[petsc-users] SNES and TS for nonlinear quasi-static problems

TARDIEU Nicolas nicolas.tardieu at edf.fr
Mon Dec 19 05:11:43 CST 2022


Dear PETSc users,

I plan to solve nonlinear quasi-static problems with PETSc. More precisely, these are solid mechanics problems with elasto-plasticity.
So they do not involve  "physical time", rather  "pseudo time", which is mandatory to describe the stepping of the loading application.
In general, the loading vector F(x, t) is expressed as the following product  F(x, t)=F0(x)*g(t), where g is a scalar function of the pseudo-time.

I see how to use a SNES in order to solve a certain step of the loading history but I wonder if a TS can be used to deal with the loading history through the definition of this g(t) function ?

Furthermore, since too large load steps can lead to non-convergence, a stepping strategy is almost always required to restart a load step that failed. Does TS offer such a feature ?

Thank you for your answers.
Regards,
Nicolas
--
Nicolas Tardieu
Ing PhD Computational Mechanics
EDF - R&D Dpt ERMES
PARIS-SACLAY, FRANCE



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