Numerical implementation of an implicit BEM scheme with the consistent tangent operator in axisymmetric elastoplasticity

C. Y. Dong

doi:10.1016/S0308-0161(98)00086-6

Numerical implementation of an implicit BEM scheme with the consistent tangent operator in axisymmetric elastoplasticity

C. Y. Dong^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper presents an implicit Boundary Element Method (BEM) algorithm with the consistent tangent operator (CTO) for axisymmetrically elastoplastic problems and is an extended version of previous work [1] (Bonnet and Mukherjee, Int J Solids Structures 1995; 33: 4461-80). Numerical implementation follows Bonnet and Muhkerjee's treatment. The implicit BEM approach with CTO has successfully been used to solve usual and sensitivity problems in 1-D [1] or 2-D [6] (Poon et al., Engng Anal Bound Elem 1998, in press) elastoplasticity. Numerical results, based on the present method, for a thick-walled cylinder under internal pressure are presented here and are shown to be in good agreement with the analytical solutions.

Original language	English
Pages (from-to)	827-830
Number of pages	4
Journal	International Journal of Pressure Vessels and Piping
Volume	75
Issue number	11
DOIs	https://doi.org/10.1016/S0308-0161(98)00086-6
Publication status	Published - Sept 1998
Externally published	Yes

Keywords

Elastoplasticity
Implicit boundary element method
Thick-walled cylinder

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10.1016/S0308-0161(98)00086-6

Cite this

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title = "Numerical implementation of an implicit BEM scheme with the consistent tangent operator in axisymmetric elastoplasticity",

abstract = "This paper presents an implicit Boundary Element Method (BEM) algorithm with the consistent tangent operator (CTO) for axisymmetrically elastoplastic problems and is an extended version of previous work [1] (Bonnet and Mukherjee, Int J Solids Structures 1995; 33: 4461-80). Numerical implementation follows Bonnet and Muhkerjee's treatment. The implicit BEM approach with CTO has successfully been used to solve usual and sensitivity problems in 1-D [1] or 2-D [6] (Poon et al., Engng Anal Bound Elem 1998, in press) elastoplasticity. Numerical results, based on the present method, for a thick-walled cylinder under internal pressure are presented here and are shown to be in good agreement with the analytical solutions.",

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AU - Dong, C. Y.

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AB - This paper presents an implicit Boundary Element Method (BEM) algorithm with the consistent tangent operator (CTO) for axisymmetrically elastoplastic problems and is an extended version of previous work [1] (Bonnet and Mukherjee, Int J Solids Structures 1995; 33: 4461-80). Numerical implementation follows Bonnet and Muhkerjee's treatment. The implicit BEM approach with CTO has successfully been used to solve usual and sensitivity problems in 1-D [1] or 2-D [6] (Poon et al., Engng Anal Bound Elem 1998, in press) elastoplasticity. Numerical results, based on the present method, for a thick-walled cylinder under internal pressure are presented here and are shown to be in good agreement with the analytical solutions.

KW - Elastoplasticity

KW - Implicit boundary element method

KW - Thick-walled cylinder

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JO - International Journal of Pressure Vessels and Piping

JF - International Journal of Pressure Vessels and Piping

IS - 11

ER -

Numerical implementation of an implicit BEM scheme with the consistent tangent operator in axisymmetric elastoplasticity

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