Study on the Strategy of Elastic Modulus Adjustment of the Elastic Modulus Reduction Method for Limit Analysis of Structures Containing Flaws

Abstract:

As a limit analysis method lately presented, the elastic modulus reduction method (EMRM) has the advantages of simplicity and high efficiency. In this paper, the strategy of elastic modulus adjustment of the EMRM is studied in order to extend the method applicable to the limit analysis of structures containing flaws (SCF). Two new algorithms of the reference element bearing ratio, reference element bearing ratio based on reference stress (REBS) and reference element bearing ratio based on integral element bearing ratio gradient (REBG), are proposed. Numerical examples show that the problems of instability and non-convergence in iterative process of limit analysis of SCF are improved, when the REBS or REBG is used in the strategy of elastic modulus adjustment of the EMRM.

• Periodical: Advanced Materials Research (Volumes 163-167)
• Pages: 655-663
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.163-167.655
• Online since: December 2010
• Authors: Wei Zhang, Li Wen Liu, Lu Feng Yang
• Keywords: Elastic Modulus Reduction Method, Reference Element Bearing Ratio, Strategy of Elastic Modulus Adjustment, Ultimate Bearing Capacity

References

[1] Z.F. Sang, L. p. Xue: J. Nanjing. Univ. Chem. Technol. Vol. 21 (1999), P. 15 (In Chinese).

[2] M. Heitzer: Int. J. Mech. Sci. Vol. 44 (2002), P. 1219.

[3] L.J. Chen, Y.H. Liu and P. Yang: Eur. J. Mech. A Solids Vol. 27 (2008), P. 195.

[4] R. Adibi-Asl, R. Seshadri: J. Press. Vess. Technol. Vol. 129 (2007), P. 392.

[5] R. Seshadri: J. Press. Vess. Technol. Vol. 113 (1991), P. 219.

[6] D. Mackenzie, J.T. Boyle: Int. J. Press. Vess. Pip. Vol. 53 (1992), P. 77.

[7] P. Yang, Y.H. Liu and Y. Ohtake: Int. J. Press. Vess. Pip. Vol. 82 (2005), P. 770.

[8] L.F. Yang, B. Yu and Y. P. Qiao: Acta. Mech. Solid. Sinica. Vol. 22 (2009), P. 109.

[9] B. Yu, L.F. Yang: Thin Wall. Struct. Vol. 48 (2010), P. 291.

[10] L.F. Yang, Y. P. Qiao: J. Changsha. Commun. Univ. Vol. 24 (2008), P. 1 (In Chinese).

[11] L.F. Yang, B. Yu and W. Zhang: Eng. Mech. Vol. 27 (2009), P. 64 (In Chinese).

[12] W. Zhang, L.F. Yang and X.F. Han: J. Hydra. Eng. Vol. 40 (2009), P. 1175 (In Chinese).

[13] W. Zhang, L.F. Yang and X.F. Han: J. Hydroele. Eng. Vol. 29 (2010), P. 176 (In Chinese).

[14] M. Robinson: Int. J. Mech. Sci. Vol. 71 (1971), P. 345.

[15] R. Seshadri, S.P. Mangalaramanan: Int. J. Press. Vess. Pip Vol. 71 (1997), P. 93.

[16] Y. Lei: Int. J. Press. Vess. Pip. Vol. 85 (2008), P. 825.