2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The following system is digitally integrated between \(t=0\) and \(t=1\).

(Ordinary nonlinear differential system of 6 equations with 6 unknowns solved using library NAG by a “Backward difference method”)

_images/Object_2.svg _images/Object_3.svg

with the initial conditions:

_images/Object_4.svg

2.2. Benchmark results#

Values of

_images/Object_5.svg

and

_images/Object_6.svg

at the knots at \(t=\mathrm{1 }s\).

2.3. Uncertainty about the solution#

Library uncertainty NAG.

2.4. Bibliographical references#

  1. Library user manual NAG out of CRAY.

    1. ANDRIEUX - P. SCHOENBERGER - S. TAHERI: A three dimensional cyclic constitutive law for metals with a semi-discrete memory variable - HI‑71/8147 (1992)

    1. GEYER - J.M. PROIX - P. SCHOENBERGER - S. TAHERI: Modeling progressive deformation phenomena - Collection of internal notes from the DER 93 NB00153