Document Type
Thesis
Date of Award
1-31-1986
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Sachio Nakamura
Second Advisor
Bernard Koplik
Third Advisor
Benedict C. Sun
Abstract
Bone differs from most engineering materials in the composition of its structure. The classical theory of elasticity fails to correctly predict the stress concentration effects in bones with precracked or notched surfaces, and can be applied only to those materials which exhibit more homogeneity and isotropicity than bone. Therefore, generalized continuum theories, which have addditional degrees of freedom, must be used to determine the stress concentration effects in human bone, especially in regions of high strain gradient, such as a hole or an interface.
In this thesis, efforts have been made to identify the material constants of human bone since there is no generally agreed value for the Young's modulus of bone. In order to simulate the experimental results of Lakes and Yang, a finite element model of a section of human bone is developed and analysed. The identified micropolar elastic constants are used in the preparation of the input data to run the computer program on micropolar elasticity. A curve of strain ratios v/s the distance/hole radius ratios is then drawn and compared with the experimental curve obtained by Lakes and Yang.
The comparison of the two graphs indicates that there is a lot of consistency between the two curves. Therefore, the micropolar elastic constants proposed in this thesis can be considered as fairly good approximations of the exact values which are presently unknown.
Recommended Citation
Sayed, Sajid Mannan, "Identification of material constants of human bone using finite element method for micropolar elasticity" (1986). Theses. 3375.
https://digitalcommons.njit.edu/theses/3375
