A Review of Methods to Characterize Rubber Elastic Behavior for Use in Finite Element Analysis

1994 ◽  
Vol 67 (3) ◽  
pp. 481-503 ◽  
Author(s):  
D. J. Charlton ◽  
J. Yang ◽  
K. K. Teh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Strain Energy ◽  
Elastic Strain Energy ◽  
Elastic Behavior ◽  
Element Analysis ◽  
Physical Testing ◽  
Synthetic Test ◽  
Elastic Strain Energy Density

Abstract The purpose of this paper is to provide a review of methods used to characterize the elastic behavior of rubber for use in Finite Element Analysis (FEA). A sample of elastic strain energy density functions used to characterize rubber is given, along with the tests required to characterize rubber according to these functions. The use of synthetic test data as an alternative to full physical testing is discussed, and highlighted by a case study. The paper closes with a discussion on potential errors associated with FEA of rubber components.

Combined Lifting Analysis and Load Test of a Hook Foundation in a GRP Hull

2006 ◽  
Vol 5-6 ◽  
pp. 101-106
Author(s):  
S. Quinn ◽  
S.S.J. Moy ◽  
Keith Piggott
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Load Test ◽  
Element Analysis ◽  
Detailed Design ◽  
Reinforced Polymer ◽  
Design Changes ◽  
Physical Testing ◽  
Final Design

The combination of simulation and physical testing is powerful. In this case study Finite Element Analysis (FEA) and a 96 tonne load test were used to prove that the lifting points for a new semi-rigid inflatable rescue craft met their statutory requirements before full manufacture. The FEA was used to optimise the detailed design of the lifting points, without the need to test each different configuration, and the load test was used to prove the final design in practice, before full manufacture. The FEA showed that the bearing stresses in the Glass Reinforced Polymer (GRP) hull of the initial design were unacceptable and appropriate design changes were made from further analysis. However, to suitably risk manage the project a full load test was required to demonstrate that the revised lifting point details met their statutory requirements, before full manufacture of the new craft.

scholarly journals 3D Finite Element Analysis of Rotary Instruments in Root Canal Dentine with Different Elastic Moduli

2021 ◽  
Vol 11 (6) ◽  
pp. 2547 ◽  
Author(s):  
Carlo Prati ◽  
João Paulo Mendes Tribst ◽  
Amanda Maria de Oliveira Dal Piva ◽  
Alexandre Luiz Souto Borges ◽  
Maurizio Ventre ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Root Canal ◽  
Elastic Moduli ◽  
Reaction Force ◽  
Von Mises Stress ◽  
Elastic Behavior ◽  
Element Analysis ◽  
Heat Treated ◽  
Von Mises

The aim of the present investigation was to calculate the stress distribution generated in the root dentine canal during mechanical rotation of five different NiTi endodontic instruments by means of a finite element analysis (FEA). Two conventional alloy NiTi instruments F360 25/04 and F6 Skytaper 25/06, in comparison to three heat treated alloys NiTI Hyflex CM 25/04, Protaper Next 25/06 and One Curve 25/06 were considered and analyzed. The instruments’ flexibility (reaction force) and geometrical features (cross section, conicity) were previously investigated. For each instrument, dentine root canals with two different elastic moduli(18 and 42 GPa) were simulated with defined apical ratios. Ten different CAD instrument models were created and their mechanical behaviors were analyzed by a 3D-FEA. Static structural analyses were performed with a non-failure condition, since a linear elastic behavior was assumed for all components. All the instruments generated a stress area concentration in correspondence to the root canal curvature at approx. 7 mm from the apex. The maximum values were found when instruments were analyzed in the highest elastic modulus dentine canal. Strain and von Mises stress patterns showed a higher concentration in the first part of curved radius of all the instruments. Conventional Ni-Ti endodontic instruments demonstrated higher stress magnitudes, regardless of the conicity of 4% and 6%, and they showed the highest von Mises stress values in sound, as well as in mineralized dentine canals. Heat-treated endodontic instruments with higher flexibility values showed a reduced stress concentration map. Hyflex CM 25/04 displayed the lowest von Mises stress values of, respectively, 35.73 and 44.30 GPa for sound and mineralized dentine. The mechanical behavior of all rotary endodontic instruments was influenced by the different elastic moduli and by the dentine canal rigidity.

Predicting the Large Deflection Path of End-Loaded Tapered Cantilever Beams

2000 ◽  
Author(s):  
Matthew B. Parkinson ◽  
Gregory M. Roach ◽  
Larry L. Howell
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Euler Equation ◽  
Large Deflection ◽  
Nonlinear Finite Element ◽  
Cantilever Beams ◽  
Element Analysis ◽  
Moments Of Inertia ◽  
Physical Testing

Abstract A simple (quadratic) mathematical model for predicting the deflection path of both non-tapered and continuously tapered cantilever beams loaded with a vertical end force is presented. It is based on the proposition that the path is a function of the ratio of the endpoints’ moments of inertia. The model is valid for both small and large (the tip makes a 70 degree angle with the horizontal) deflections. This was verified through physical testing, comparison to solution of the Bernoulli-Euler equation, and results obtained through nonlinear finite element analysis. Predicted endpoint deflections were found to be accurate within 1.8% of the actual deflection path for moment of inertia ratios varying from 1:1 to 1000:1.

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