List of Journal Publications
2011
2.
Radtke, F. K. F., Simone, A., Sluys, L. J.
A partition of unity finite element method for simulating non-linear debonding and matrix failure in thin fibre composites Journal Article
In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 86, no. 4-5, pp. 453–476, 2011.
Abstract | BibTeX | Tags: Damage, Fibre-reinforced composite, Fibre-reinforced concrete, Finite element method, Partition of unity finite element method | Links:
@article{Radtke2011,
title = {A partition of unity finite element method for simulating non-linear debonding and matrix failure in thin fibre composites},
author = {F. K. F. Radtke and A. Simone and L. J. Sluys},
doi = {10.1002/nme.3056},
year = {2011},
date = {2011-01-01},
journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING},
volume = {86},
number = {4-5},
pages = {453–476},
abstract = {We present a partition of unity finite element method for simulating non-linear debonding and matrix failure in thin fibre composites. Fibres are superimposed on a background mesh without meshing them. The constitutive behaviour of the matrix material, the fibre material and the fibre-matrix bond can be independently defined. A concise derivation of the discrete governing equations is given for two classes of continuum damage models describing the matrix material. A non-linear bond-slip law including debonding and fibre pull-out behaviour is used. Several examples illustrate the potential of the proposed approach.},
keywords = {Damage, Fibre-reinforced composite, Fibre-reinforced concrete, Finite element method, Partition of unity finite element method},
pubstate = {published},
tppubtype = {article}
}
We present a partition of unity finite element method for simulating non-linear debonding and matrix failure in thin fibre composites. Fibres are superimposed on a background mesh without meshing them. The constitutive behaviour of the matrix material, the fibre material and the fibre-matrix bond can be independently defined. A concise derivation of the discrete governing equations is given for two classes of continuum damage models describing the matrix material. A non-linear bond-slip law including debonding and fibre pull-out behaviour is used. Several examples illustrate the potential of the proposed approach.
2010
1.
F., Radtke F. K., A., Simone, J., Sluys L.
A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres Journal Article
In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 84, no. 6, pp. 708–732, 2010.
Abstract | BibTeX | Tags: Fibre-reinforced composite, Finite element method, Partition of unity finite element method | Links:
@article{F.K.F.2010,
title = {A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres},
author = {Radtke F. K. F. and Simone A. and Sluys L. J.},
doi = {10.1002/nme.2916},
year = {2010},
date = {2010-01-01},
journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING},
volume = {84},
number = {6},
pages = {708–732},
abstract = {The numerical analysis of large numbers of arbitrarily distributed discrete thin fibres embedded in a continuum is a computationally demanding process. In this contribution, we propose an approach based on the partition of unity property of finite element shape functions that can handle discrete thin fibres in a continuum matrix without meshing them. This is made possible by a special enrichment function that represents the action of each individual fibre on the matrix. Our approach allows to model fibre‐reinforced materials considering matrix, fibres and interfaces between matrix and fibres individually, each with its own elastic constitutive law.},
keywords = {Fibre-reinforced composite, Finite element method, Partition of unity finite element method},
pubstate = {published},
tppubtype = {article}
}
The numerical analysis of large numbers of arbitrarily distributed discrete thin fibres embedded in a continuum is a computationally demanding process. In this contribution, we propose an approach based on the partition of unity property of finite element shape functions that can handle discrete thin fibres in a continuum matrix without meshing them. This is made possible by a special enrichment function that represents the action of each individual fibre on the matrix. Our approach allows to model fibre‐reinforced materials considering matrix, fibres and interfaces between matrix and fibres individually, each with its own elastic constitutive law.
