<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical fracture. Using the boundary conditions on the crack faces in the bone, regarded as an elastic composite material, we solve our Riemann-Hilbert problem. Using generalized Sih's strain energy density generalized and maximum stress criteria we find the direction of the crack path in Iliac bone, regarded as a pre-stressed orthotropic composite.</p></abstract>

The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical fracture. Using the boundary conditions on the crack faces in the bone, regarded as an elastic composite material, we solve our Riemann-Hilbert problem. Using generalized Sih's strain energy density generalized and maximum stress criteria we find the direction of the crack path in Iliac bone, regarded as a pre-stressed orthotropic composite.

Crack Propagation in the Human Bone. Mode I of Fracture

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Crack Propagation in the Human Bone. Mode I of Fracture"}

The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical...

Crack Propagation in the Human Bone. Mode I of Fracture

Published Online: Nov 22, 2018

Page range: 59 - 70

Received: Mar 01, 2017

Accepted: Jun 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0018

Keywords
crack in mode I of Fracture, anisotropic materials, initial fields, propagation criteria, Iliac bone

© 2018 E. M. Craciun, et al., published by Sciendo

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

Crack Propagation in the Human Bone. Mode I of Fracture

Published Online: Nov 22, 2018

Page range: 59 - 70

Received: Mar 01, 2017

Accepted: Jun 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0018

Keywordscrack in mode I of Fracture, anisotropic materials, initial fields, propagation criteria, Iliac bone

© 2018 E. M. Craciun, et al., published by Sciendo

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

Keywords
crack in mode I of Fracture, anisotropic materials, initial fields, propagation criteria, Iliac bone