The effect of algorithm form on deformation and instability in tension

Equilibrium and flow equations have been developed for limited boundary conditions to describe deformation and localisation in tension. These equations have been used to study the influence of algorithmic form on deformation response for four simple algorithms. It is shown that the structure of the algorithm can have a profound effect on the extent and rate of localisation. These results from analytical solutions are compared to those from computer modelling of similar problems and the agreement is shown to be extremely good over the whole range.