Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (12): 1107-1117.

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ON LARGE DEFORMATION UNILATERAL CONTACT PROBLEM WITH FRICTION (I)—INCREMENTAL VARIATIONAL EQUATIONS

Shang Yong, Chen Zhi-da   

  1. Beijing Graduate School, China University of Mining, Beijing
  • Received:1988-11-02 Online:1989-12-18 Published:1989-12-18

Abstract: Based on the theory and technique of nonlinear geometric field theory of continuum, a more general incremental variational equation for elastic and plastic large deformation in co-moving coordinate is established in this paper. An expression for two and three-ditnensicnal continua is derived, and the incremental variational equation for large deformation of changing boundary contact and the variational inequality in rate form tire obtained, which provides the theoretical basis for the computation of elastic-plastic large deformation contact problem with friction.

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