Abstract

A Multi-scale Method to Predict Residual Stress Appearance in the Process of on-line Consolidation of Thermoplastic Composites

Highlights

  • Processing of thermoplastic composites involves residual stress development

  • We present a multi-scale modeling based on the constrained natural element method (C-NEM) and on the proper orthogonal decomposition method which allows to evaluate residual stress growth

  • The method allows to take into account the thermomechanical properties evolution of the material during the process, which is a dominating factor in residual stress development

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Summary

Introduction

We consider that the viscous relaxation times are greater than the characteristic process time. A microscopic modeling will be required to define the homogenized thermomechanical parameters (to be employed in the macroscopic analysis) as well as to computed the microscopic thermomechanical fields evolution allowing to check the criteria of default appearance. Both scale analysis must be performed simultaneously, the macroscopic one in the whole macroscopic domain, and the microscopic one in some representative domains, from which the solutions could be interpolated everywhere in the whole domain. It has been proved in some of our former works (Martinez et al, 2001) that the quality of the Delaunay triangulation (dual of the Voronoi diagram) does not affect the quality of the computed solution in the NEM framework, even when one proceeds in very distorted meshes

General algorithm
Macroscopic thermal calculation
Microscopic calculation
Homogenization
Energy balance
Crystallisation kinetics
Model reduction
The proper orthogonal decomposition
A posteriori reduced modelling
Enriching the approximation basis
The constrained natural element interpolation revisited
Transferring microscopic information towards the macroscopic scale
Homogenization strategy
Thermal conductivity homogenization
Thermal induced stress calculation
Crystallization induced stress calculation
Macroscopic stress calculation
Numerical examples
Conclusion
Full Text
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