Assessment of the Engineering Approach for the Evaluation of C-Shaped Specimens

1990 ◽  
Vol 112 (4) ◽  
pp. 353-366 ◽  
Author(s):  
J. M. Goan ◽  
M. A. Sutton ◽  
Y. J. Chao
Keyword(s):  
Finite Element ◽  
Plane Stress ◽  
Limit Load ◽  
J Integral ◽  
Baseline Study ◽  
Engineering Approach ◽  
Stress Problem ◽  
Standard Specimens ◽  
Finite Element Calculations ◽  
Plane Stress Problem

A baseline study has been carried out to assess the accuracy of the engineering approach for J-integral determination when applied to various standard specimens. Detailed finite element calculations were used to assess the accuracy of this approach. Although certain discrepancies were found when comparing the approximated functions obtained in this work to those in previous work, the error trends are similar and consistent throughout the analysis. Then, the engineering approach outlined in the baseline study is applied to the 2-D plane stress problem of a C-shaped specimen subjected to tension. Derivation of limit-load, fully plastic solutions and elastic-plastic estimation formulas are given in detail. Detailed comparisons between results from estimation solutions and finite element calculations are presented.

The Effect of Specimen Thickness on the Tearing Energy of a Gum Vulcanizate

1989 ◽  
Vol 62 (5) ◽  
pp. 850-862 ◽  
Author(s):  
Kenneth A. Mazich ◽  
K. N. Morman ◽  
F. G. Oblinger ◽  
T. Y. Fan ◽  
P. C. Killgoar
Keyword(s):  
Finite Element ◽  
Laboratory Experiments ◽  
Pure Shear ◽  
Thickness Effect ◽  
Specimen Thickness ◽  
J Integral ◽  
Shear Specimen ◽  
Standard Specimens ◽  
Finite Element Calculations ◽  
Tearing Energy

Abstract We have examined the effect of thickness on the critical tearing energy of a simple gum vulcanizate of SBR in pure shear. Laboratory experiments and finite-element calculations agree that the tearing energy that is measured with a pure-shear specimen increases with the thickness of the specimen. Laboratory measurements indicate that the deformation for crack growth in a pure-shear specimen increases with the thickness of the specimen. Finite-element calculations show that the energy available for release at a given deformation also increases with thickness in the range from t=1.4 mm to t=14 mm. Experiments show that the crtical tearing energy varies linearly with thickness in the range t=0.7 mm to t=2.7 mm. The effect of thickness on the tearing energy was also studied by calculating the J-integral at various points of the crack through the thickness of the pure-shear specimen. In general, the J-integral calculated at the surface of the specimen can be higher than the J-integral calculated at the center of the specimen for specimens that are sufficiently thick. The thickness effect measured in this work suggests that the “critical tearing energy” obtained from standard laboratory specimens may not be a true material property. For this reason, critical tearing energy that is measured on standard specimens may not be generally applied to predict failure in arbitrary elastomeric components.

On the Generalized Plane Stress Problem, the Gregory Decomposition and the Filon Mean Method

2011 ◽  
Vol 108 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Min-Zhong Wang ◽  
Bai-Xiang Xu ◽  
Bao-Sheng Zhao
Keyword(s):  
Plane Stress ◽  
Stress Problem ◽  
Plane Stress Problem

Elastic Equilibrium of a Plate With a Reinforced Elliptical Hole

1960 ◽  
Vol 27 (2) ◽  
pp. 283-288 ◽  
Author(s):  
Eugene Levin
Keyword(s):  
Circular Hole ◽  
Thin Plate ◽  
Plane Stress ◽  
Complex Variable ◽  
Elliptical Hole ◽  
Elastic Equilibrium ◽  
Stress Problem ◽  
Elliptical Ring ◽  
Plane Stress Problem ◽  
Digital Computers

An infinite thin plate with an elliptical hole reinforced by a confocal elliptical ring is subjected to loads in the plane. A solution to the generalized plane-stress problem is obtained using the complex variable techniques of Muskhelishvili. The result is presented in a form well suited to evaluation by digital computers. Specialization to a circular hole with a negligibly thin reinforcement is shown to be in agreement with results obtained by other authors.

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