boundary Integral Equation (MBIE), Mixed Fast Multipole Boundary Element Method (MFM-BEM), Strip Cold Rolling Process, Taylor Series Expansion

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