A symmetric formulation in non‐associated viscoplasticity

Abstract

Implicit solutions in viscoplastic analysis of structures are very often avoided due to the fact that they lead to non‐symmetric systems of equations. On the other hand, structures such as soils have a marked non‐associate behaviour that has to be taken into consideration. Here the implicit solutions are formulated in a way that, even for non‐associate models, the system of equations is kept as symmetric. Apart from an ‘exact’ formulation of the algorithm other possibilities are considered and tested in the numerical examples given.

Citation

Melão Barros†, M.H.F., Martins, R.A.F. and Dinis, L.M.J.S. (1987), "A symmetric formulation in non‐associated viscoplasticity", Engineering Computations, Vol. 4 No. 1, pp. 35-40. https://doi.org/10.1108/eb023681