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A new method for solution of 3D elastic-plastic frictional contact problems

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Abstract

The solution of 3 D elastic-plastic frictional contact problems belongs to the unspecified boundary problems where the interaction between two kinds of nonlinearities should occur. Considering the difficulties for the solution of 3D frictional contact problems, the key part is the determination of the tangential slip states at the contact points, and a great amount of computing work is needed for a high accuracy result. A new method based on a combination of programming and iteration methods, which are respectively known as two main kinds of methods for contact analysis, was put forward to deal with 3D elastic-plastic contact problems. Numerical results demonstrate the efficiency of the algorithm illustrated here.

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References

  1. ZHONG Wan-xie, ZHANG Hong-wu, WU Cheng-wei.Parametric variational Principle and Its Applications in Engineering [M]. Beijing: Science Press, 1997. (in Chinese)

    Google Scholar 

  2. ZHONG Wan-xie, SUN Shu-ming. A finite element method for elasto-plastic structure and contact parametric quadratic programming [J].Int J Numer Methods Engng, 1988,26(6): 2723–2738.

    Article  Google Scholar 

  3. Klarbring A. A mathematical programming approach to three dimensional contact problem with friction [J].Comput Meths Appl Mech Engng, 1986,58(2): 175–200.

    Article  MATH  MathSciNet  Google Scholar 

  4. Marek M, Wieslaw A. Theory of finite element method for elastic contact problems of solid bodies [J].Computers and Structures, 1983,17(1): 51–59.

    Article  Google Scholar 

  5. Meyer D W, Plesha M E, Cooper R F. A contact friction algorithm including nonlinear viscoelasticity and a singular yield surface provision [J].Computers and Structures, 1992,42(6): 913–925.

    Article  Google Scholar 

  6. ZHANG Hong-wu, ZHONG Wan-xie, GU Yuan-xian. A combined programming and iteration algorithm for finite element analysis of three-dimensional elastic contact problems [J].Acta Mechanica Sinica-English, 1995,11(4): 318–326.

    Google Scholar 

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Paper from ZHONG wan-xie, Member of Editorial Committee, AMM

Foundation item: the National Key Basic Research Special Foundation (G1999032805); the Foundation for University Key Teacher by the Ministry of Education of China

Biographies: ZHANG Hong-wu (1964-), Professor; ZHONG Wan-xie (1934-), Professor, Academician

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Hong-wu, Z., Wan-xie, Z. & Yuan-xian, G. A new method for solution of 3D elastic-plastic frictional contact problems. Appl Math Mech 22, 756–765 (2001). https://doi.org/10.1007/BF02438218

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  • DOI: https://doi.org/10.1007/BF02438218

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