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On the implementation in Abaqus of the global--local iterative coupling and acceleration techniques

Omar Bettinotti, Stéphane Guinard, Eric Véron, Pierre Gosselet

TL;DR

The paper tackles efficient, non-intrusive Global-Local Iterative Coupling (GLIC) implemented in Abaqus via co-simulation to bridge global coarse models with local refinements in complex aerospace structures. It formulates an iterative scheme exchanging interface data and guiding updates through an interface residual $r_\Gamma$, and enhances convergence with accelerators (Aitken, Anderson, Broyden) and an inexact solver strategy guided by relaxed convergence thresholds. Through two nonlinear static use cases—the holed plate with localized elasto-plasticity and a bolted joint—the study demonstrates comparable accuracy to monolithic models while achieving faster convergence, with Aitken relaxation often providing the best performance. The results advocate for non-intrusive multi-scale modeling in industry, showing that co-simulation-based GLIC with acceleration and inexact solves can deliver scalable, accurate simulations in complex assemblies.

Abstract

This paper presents results and convergence study of the Global--Local Iterative Coupling through the implementation in the commercial software Abaqus making use of the co-simulation engine. A hierarchical modeling and simulation approach is often required to alleviate modeling burdens. Particular focus has been devoted here on convergence acceleration and performance optimization. Two applications in statics with nonlinear material behavior and geometrically nonlinear formulation are considered here: first a holed curved plate under traction with elastic--plastic material, then a pre-stressed bolted joint connecting two plates between each other and subjected to traction load. Three different convergence acceleration techniques are compared in terms of convergence performance and accuracy. An inexact solver strategy is proposed to improve computing time performance. The results show promising results for the coupling technology and constitute a step forward in the availability of non-intrusive multi-scale modeling capabilities for complex structures and assemblies.

On the implementation in Abaqus of the global--local iterative coupling and acceleration techniques

TL;DR

The paper tackles efficient, non-intrusive Global-Local Iterative Coupling (GLIC) implemented in Abaqus via co-simulation to bridge global coarse models with local refinements in complex aerospace structures. It formulates an iterative scheme exchanging interface data and guiding updates through an interface residual , and enhances convergence with accelerators (Aitken, Anderson, Broyden) and an inexact solver strategy guided by relaxed convergence thresholds. Through two nonlinear static use cases—the holed plate with localized elasto-plasticity and a bolted joint—the study demonstrates comparable accuracy to monolithic models while achieving faster convergence, with Aitken relaxation often providing the best performance. The results advocate for non-intrusive multi-scale modeling in industry, showing that co-simulation-based GLIC with acceleration and inexact solves can deliver scalable, accurate simulations in complex assemblies.

Abstract

This paper presents results and convergence study of the Global--Local Iterative Coupling through the implementation in the commercial software Abaqus making use of the co-simulation engine. A hierarchical modeling and simulation approach is often required to alleviate modeling burdens. Particular focus has been devoted here on convergence acceleration and performance optimization. Two applications in statics with nonlinear material behavior and geometrically nonlinear formulation are considered here: first a holed curved plate under traction with elastic--plastic material, then a pre-stressed bolted joint connecting two plates between each other and subjected to traction load. Three different convergence acceleration techniques are compared in terms of convergence performance and accuracy. An inexact solver strategy is proposed to improve computing time performance. The results show promising results for the coupling technology and constitute a step forward in the availability of non-intrusive multi-scale modeling capabilities for complex structures and assemblies.
Paper Structure (12 sections, 31 equations, 17 figures, 6 tables)

This paper contains 12 sections, 31 equations, 17 figures, 6 tables.

Table of Contents

  1. Introduction
  2. Formulation and study of the Global-Local Iterative Coupling
  3. Use of inexact solvers
  4. Accelerators
  5. Aitken's relaxation
  6. Multi-secant methods
  7. Anderson acceleration anderson_1965
  8. Broyden's quasi-Newton method
  9. Use cases
  10. Holed plate with localized elasto-plasticity
  11. Structure with bolted joints
  12. Conclusions and future works

Figures (17)

  • Figure 1: Reference problem with two local patches and a non-empty complement zone.
  • Figure 2: Global problem and topological operators (traces and assembly -- Use the transpose to follow the opposite direction).
  • Figure 3: Holed plate finite element model of reference.
  • Figure 4: Results in terms of displacement magnitude (mm) for the holed plate finite element model of reference.
  • Figure 5: Results in terms of equivalent plastic strain for the holed plate finite element model taken as reference.
  • ...and 12 more figures

Theorems & Definitions (4)

  • Remark 1
  • Remark 2
  • Remark 3
  • Remark 4