<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in the composite material are obtained following theories of Guz’s representation and of Riemann-Hilbert problem. Critical values of crack propagation angle are determined using Sih’s generalized criterion. </p></abstract>

We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in the composite material are obtained following theories of Guz’s representation and of Riemann-Hilbert problem. Critical values of crack propagation angle are determined using Sih’s generalized criterion.

Anti-plane crack in human bone. I. Mathematical modelling

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Anti-plane crack in human bone. I. Mathematical modelling"}

We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in...

Anti-plane crack in human bone. I. Mathematical modelling

Published Online: Mar 31, 2018

Page range: 81 - 90

Received: Mar 15, 2017

Accepted: Jun 25, 2017

DOI: https://doi.org/10.2478/auom-2018-0004

Keywords
Mode III of fracture, initial fields, Riemann-Hilbert problem, Femur and Tibia bone

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Anti-plane crack in human bone. I. Mathematical modelling

Published Online: Mar 31, 2018

Page range: 81 - 90

Received: Mar 15, 2017

Accepted: Jun 25, 2017

DOI: https://doi.org/10.2478/auom-2018-0004

KeywordsMode III of fracture, initial fields, Riemann-Hilbert problem, Femur and Tibia bone

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Mode III of fracture, initial fields, Riemann-Hilbert problem, Femur and Tibia bone