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A cell-less BEM formulation for axisymmetric elastoplasticity via particular integrals

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Abstract

This study deals with the particular integral formulation for purely axisymmetric elastoplastic analysis. The axisymmetric elastostatic equation is used for the complementary solution. The axisymmetric particular integrals for displacement and strain rates are derived by integrating three-dimensional formulation along the circumferential direction leading to elliptic integrals. The particular integrals for stress and traction rates are obtained by using the stress–strain and traction–stress relations. The Newton–Raphson algorithm for the plastic multiplier is used to solve the system equation. The numerical results for four example problems are given and compared with their analytical solutions or those by other BEM and FEM programs to demonstrate the accuracy of the present formulation. Generally, agreement among all of those results is satisfactory.

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Authors and Affiliations

  1. School of Engineering and Technology, Asian Institute of Technology, P. O. Box 4, Klong Luang, Pathumthani, 12120, Thailand

    Adisorn Owatsiriwong, Bupavech Phansri & Kyung-Ho Park

  2. Department of Civil, Environmental, and Architectural Engineering, Korea University, Anam-Dong, Sungbuk-Gu, Seoul, 136-701, Republic of Korea

    Jung-Sik Kong

Authors
  1. Adisorn Owatsiriwong
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  2. Bupavech Phansri
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  3. Jung-Sik Kong
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  4. Kyung-Ho Park
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Correspondence to Kyung-Ho Park.

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Owatsiriwong, A., Phansri, B., Kong, JS. et al. A cell-less BEM formulation for axisymmetric elastoplasticity via particular integrals. Comput Mech 44, 161–172 (2009). https://doi.org/10.1007/s00466-009-0367-6

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  • DOI: https://doi.org/10.1007/s00466-009-0367-6

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