About: A Logarithmic Strain Decomposition for Modeling of Trabecular Bone Subjected to Large Compressive Strains

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The geometrical nonlinearities may play an important role in the modeling of osteoporotic trabecular bone. The magnitude of geometrically nonlinear effects depends on the bone volume fraction and becomes more important for low-density bone. Development of a fully nonlinear model of trabecular bone (including material as well as geometrical nonlinearity) can be useful for description and exploration of the fracture properties of low-density trabecular bone. In this contribution we will explore an extension of the small-strain model for trabecular bone combining anisotropic elasticity and anisotropic plasticity with isotropic damage, to the large strain range. The extension to the large-strain range is based on the additive decomposition of the logarithmic strain into elastic and plastic parts. An efficient implementation into an object-oriented finite element platform will be presented, the algorithmic aspects will be discussed and application of the model will be illustrated by an example, in which the inelastic response of a vertebral body under uniaxial compression will be simulated and the results obtained from geometrically linear and nonlinear models will be compared. The geometrical nonlinearities may play an important role in the modeling of osteoporotic trabecular bone. The magnitude of geometrically nonlinear effects depends on the bone volume fraction and becomes more important for low-density bone. Development of a fully nonlinear model of trabecular bone (including material as well as geometrical nonlinearity) can be useful for description and exploration of the fracture properties of low-density trabecular bone. In this contribution we will explore an extension of the small-strain model for trabecular bone combining anisotropic elasticity and anisotropic plasticity with isotropic damage, to the large strain range. The extension to the large-strain range is based on the additive decomposition of the logarithmic strain into elastic and plastic parts. An efficient implementation into an object-oriented finite element platform will be presented, the algorithmic aspects will be discussed and application of the model will be illustrated by an example, in which the inelastic response of a vertebral body under uniaxial compression will be simulated and the results obtained from geometrically linear and nonlinear models will be compared. (en)
Title	A Logarithmic Strain Decomposition for Modeling of Trabecular Bone Subjected to Large Compressive Strains A Logarithmic Strain Decomposition for Modeling of Trabecular Bone Subjected to Large Compressive Strains (en)
skos:prefLabel	A Logarithmic Strain Decomposition for Modeling of Trabecular Bone Subjected to Large Compressive Strains A Logarithmic Strain Decomposition for Modeling of Trabecular Bone Subjected to Large Compressive Strains (en)
skos:notation	RIV/68407700:21110/12:00200406!RIV15-GA0-21110___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GAP108/11/1243)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Horák, Martin Jirásek, Milan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	120279
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/12:00200406
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	trabecular bone; large strains; anisotropic elasto-plasticity; isotropic damage (en)
http://linked.open.../riv/klicoveSlovo	trabecular bone anisotropic elasto-plasticity large strains isotropic damage
http://linked.open...ontrolniKodProRIV	[4B31EF5550B6]
http://linked.open...v/mistoKonaniAkce	Vienna
http://linked.open...i/riv/mistoVydani	Vienna
http://linked.open...i/riv/nazevZdroje	ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
http://linked.open...in/vavai/riv/obor	JJ
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Large-Strain Anisotropic Model for Failure of Trabecular Bone
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Horák, Martin Jirásek, Milan Zysset, P.
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-09-10 (xsd:date)
number of pages	13 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Vienna University of Technology
https://schema.org/isbn	978-3-9503537-0-9
http://localhost/t...ganizacniJednotka	21110

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