Parametric variational principle for elastic–plastic consolidation analysis of saturated porous media

A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCPfunction. The parametric variational principle and parametric quadratic programming method were applied to the analysis of three-dimensional frictional contact problem. The solution of the contact problem was finally reduced to a linear complementarity problem, which was reformulated as a system of nonsmooth equations via an NCP-function. A smoothing approximation to the nonsmooth equations was given by the aggregate function. A Newton method was used to solve the resulting smoothing nonlinear equations. The algorithm presented is easy to understand and implement. The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics.

show abstract

A finite element model for contact analysis of multiple Cosserat bodies

Zhang

Wang

Wriggers

et al. 2005

Comput Mech

View full text Add to dashboard Cite

The objective of this paper is to develop a finite element model for multi-body contact analysis of Cosserat materials. Based on the parametric virtual work principle, a quadratic programming method is developed for finite element analysis of contact problems. The contact problem with friction between two Cosserat bodies is treated in the same way as in plastic analysis. The penalty factors, that are normally introduced into the algorithm for contact analysis, have a direct influence on accuracy of solution. There is no available rule for choosing a reasonable value of these factors for simulation of contact problems of Cosserat materials, and they are therefore cancelled through a special technique so that the numerical results can be of high accuracy. Compared with the conventional work on Cosserat elasticity, the newly developed model is on the contact analysis of the Cosserat materials and is seldom found in the existing literatures. Four examples are computed to illustrate the validity and importance of the model develope

show abstract

Parametric variational principle for elastic–plastic consolidation analysis of saturated porous media

Cited by 8 publications

References 30 publications

Some Advances in Mathematical Programming Method for Numerical Simulation of Contact Problems

Some Advances in Mathematical Programming Method for Numerical Simulation of Contact Problems

Non-interior smoothing algorithm for frictional contact problems

A finite element model for contact analysis of multiple Cosserat bodies

Contact Info

Product

Resources

About