Finite element analysis of cut-growth in sheets of highly elastic materials

1973 ◽  
Vol 9 (10) ◽  
pp. 1211-1223 ◽  
Author(s):  
Neng-Ming Wang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Elastic Materials ◽  
Element Analysis ◽  
Highly Elastic Materials

A New 3D Analytical Method for Calculating the Longitudinal Stress-Strain of Bones, as ‘N’ Different Asymmetrical Linear Elastic Materials, Loaded Together Eccentrically

2000 ◽  
Author(s):  
Nader Arafati
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Analytical Method ◽  
Hip Prosthesis ◽  
Three Dimensional ◽  
Elastic Materials ◽  
Stress Strain ◽  
Element Analysis ◽  
Linear Elastic ◽  
The Finite Element Analysis

Abstract We describe a three-dimensional analytical method to evaluate the stress-strain of « n » different asymmetrical linear elastic materials, loaded together by eccentric forces and moments. If one assumes that each bone is composed of a number of different linear elastic materials, this method could be used to determine the stress-strain values of any bone. Mesh generation is unnecessary with this method, the only requirement being to determine the contours of each material. We used this method to analyze the longitudinal stresses imposed on the femur, after implantation of cemented hip prosthesis. The results were compared with those of finite element analysis without any contact elements. Considerable differences were found, particularly for exterior prosthesis contours. When the same error was entered into a cylindrical analytical model, the similar errors were found, indicating that not using contact elements may result in unacceptable errors with the finite element analysis method.

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