To simulate the large-scale failure evolution with current computation
al facilities, a simple approach, that catches the essential feature o
f failure mechanisms, must be available so that the routine use of fai
lure analysis is feasible. Based on the previous research results, a s
imple analysis procedure is described in this paper for failure simula
tion. In this procedure, the evolution of localization is represented
by a moving surface of discontinuity, and the transition between conti
nuous and discontinuous failure modes are described via the moving jum
p forms of conservation laws. As a result, local plasticity and damage
models, that are formulated based on thermodynamic restrictions, are
still valid without invoking higher order terms, and simple integratio
n schemes can be designed for the rate forms of constitutive models. T
o resolve localized large deformations and subsequent cracking, an eff
icient structural solution scheme is given for Static and dynamic prob
lems.