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Reliability analysis for cementless hip prosthesis using a new optimized formulation of yield stress against elasticity modulus relationship

Kharmanda, Mohamed Ghias LU (2015) In Materials & Design 65. p.496-504
Abstract
Using classical design optimization methods for implant-bone studies does not completely guarantee a safety and satisfactory performance, due in part to the randomness of bone properties and loading. Here, the material properties of the different bone layers are considered as uncertain parameters. So their corresponding yield stress values will not be deterministic, that leads to integrate variable limitations into the optimization process. Here there is a strong need to find a reliable mathematical relationship between yield stress and material properties of the different bone layers. In this work, a new optimized formulation for yield stress against elasticity modulus relationship is first developed. This model is based on some... (More)
Using classical design optimization methods for implant-bone studies does not completely guarantee a safety and satisfactory performance, due in part to the randomness of bone properties and loading. Here, the material properties of the different bone layers are considered as uncertain parameters. So their corresponding yield stress values will not be deterministic, that leads to integrate variable limitations into the optimization process. Here there is a strong need to find a reliable mathematical relationship between yield stress and material properties of the different bone layers. In this work, a new optimized formulation for yield stress against elasticity modulus relationship is first developed. This model is based on some experimental results. A validation of the proposed formulation is next carried out to show its accuracy for both bone layers (cortical and cancellous). A probabilistic sensitivity analysis is then carried out to show the role of each input parameter with respect to the limit state function. The new optimized formulation is next integrated into a reliability analysis problem in order to assess the reliability level of the stem–bone study where we deal with variable boundary limitations. An illustrative application is considered as a bi-dimensional example (contains only two variables) in order to present the results in an illustrative 2D space. Finally, a multi-variable problem considering several daily loading cases on a hip prosthesis shows the applicability of the proposed strategy. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hip prosthesis, Design optimization, Reliability analysis, Material properties.
in
Materials & Design
volume
65
pages
496 - 504
publisher
Elsevier
external identifiers
  • wos:000345520000062
  • scopus:84918550367
ISSN
0261-3069
DOI
10.1016/j.matdes.2014.09.040
language
English
LU publication?
yes
id
52119904-4832-4b9a-b18d-06b652f330de (old id 4697145)
alternative location
http://www.sciencedirect.com/science/article/pii/S0261306914007420
date added to LUP
2014-10-15 11:34:27
date last changed
2017-07-30 04:18:46
@article{52119904-4832-4b9a-b18d-06b652f330de,
  abstract     = {Using classical design optimization methods for implant-bone studies does not completely guarantee a safety and satisfactory performance, due in part to the randomness of bone properties and loading. Here, the material properties of the different bone layers are considered as uncertain parameters. So their corresponding yield stress values will not be deterministic, that leads to integrate variable limitations into the optimization process. Here there is a strong need to find a reliable mathematical relationship between yield stress and material properties of the different bone layers. In this work, a new optimized formulation for yield stress against elasticity modulus relationship is first developed. This model is based on some experimental results. A validation of the proposed formulation is next carried out to show its accuracy for both bone layers (cortical and cancellous). A probabilistic sensitivity analysis is then carried out to show the role of each input parameter with respect to the limit state function. The new optimized formulation is next integrated into a reliability analysis problem in order to assess the reliability level of the stem–bone study where we deal with variable boundary limitations. An illustrative application is considered as a bi-dimensional example (contains only two variables) in order to present the results in an illustrative 2D space. Finally, a multi-variable problem considering several daily loading cases on a hip prosthesis shows the applicability of the proposed strategy.},
  author       = {Kharmanda, Mohamed Ghias},
  issn         = {0261-3069},
  keyword      = {Hip prosthesis,Design optimization,Reliability analysis,Material properties.},
  language     = {eng},
  pages        = {496--504},
  publisher    = {Elsevier},
  series       = {Materials & Design},
  title        = {Reliability analysis for cementless hip prosthesis using a new optimized formulation of yield stress against elasticity modulus relationship},
  url          = {http://dx.doi.org/10.1016/j.matdes.2014.09.040},
  volume       = {65},
  year         = {2015},
}