Three dimensional curved shell finite elements for heat conduction

Surana, Karan S.; Phillips, Robert K.

doi:10.1016/0045-7949(87)90169-6

Cited by 40 publications

(2 citation statements)

References 9 publications

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“…With this decomposition, the fine through thickness description depends on the type of shape functions chosen. Within this framework, some authors suggested to construct new 3D shell finite elements that integrate this through thickness heat transfer effects [6], [8], [9], [10]. Nonetheless, using one single shell element in the thickness highly restricts the possible through-thickness temperature profile description.…”

Section: Methods: Thermal Shell Reduced Additive Modelmentioning

confidence: 99%

Integration of heat transfer effects in simulation of composite stamping

Hoang¹,

Lévy²,

Core³

2016

AIP Conference Proceedings

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A numerical method for the simulation of heat transfer occurring in thermoplastic composites thermostamping process is proposed. A reduced thermal model, named additive decomposition, is developed. It is based on the operator splitting method under thin shell assumption. A resolution algorithm using this decomposition is proposed, and developed in MATLAB. The approach is validated by comparing solutions obtained with a full 3D resolution and the presented method. Using this method, the computational time is proved to be about over 30 times faster. Eventually, prediction of temperature field is a prerequisite for the prediction of other phenomena, such as crystallization kinetics. Finally, the proposed method is implemented in the simulation software for thermostamping process Plasfib.

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Section: Methods: Thermal Shell Reduced Additive Modelmentioning

confidence: 99%

Integration of heat transfer effects in simulation of composite stamping

Hoang¹,

Lévy²,

Core³

2016

AIP Conference Proceedings

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“…Shell elements for heat conduction are normally derived from three-dimensional isoparametric solid elements where two faces of arbitrary order are connected by linear edges [13], resulting in a linear temperature approximation in the thickness direction. In applications where the shell surfaces are subjected to one-sided or double-sided thermal contact, the linear temperature approximation in the thickness direction is not adequate.…”

Section: Thermal Shell Elementmentioning

confidence: 99%

A finite element model for thermomechanical analysis of sheet metal forming

Bergman¹,

Oldenburg

2004

Numerical Meth Engineering

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SUMMARYA thermal model based on explicit time integration is developed and implemented into the explicit finite element code DYNA3D to model simultaneous forming and quenching of thin-walled structures. A staggered approach is used for coupling the thermal and mechanical analysis, wherein each analysis is performed with different time step sizes. The implementation includes a thermal shell element with linear temperature approximation in the plane and quadratic in the thickness direction, and contact heat transfer. The material behaviour is described by a temperature-dependent elastic-plastic model with a non-linear isotropic hardening law. Transformation plasticity is included in the model. Examples are presented to validate and evaluate the proposed model. The model is evaluated by comparison with a one-sided forming and quenching experiment.

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Modeling of Thin and Line Regions

Guérin¹

2008

The Finite Element Method for Electromagnetic Modeling

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Three dimensional curved shell finite elements for heat conduction

Cited by 40 publications

References 9 publications

Integration of heat transfer effects in simulation of composite stamping

Integration of heat transfer effects in simulation of composite stamping

A finite element model for thermomechanical analysis of sheet metal forming

Modeling of Thin and Line Regions

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