ABSTRACT
The algorithm with damping factor is presented in this paper. The method can solve the displacement and plastic factor at the same time, it also can avoid the stress pullback calculation widely used in stress return algorithm. The damping factor is used to control the positive definiteness of the elliptic equation. The results of 2-D example show that the algorithm is feasible, the reasonable results can be obtained by using first-order finite element
2 ALGORITHM THEORY
2.1 Damped-Newton algorithm
To solve system of nonlinear equations
ψ ( ) P R =( )a 0 (1)
The most famous method is the NewtonRaphson method (Yin, 2007). The Newton method
1 INTRODUCTION
1.1 Progressive failure
Progressive development of shear band is a hot spot and a difficult point on geotechnical research. The study on the formation mechanism of shear band is based on both soil body stability and progressive failure. The remarkable understanding to process of shear band would have great helpful to the civil engineering design and construction.
