Calculation of elasticity modulus of particulate composite biomaterials using finite element method
Numeričko određivanje modula elastičnosti čestično kompozitnih biomaterijala primenom metode konačnih elemenata
Abstract
The influence of particle geometry, volume fraction and particle distribution on the modulus of elasticity of a hydroxyapatite (HAp) particulate reinforced polymer (poly -L-lactide) matrix composite biomaterial was investigated through finite element (FE) analysis. Three various shapes and two types of particle distribution were considered. Calculated stiffness values from FE analysis were compared to the experimental results available in the literature and with predictions from the semi-empirical Halpin-Tsai method. The compressive Young's modulus was found to be slightly dependent on particle shape, but very sensitive to volume fraction and particle distribution. Comparisons of available experimental data of the HAp/PLLA composites with the FE model results of spherical particles with face centered cubic (FCC) array, give very good agreement.
Na osnovu usvojenog numeričkog modela, primenom metode konačnih elemenata (MKE), analiziran je uticaj oblika, zapreminskog udela i rasporeda keramičkih čestica (HAp) u polimernoj matrici (PLLA) na modul elastičnosti kompozita. Razmatrana su tri oblika i dva rasporeda čestica u matrici. Izvršeno je poređenje tako dobijenih rezultata sa poluempirijskom metodom Halpin-Tsai i eksperimentalnim podacima. Rezultati istraživanja pokazuju da Jangov modul elastičnosti ne zavisi mnogo od oblika čestice. Sa druge strane, raspored čestica značajno utiče na modul elastičnosti (krutost) kompozita. Primećuje se da površinsko centrirani kubni (FCC) raspored čestica oblika sfere daje rezultate koji su najpribližniji eksperimentalnim podacima.
Keywords:
biocomposites / hydroxyapatite / poly-L-lactide / composite / finite element analysis / biokompoziti / HAp / PLLA / elastične karakteristike / MKESource:
Bilten Instituta za nuklearne nauke Vinča, 2003, 8, 1-4, 49-55Publisher:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
Institution/Community
Tehnološko-metalurški fakultetTY - JOUR AU - Balać, Igor AU - Milovančević, Milorad AU - Uskoković, Petar AU - Tang, C. Y. AU - Uskoković, Dragan PY - 2003 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/588 AB - The influence of particle geometry, volume fraction and particle distribution on the modulus of elasticity of a hydroxyapatite (HAp) particulate reinforced polymer (poly -L-lactide) matrix composite biomaterial was investigated through finite element (FE) analysis. Three various shapes and two types of particle distribution were considered. Calculated stiffness values from FE analysis were compared to the experimental results available in the literature and with predictions from the semi-empirical Halpin-Tsai method. The compressive Young's modulus was found to be slightly dependent on particle shape, but very sensitive to volume fraction and particle distribution. Comparisons of available experimental data of the HAp/PLLA composites with the FE model results of spherical particles with face centered cubic (FCC) array, give very good agreement. AB - Na osnovu usvojenog numeričkog modela, primenom metode konačnih elemenata (MKE), analiziran je uticaj oblika, zapreminskog udela i rasporeda keramičkih čestica (HAp) u polimernoj matrici (PLLA) na modul elastičnosti kompozita. Razmatrana su tri oblika i dva rasporeda čestica u matrici. Izvršeno je poređenje tako dobijenih rezultata sa poluempirijskom metodom Halpin-Tsai i eksperimentalnim podacima. Rezultati istraživanja pokazuju da Jangov modul elastičnosti ne zavisi mnogo od oblika čestice. Sa druge strane, raspored čestica značajno utiče na modul elastičnosti (krutost) kompozita. Primećuje se da površinsko centrirani kubni (FCC) raspored čestica oblika sfere daje rezultate koji su najpribližniji eksperimentalnim podacima. PB - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd T2 - Bilten Instituta za nuklearne nauke Vinča T1 - Calculation of elasticity modulus of particulate composite biomaterials using finite element method T1 - Numeričko određivanje modula elastičnosti čestično kompozitnih biomaterijala primenom metode konačnih elemenata EP - 55 IS - 1-4 SP - 49 VL - 8 UR - https://hdl.handle.net/21.15107/rcub_technorep_588 ER -
@article{ author = "Balać, Igor and Milovančević, Milorad and Uskoković, Petar and Tang, C. Y. and Uskoković, Dragan", year = "2003", abstract = "The influence of particle geometry, volume fraction and particle distribution on the modulus of elasticity of a hydroxyapatite (HAp) particulate reinforced polymer (poly -L-lactide) matrix composite biomaterial was investigated through finite element (FE) analysis. Three various shapes and two types of particle distribution were considered. Calculated stiffness values from FE analysis were compared to the experimental results available in the literature and with predictions from the semi-empirical Halpin-Tsai method. The compressive Young's modulus was found to be slightly dependent on particle shape, but very sensitive to volume fraction and particle distribution. Comparisons of available experimental data of the HAp/PLLA composites with the FE model results of spherical particles with face centered cubic (FCC) array, give very good agreement., Na osnovu usvojenog numeričkog modela, primenom metode konačnih elemenata (MKE), analiziran je uticaj oblika, zapreminskog udela i rasporeda keramičkih čestica (HAp) u polimernoj matrici (PLLA) na modul elastičnosti kompozita. Razmatrana su tri oblika i dva rasporeda čestica u matrici. Izvršeno je poređenje tako dobijenih rezultata sa poluempirijskom metodom Halpin-Tsai i eksperimentalnim podacima. Rezultati istraživanja pokazuju da Jangov modul elastičnosti ne zavisi mnogo od oblika čestice. Sa druge strane, raspored čestica značajno utiče na modul elastičnosti (krutost) kompozita. Primećuje se da površinsko centrirani kubni (FCC) raspored čestica oblika sfere daje rezultate koji su najpribližniji eksperimentalnim podacima.", publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd", journal = "Bilten Instituta za nuklearne nauke Vinča", title = "Calculation of elasticity modulus of particulate composite biomaterials using finite element method, Numeričko određivanje modula elastičnosti čestično kompozitnih biomaterijala primenom metode konačnih elemenata", pages = "55-49", number = "1-4", volume = "8", url = "https://hdl.handle.net/21.15107/rcub_technorep_588" }
Balać, I., Milovančević, M., Uskoković, P., Tang, C. Y.,& Uskoković, D.. (2003). Calculation of elasticity modulus of particulate composite biomaterials using finite element method. in Bilten Instituta za nuklearne nauke Vinča Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 8(1-4), 49-55. https://hdl.handle.net/21.15107/rcub_technorep_588
Balać I, Milovančević M, Uskoković P, Tang CY, Uskoković D. Calculation of elasticity modulus of particulate composite biomaterials using finite element method. in Bilten Instituta za nuklearne nauke Vinča. 2003;8(1-4):49-55. https://hdl.handle.net/21.15107/rcub_technorep_588 .
Balać, Igor, Milovančević, Milorad, Uskoković, Petar, Tang, C. Y., Uskoković, Dragan, "Calculation of elasticity modulus of particulate composite biomaterials using finite element method" in Bilten Instituta za nuklearne nauke Vinča, 8, no. 1-4 (2003):49-55, https://hdl.handle.net/21.15107/rcub_technorep_588 .