Some advances and applications in quadratic programming method for numerical modeling of elastoplastic contact problems

This paper reviews briefly some advances and applications in parametric quadratic programming (PQP) method for numerical modeling of elastoplastic contact problems. The parametric variational principle (PVP) and the corresponding finite element model for numerical simulation of 3D elastoplastic frictional contact problems with isotropic/anisotropic (orthotropic) friction law are presented. The finite element software JIFEX is then developed with the application-oriented concept for nonlinear analysis of complex structures in general purposed engineering. Some typical engineering applications such as compressor impeller and the railway wheel/rail contact analysis are shown to illustrate the potential of the software developed.

[1]  P. Wriggers.  Finite element algorithms for contact problems , 1995 .

[2]  Ugo Galvanetto,et al.  Local analysis and global nonlinear behaviour of periodic assemblies of bodies in elastic contact , 1999 .

[3]  Francis Tin-Loi,et al.  Nonholonomic elastoplastic analysis involving unilateral frictionless contact as a mixed complementarity problem , 2001 .

[4]  Peter W. Christensen,et al.  A semi-smooth newton method for elasto-plastic contact problems , 2002 .

[5]  Zhang Hong-wu,et al.  Non-interior smoothing algorithm for frictional contact problems , 2004 .

[6]  Chen Jintao,et al.  A finite element model for numerical simulation of thermo-mechanical frictional contact problems , 2003 .

[7]  Gu Yuanxian,et al.  A combined programming and iteration algorithm for finite element analysis of three-dimensional contact problems , 1995 .

[8]  Jiun-Shyan Chen,et al.  A new algorithm for numerical solution of dynamic elastic–plastic hardening and softening problems , 2003 .

[9]  Zhang Hong-wu.  Parametric variational principle for elastic-plastic consolidation analysis of saturated porous media , 1995 .

[10]  Peter Wriggers,et al.  Computational Contact Mechanics , 2002 .

[11]  Zhang Hong-wu,et al.  A combined parametric quadratic programming and iteration method for 3-D elastic-plastic frictional contact problem analysis , 1998 .

[12]  J. Arora,et al.  Review of formulations for elastostatic frictional contact problems , 2000 .

[13]  P. W. Christensen,et al.  Formulation and comparison of algorithms for frictional contact problems , 1998 .

[14]  Peter Wriggers,et al.  A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law , 2004 .

[15]  Zhong Wan-xie,et al.  A finite element method for elasto-plastic structures and contact problems by parametric quadratic programming , 1988 .

[16]  Bernhard A. Schrefler,et al.  Global Constitutive Behavior of Periodic Assemblies of Inelastic Bodies in Contact , 2000 .

[17]  W. Zhong,et al.  MIXED ENERGY METHOD FOR SOLUTION OF QUADRATIC PROGRAMMING PROBLEMS , 2002 .

[18]  Bernard Schrefler,et al.  Gradient-dependent plasticity model and dynamic strain localisation analysis of saturated and partially saturated porous media: one dimensional model , 2000 .