Finite element composites modeling

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Table of contents

Introduction
Motivation and goal
Outline of the manuscript
1 Initial state of the manufactured structure: sources of residual stresses and strains
1.1 Laser Assisted Tape Placement manufacturing process
1.2 Geometrical distortions and residual stresses induced by the manufacturing process
1.3 Sources of incompatibility
1.3.1 Micro-scale
1.3.2 Meso-scale
1.3.3 Macro-scale
1.4 LATP Residual stresses and strains
1.5 Modeling approach
2 Structural modelling: the effect of geometry and anisotropy
2.1 Introduction
2.2 Curved geometry and anisotropy
2.3 Geometry and anisotropy: analytical structural model
2.3.1 Residual stresses in the tubes: three dimensional model
2.3.2 Opening and closing of tubes: curved beam model
2.3.3 Residual stresses and geometrical distortion in a unconstrained unidirectional composite tube
2.4 Evaluation of residual stresses in tubes with different stacking sequences
2.4.1 Experimental results
2.4.2 Analytical results
2.4.3 Comparison between experimental and analytical results
2.5 Finite element composites modeling
2.5.1 Abaqus composite modelling strategies
2.6 Conclusions
3 A new mechanism-based temperature dependent viscoelastic model for unidirectional polymer matrix composites based on Cartan decomposition
3.1 Introduction
3.2 Transversely isotropic elastic behavior based on Cartan decomposition
3.2.1 Remarks
3.3 Analytical homogenisation
3.4 Linear viscoelasticity
3.4.1 Remarks
3.5 Effects of temperature: thermal strains and time-temperature superposition .
3.6 Numerical simulations
3.6.1 Loading histories on a single material point
3.6.2 Structural simulations
3.7 Conclusions and perspectives
4 Thermal model of Laser Assisted Tape Placement
4.1 Introduction
4.2 Thermal Model
4.2.1 Heat transfer equation
4.2.2 Boundary conditions
4.2.3 Initial condition
4.3 Analytical solution of the 1D heat transfer equation
4.3.1 Steady-state problem solution
4.3.2 Transient problem solution
4.4 Partial results: temperature evolution during ply deposition
4.4.1 Initial temperature distribution induced by different heating phase models
4.4.2 Time temperature evolution in the composite material laminate: a comparison
4.4.3 Thermal history induced by the Laser Assisted Tape Placement
4.5 Conclusions
5 Residual stresses and strains induced in tubes manufactured by LATP
5.1 Introduction
5.2 Tubes simulations: residual stresses results
5.2.1 LATP manufacturing process modeling
5.2.2 Thermal histories induced by the LATP manufacturing processes with hot and cold mandrel
5.2.3 Numerical simulations on a [90◦]6 cylindrical tube
5.2.4 Numerical simulations on a [±85◦]3 tube
5.2.5 Numerical simulations on a [0◦]6 tube
5.2.6 Numerical simulations on a [±55◦]3 cylindrical tube
5.3 Geometrical distortions of the cylindrical tubes after the axial cut
5.3.1 Comparison of numerical and experimental results
5.4 Conclusions and perspectives
Conclusions and perspectives
A Proof of modes orthogonality for the one-dimensional thermal model

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