Application of General Linear Modeling (GLM) to analysis of indentation in compact bone

Ger Reilly, David Taylor

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The indentation process is useful in determining the behavior of a material under the action of a point or line load. The main geometric features of a wedge shaped indenter are the wedge angle and the radius on the wedge apex. General Linear Modeling is a statistical linear regression model which may be stated as: Y= β01Xi12X i23Xi34X i1Xi25Xi1Xi3+ β6Xi2Xi37X i1Xi2Xi3+...+εi (1) The components of this linear relationship are 'Y', which is the response to a set of varying factors (x1 to xn) and 'β1 to βn' are the coefficients of regression for each factor analysed. During our research experiments we varied factors (x1 to xn) such as the indenter geometry, and the direction of indentation relative to three principal microstructural directions in compact bone. We measured a series of responses (Y) during the experiments and used two of these in this analysis; indentation force and bone damage. We used GLM to evaluate the significance of each factor, and the crossed effects of factors on the responses (Y). In this paper we describe our approach and the application of GLM to modeling of indentation in compact bone.

Original languageEnglish
Title of host publicationAdvances and Trends in Engineering Materials and Their Applications - Proceedings of Can 2012 11th AES-ATEMA International Conference
Pages153-160
Number of pages8
Publication statusPublished - 2012
EventCAN 2012 11th International Conference on Advances and Trends in Engineering Materials and Their Applications, AES-ATEMA 2012 - Toronto, ON, Canada
Duration: 6 Aug 201210 Aug 2012

Publication series

NameAES-ATEMA International Conference Series - Advances and Trends in Engineering Materials and their Applications
ISSN (Print)1924-3642

Conference

ConferenceCAN 2012 11th International Conference on Advances and Trends in Engineering Materials and Their Applications, AES-ATEMA 2012
Country/TerritoryCanada
CityToronto, ON
Period6/08/1210/08/12

Keywords

  • Compact bone
  • Damage
  • General linear modeling
  • Indentation
  • Indentation force
  • Sequential labelling

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