On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework

TL;DR

This paper proposes a new residual-based load increment control method for nonlinear time-dependent analysis, improving the accuracy of 3D delamination modeling within a multiscale domain decomposition framework.

Contribution

It introduces an alternative residual control technique for load increments, enhancing the description of multiple delamination in complex domain decomposition models.

Findings

Effective control of load increments improves convergence.

Enhanced accuracy in 3D delamination simulations.

Residual-based method simplifies parameter selection.

Abstract

In quasi-static nonlinear time-dependent analysis, the choice of the time discretization is a complex issue. The most basic strategy consists in determining a value of the load increment that ensures the convergence of the solution with respect to time on the base of preliminary simulations. In more advanced applications, the load increments can be controlled for instance by prescribing the number of iterations of the nonlinear resolution procedure, or by using an arc-length algorithm. These techniques usually introduce a parameter whose correct value is not easy to obtain. In this paper, an alternative procedure is proposed. It is based on the continuous control of the residual of the reference problem over time, whose measure is easy to interpret. This idea is applied in the framework of a multiscale domain decomposition strategy in order to perform 3D delamination analysis.