A meshfree DLO formulation for yield line analysis of reinforced concrete slabs

Authors

  • Le Van Canh
    Department of Civil Engineering, International University, VNU HCMC, VN
  • Nouphaxay Vilakone
    University of Technology, VNU HCMC, VN
  • Luong Van Hai
    University of Technology, VNU HCMC, VN

Keywords:

Limit analysis; meshfree DLO; yield line analysis; reinforced concrete slabs

Abstract

The yield-line method of analysis is a powerful tool that can be used to rapidly estimate the limit load sustainable by a reinforced concrete slab. In recent years, it has been limited in use due to its difficulties to computerise. Consequently, the Discontinuity Layout Optimization (DLO) procedure has been proposed to provide a systematic means of automating the method. In the DLO formulation, the size of the underlying optimization is highly affected by the number of the potential yield-lines generated. In this paper the concept of domain of influence in the framework of mesh-free methods will be introduced to the DLO method, resulting an efficient DLO method that can provide accurate solutions compared with the original DLO method while the problem size is very much smaller.

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References

H. Ciria, J. Peraire, and J. Bonet. Mesh adaptive computation of upper and lower bounds in limit analysis. International Journal for Numerical Methods in Engineering, 75:899-944, 2008.

J. J. Munoz, J. Bonet, A. Huerta, and J. Peraire. Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading. International Journal for Numerical Methods in Engineering, 77:471-501, 2009.

C. V. Le, M. Gilbert, and H. Askes. Limit analysis of plates using the EFG method and second-order cone programming. International Journal for Numerical Methods in Engineering, 78:1532-1552, 2009.

C.C. Smith and M. Gilbert. Application of discontinuity layout optimization to plane plasticity problems. Proc. Royal Society A, 463(2086):2461-2484, 2007.

M. Gilbert, C.C. Smith, C.V. Le, and H.M Ahmed. Yield-line analysis of slabs using discontinuity layout optimization. submitted.

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Received: 04-06-2020
Accepted: 04-06-2020
Published: 15-03-2012

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How to Cite

Canh, L. V., Vilakone, N., & Hai, L. V. (2012). A meshfree DLO formulation for yield line analysis of reinforced concrete slabs. HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 2(1), 57–65. Retrieved from https://journalofscience.ou.edu.vn/index.php/tech-en/article/view/391

License

Copyright (c) 2012 Le Van Canh; Nouphaxay Vilakone; Luong Van Hai

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.