A Practical Method to Calculate Elasto-Plastic J-Integral

Yu He Li; Xin Li Bai; Ya Wei Zhao

doi:10.4028/www.scientific.net/AMM.249-250.104

Paper Titles

Numerical Simulation Studies on Surface Erosion of Transmission Line in Sand and Dust Conditions
p.82

Experimental Study on Measurement Accuracy of Prediction Index K₁ for Rock Crosscut Coal Uncovering
p.88

Temperature Drift Compensation Algorithm Based on BP and GA in Quartzes Flexible Accelerometer
p.95

Buffeting Prediction of a Square Cylinder with Inflow Turbulence
p.100

A Practical Method to Calculate Elasto-Plastic J-Integral
p.104

Real-Time Detection of Adhesion Coefficient between Tire and Road
p.109

Research on WALKER Constitutive Model Tangent Modulus
p.113

Flow Microsensor of Thermal Type for Measurements of Gas Fluxes
p.118

A Study of Air Flow through Perforated Tile for Air Conditioning System in Data Center
p.126

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 249-250A Practical Method to Calculate Elasto-Plastic...

A Practical Method to Calculate Elasto-Plastic J-Integral

Abstract:

For Ramberg-Osgood elasto-plastic material, under the premise that integration path is limited through the Gaussian integration points, the finite element expressions of the J- integral were deduced in detail. Using the method of coordinate transformation, integration was conducted through the plane rs of the shell element local coordinate system rst (t for shell element thickness direction). The integration points on mid-surface of the shell element were considered. Thus the finite element expressions of the J- integral can be applied to shell elements, the J- integral calculation problem of the shell structure with crack can be solved. A lot of standard sample results comparisons show that the calculation precision of the method proposed in this paper meet the requirements of engineering. Finally, the J- integral of a pressure vessel (a cylindrical shell with a hole and unilateral axial crack) was calculated. The obtained results are recognized by a pressure vessel research institution and referenced in the design. In the conventional finite element calculation, users can, at the same time, obtain the J- integral of the component with crack. So the method in the paper has strong practicability and high engineering application value.

You might also be interested in these eBooks

Applied Mechanics and Mechanical Engineering III

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 249-250)

Pages:

104-108

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.249-250.104

Citation:

Cite this paper

Online since:

December 2012

Authors:

Yu He Li, Xin Li Bai, Ya Wei Zhao

Keywords:

Elasto-Plastic, Ĵ-Integral, Pressure Vessel, Ramberg-Osgood Material, Shell Element

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J.S. Yan, Translated articles on railway technology, Southwest Jiaotong University Press, Chengdu, (1985).

Google Scholar

[2] M.J. Huang, X.H. Zhao, X.L. Bai, Plane Elasto-plastic Fracture Mechanics Method, Zhengzhou Research Institute of mechanical Engineering, Zhengzhou, (1986).

Google Scholar

[3] T.L. Anderson, Fracture Mechanics - Fundamentals and Applications, CRC press, Boca Raton, (1991).

Google Scholar

[4] Z.J. Yi, J.Y. Gu, Elastic-plastic analysis of antiplane crack near crack surface region, Applied Mathematics and Mechanics (English Edition). 31 (2010) 895-902.

DOI: 10.1007/s10483-010-1323-x

Google Scholar

[5] F. C Jiang, R.T. Liu, Research on dynamic elastic-plastic fracture toughness JId testing method, Journal of Mechanical Strength. 24 (2002) 417-419.

Google Scholar