ON THE APPLICATION OF MULTI-STEP INTEGRATION METHODS TO INFINITESIMAL ELASTO-PLASTICITY
P. PAPADOPOULOS and R. L. TAYLOR
Int. J. Num. Meth. Engr. 37, pp. 3169-3184, (1994)
This article proposes an implicit algorithm for time integration of
the differential/algebraic equations of small-deformation elasto-plasticity
in strain space. The algorithm employs a two-step backwards
differentiation formula and a standard operator-split procedure.
Second-order accuracy and non-linear stability are established under
appropriate constitutive restrictions. The algorithm is implemented for
the model of J2-plasticity and numerical simulations are conducted that
illustrate its applicability and accuracy.