### Abstract

Theoretical predictions of internal bone remodeling around an elliptical hole are studied. The internal remodeling theory due to Cowin and Hegedus is employed. The bone is modeled as an initially homogeneous adaptive elastic plate with an elliptical hole under a superposed steady compressive load. It is shown that there will exist a final inhomogeneous remodeling distribution around the hole that will disappear away from the hole. The remodeling is such that the compressive stress concentration causes the bone structure to evolve to one of greater density and stiffer elastic coefficients. The speed of remodeling around the hole and its variation with respect to distance is investigated and discussed. It is shown that the rate of bone reinforcement in the area of compressive stress concentration is much higher than the rate of bone resorption in the area of existing tensile stress. Special cases of a circular hole and vertical and horizontal slots are studied and discussed.

Original language | English |
---|---|

Pages (from-to) | 355-360 |

Number of pages | 6 |

Journal | Journal of Biomechanical Engineering |

Volume | 111 |

Issue number | 4 |

Publication status | Published - Nov 1989 |

### Keywords

- ADAPTIVE ELASTICITY

### Cite this

*Journal of Biomechanical Engineering*,

*111*(4), 355-360.

**THE EFFECT OF STRESS-CONCENTRATION ON BONE REMODELING - THEORETICAL PREDICTIONS.** / FIROOZBAKHSH, K ; Aleyaasin, Majid.

Research output: Contribution to journal › Article

*Journal of Biomechanical Engineering*, vol. 111, no. 4, pp. 355-360.

}

TY - JOUR

T1 - THE EFFECT OF STRESS-CONCENTRATION ON BONE REMODELING - THEORETICAL PREDICTIONS

AU - FIROOZBAKHSH, K

AU - Aleyaasin, Majid

PY - 1989/11

Y1 - 1989/11

N2 - Theoretical predictions of internal bone remodeling around an elliptical hole are studied. The internal remodeling theory due to Cowin and Hegedus is employed. The bone is modeled as an initially homogeneous adaptive elastic plate with an elliptical hole under a superposed steady compressive load. It is shown that there will exist a final inhomogeneous remodeling distribution around the hole that will disappear away from the hole. The remodeling is such that the compressive stress concentration causes the bone structure to evolve to one of greater density and stiffer elastic coefficients. The speed of remodeling around the hole and its variation with respect to distance is investigated and discussed. It is shown that the rate of bone reinforcement in the area of compressive stress concentration is much higher than the rate of bone resorption in the area of existing tensile stress. Special cases of a circular hole and vertical and horizontal slots are studied and discussed.

AB - Theoretical predictions of internal bone remodeling around an elliptical hole are studied. The internal remodeling theory due to Cowin and Hegedus is employed. The bone is modeled as an initially homogeneous adaptive elastic plate with an elliptical hole under a superposed steady compressive load. It is shown that there will exist a final inhomogeneous remodeling distribution around the hole that will disappear away from the hole. The remodeling is such that the compressive stress concentration causes the bone structure to evolve to one of greater density and stiffer elastic coefficients. The speed of remodeling around the hole and its variation with respect to distance is investigated and discussed. It is shown that the rate of bone reinforcement in the area of compressive stress concentration is much higher than the rate of bone resorption in the area of existing tensile stress. Special cases of a circular hole and vertical and horizontal slots are studied and discussed.

KW - ADAPTIVE ELASTICITY

M3 - Article

VL - 111

SP - 355

EP - 360

JO - Journal of Biomechanical Engineering

JF - Journal of Biomechanical Engineering

SN - 0148-0731

IS - 4

ER -