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Elastoplastic Analysis using Boundary Elements

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Numerical Methods in Geomechanics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 92))

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Abstract

This paper presents some recent developments on the application of boundary elements to plasticity on the lines previously presented by the authors (Tellas and Brebbia, 1979, 1980a, 1980b).

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References

  • Brebbia, C. A. and Walker S. (1979) The Boundary Element Techniques in Engineering. Butterworths, London.

    Google Scholar 

  • Cathie, D. N. (1980) On the Implementation of Elastoplastic Boundary Element Analysis, Proc. 2nd Int. Seminar on Recent Advances in Boundary Element Methods, (edited by C. A. Brebbia ), Univ. of Southampton, U.K.: 318–334.

    Google Scholar 

  • Chen, W. F. (1975) Limit Analysis and Soil Plasticity. Elsevier Scientific Publishing Co., Amsterdam.

    Google Scholar 

  • Melan, E . (1932) Der Spannungszustand der durch eine Einzelkraft in Innern beanspruchten Halbscheibe, Z. Angew. Math. Mech., 12: 343–346.

    Article  Google Scholar 

  • Mendelson, A. (1968) Plasticity: Theory and Application. MacMillan, New York and London.

    Google Scholar 

  • Mikhlin, S. G. (1962) Singular Integral Equations. Amer. Math. Soc. Trans., Series 1, 1(3: 84–197

    Google Scholar 

  • Mukherjee, S. (19 77) Corrected Boundary Integral Equation in Planar Thermoelastoplasticity, Int. J. Solids Structures, 13:331–335

    Article  Google Scholar 

  • Mukherjee, S. and Kumar, V. (1978) Numerical Analysis of Time-Dependent Inelastic Deformation in Metallic Media Using the Boundary Integral Equation Method, trans. ASME, J. Appl. Mech., 45 785–790.

    Article  Google Scholar 

  • Nagtegaal, J. C., Parks, D. M. and Rice, J. R. (1974) On Numerically Accurate Finite Element Solutions in the Fully Plastic Range, Comp. Meth. Appl. Mech. Engng., 153–177.

    Google Scholar 

  • Prager, W. and Hodge, P. G. (1968) Theory of Perfectly Plastic Solids. Dover, New York.

    Google Scholar 

  • Riccardella, P. C. (1973) An Implementation of the Boundary Integral Technique for Planar Problems in Elasticity and Elastoplasticity. Report No. SM-73–10, Dept. Mech. Engng., Carnegie Mellon Univ., Pittsburgh.

    Google Scholar 

  • Schreyer, H. L., Kulak, R. F. and Kramer, J. M. (1979) Accurate Numerical Solutions for Elastic-Plastic Problems, trans. ASME, J. Pressure Vessel Technology, 101: 226–234.

    Google Scholar 

  • Telles, J. C. F. and Brebbia, C. A. (1979) On the Application of the Boundary Element Method to Plasticity, Appl. Math. Modelling, 3: 466–470.

    Google Scholar 

  • Telles, J. C. F. and Brebbia, C. A. (1980a) The Boundary Element Method in Plasticity, Proc. 2nd Int. Seminar on Recent Advances in Boundary Element Methods, (edited by C. A. Brebbia ), Univ. of Southampton, U.K.: 295–317.

    Google Scholar 

  • Telles, J. C. F. and Brebbia C. A. (1980b) Elastoplastic Boundary Element Analysis, Proc. U.S.-Europe Workshop on Nonlinear Finite Element Analysis in Structural Mechanics, (edited by Wunderlich et al). Ruhr-University Bochum, W. Germany: 403–434.

    Google Scholar 

  • Telles, J. C. F. and Brebbia, C. A. (1981b) New Developments in Elasto Plastic Analysis, in Boundary Element Methods, Springer-Verlag, Berlin, 1981.

    Google Scholar 

  • Telles, J. C. F. and Brebbia, C. A. (1981a) Boundary Element Solution for Half-Plane Problems, Int. J. Solids Structures, in press.

    Google Scholar 

  • Zienkiewicz, O. C., Valliappan, S. and King,I. P. (1969) Elastoplastic Solutions of Engineering Problems, Initial Stress Finite Element Approach, Int. J. Num. Meth. Engng., 1: 75–100.

    Google Scholar 

  • Zienkiewicz, O. C., Humpheson, C. and Lewis, R. W. (1975) Associated and Non-Associated Visco-Plasticity and Plasticity in Soil Mechanics, Geotechnique, 25: 671–689.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, University of Southampton, Southampton, SO9 5NH, UK

    J. C. F. Telles & C. A. Brebbia

Authors
  1. J. C. F. Telles
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  2. C. A. Brebbia
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Editor information

Editors and Affiliations

  1. School of Engineering, University of Minho, Braga, Portugal

    J. B. Martins

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© 1982 D. Reidel Publishing Company

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Telles, J.C.F., Brebbia, C.A. (1982). Elastoplastic Analysis using Boundary Elements. In: Martins, J.B. (eds) Numerical Methods in Geomechanics. NATO Advanced Study Institutes Series, vol 92. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7895-9_17

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  • DOI: https://doi.org/10.1007/978-94-009-7895-9_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7897-3

  • Online ISBN: 978-94-009-7895-9

  • eBook Packages: Springer Book Archive

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