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runge-kutta

ABAQUS - Does Newton's method affect the convergence rate of higher order incremental scheme such as RK4 implemented via UMAT?

Submitted by jack_luk on
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Hello everyone,

I'm currently doing an analysis on the convergence rate of an incremental model that I have implemented in ABAQUS using a UMAT. Here's the BIG lines of the problem:

1) In UMAT : Solution of a differential equation using explicit Runge-Kutta 4 (RK4), which has a 4th order convergence rate, yields the stress state "S". (In my problem, stresses are applied)

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