Applications of Probabilistic Finite Element Methods in Elastic/Plastic Dynamics

1987 ◽  
Vol 109 (1) ◽  
pp. 2-8 ◽  
Author(s):  
W. K. Liu ◽  
T. Belytschko ◽  
A. Mani
1991 ◽  
Vol 34 (5) ◽  
pp. 46-52
Author(s):  
David Followell ◽  
Salvatore Liguore ◽  
Rigo Perez ◽  
W. Yates ◽  
William Bocchi

Finite element analyses (FEA) have emerged as a process for assessing stresses and strains in electronic equipment in order to compute the expected structural life. However, potential pitfalls may compromise accuracy. Guidelines have been established to improve the accuracy of these results. A method has been outlined that allows simplified linear FEAs to be used instead of the more complex elastic-plastic nonlinear FEA. Guidelines for mesh generation have been established to eliminate arithmetic errors caused when materials with large stiffness differences are adjacent to each other. The accuracy of FEAs when dealing with very small dimensions has been verified. Procedures for combining various loadings in order to predict life have been established for materials that exhibit stress relaxation and for those that do not. With these guidelines, FEAs can be an effective tool to predict the structural life of electronic equipment.


1984 ◽  
Vol 50 (460) ◽  
pp. 1963-1971 ◽  
Author(s):  
Kikuo KISHIMOTO ◽  
Ishou YAMAGUCHI ◽  
Masayoshi TACHIHARA ◽  
Shigeru AOKI ◽  
Masaru SAKATA

2013 ◽  
Vol 41 (2) ◽  
pp. 127-151
Author(s):  
Rudolf F. Bauer

ABSTRACT The benefits of a tire's equilibrium profile have been suggested by several authors in the published literature, and mathematical procedures were developed that represented well the behavior of bias ply tires. However, for modern belted radial ply tires, and particularly those with a lower aspect ratio, the tire constructions are much more complicated and pose new problems for a mathematical analysis. Solutions to these problems are presented in this paper, and for a modern radial touring tire the equilibrium profile was calculated together with the mold profile to produce such tires. Some construction modifications were then applied to these tires to render their profiles “nonequilibrium.” Finite element methods were used to analyze for stress concentrations and deformations within all tires that did or did not conform to equilibrium profiles. Finally, tires were built and tested to verify the predictions of these analyses. From the analysis of internal stresses and deformations on inflation and loading and from the actual tire tests, the superior durability of tires with an equilibrium profile was established, and hence it is concluded that an equilibrium profile is a beneficial property of modern belted radial ply tires.


1983 ◽  
Author(s):  
W. HABASHI ◽  
M. HAFEZ ◽  
P. KOTIUGA

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