A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres. Radtke, F. K.<nbsp>F., Simone, A., & Sluys, L. J. *International Journal for Numerical Methods in Engineering*, 84(6):708--732, 2010. doi abstract bibtex 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.

@article{ Radtke:PoUFibre2010,
author = {F. K. F. Radtke and A. Simone and L. J. Sluys},
title = {A partition of unity finite element method for obtaining elastic properties of continua with embedded
thin fibres},
journal = {International Journal for Numerical Methods in Engineering},
year = {2010},
volume = {84},
number = {6},
pages = {708--732},
kind = {journal paper (ISI)},
doi = {http://dx.doi.org/10.1002/nme.2916},
pdf = {J12 - A partition of unity finite element method for obtaining elastic properties of continua with
embedded thin fibres -- Radtke, Simone, Sluys - ijnme - 2010.pdf},
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.}
}

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J.</span>\n\t<!-- <span class=\"bibbase_paper_year\">2010</span>. -->\n</span>\n\n\n\n<i>International Journal for Numerical Methods in Engineering</i>,\n\n84(6):708--732.\n\n 2010.\n\n\n\n\n<br class=\"bibbase_paper_content\"/>\n\n<span class=\"bibbase_paper_content\">\n \n \n \n <a href=\"javascript:showBib('Radtke:PoUFibre2010')\">\n <img src=\"http://www.bibbase.org/img/filetypes/bib.png\" \n\t alt=\"A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres [bib]\" \n\t class=\"bibbase_icon\"\n\t style=\"width: 24px; height: 24px; border: 0px; vertical-align: text-top\"><span class=\"bibbase_icon_text\">Bibtex</span></a>\n \n \n\n \n \n \n \n \n\n \n <a class=\"bibbase_abstract_link\" href=\"javascript:showAbstract('Radtke:PoUFibre2010')\">Abstract</a>\n \n \n</span>\n\n<!-- -->\n<!-- <div id=\"abstract_Radtke:PoUFibre2010\"> -->\n<!-- 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. -->\n<!-- </div> -->\n<!-- -->\n\n</div>\n","downloads":0,"bibbaseid":"radtke-simone-sluys-apartitionofunityfiniteelementmethodforobtainingelasticpropertiesofcontinuawithembeddedthinfibres-2010","role":"author","year":"2010","volume":"84","type":"article","title":"A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres","pdf":"J12 - A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres -- Radtke, Simone, Sluys - ijnme - 2010.pdf","pages":"708--732","number":"6","kind":"journal paper (ISI)","key":"Radtke:PoUFibre2010","journal":"International Journal for Numerical Methods in Engineering","id":"Radtke:PoUFibre2010","doi":"http://dx.doi.org/10.1002/nme.2916","bibtype":"article","bibtex":"@article{ Radtke:PoUFibre2010,\n author = {F. K. F. Radtke and A. Simone and L. J. Sluys},\n title = {A partition of unity finite element method for obtaining elastic properties of continua with embedded\n\t\t thin fibres},\n journal = {International Journal for Numerical Methods in Engineering},\n year = {2010},\n volume = {84},\n number = {6},\n pages = {708--732},\n kind = {journal paper (ISI)},\n doi = {http://dx.doi.org/10.1002/nme.2916},\n pdf = {J12 - A partition of unity finite element method for obtaining elastic properties of continua with\n\t\t embedded thin fibres -- Radtke, Simone, Sluys - ijnme - 2010.pdf},\n abstract = {The numerical analysis of large numbers of arbitrarily distributed discrete thin fibres embedded in a\n\t\t continuum is a computationally demanding process. In this contribution, we propose an approach based\n\t\t on the partition of unity property of finite element shape functions that can handle discrete thin\n\t\t fibres in a continuum matrix without meshing them. This is made possible by a special enrichment\n\t\t function that represents the action of each individual fibre on the matrix. Our approach allows to\n\t\t model fibre-reinforced materials considering matrix, fibres and interfaces between matrix and fibres\n\t\t individually, each with its own elastic constitutive law.}\n}","author_short":["Radtke, F.<nbsp>K.<nbsp>F.","Simone, A.","Sluys, L.<nbsp>J."],"author":["Radtke, F. K. F.","Simone, A.","Sluys, L. J."],"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."},"bibtype":"article","biburl":"http://cm.strumech.citg.tudelft.nl/simone/simone.bib","downloads":0,"title":"A partition of unity finite element method for obtaining elastic properties of continua with embedded thin fibres","year":2010,"dataSources":["h3mqA2vavTRFCueZc"]}