Nurbs-based isogeometric analysis for small deformation of viscoplastic and creep problems

Ran Zhang; Gang Zhao; Wei Wang; Xiaoxiao Du; Mayi Guo

doi:10.14733/cadaps.2021.831-848

Nurbs-based isogeometric analysis for small deformation of viscoplastic and creep problems

Ran Zhang
, Gang Zhao
, Wei Wang^*
, Xiaoxiao Du
, Mayi Guo

^*Corresponding author for this work

School of Mechanical Engineering and Automation

Beihang University
Beijing Engineering Technological Research Center of High-Efficient and Green CNC Machining Process and Equipment

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

Abstract

This paper focuses on the application of NURBS-based isogeometric analysis to viscoplastic and creep problems, in the context of two dimensional small deformation. Viscoplastic materials combining with von Mises yield function and Perzyna's flow rule are employed. The stress expression, stress-strain relationship matrix, isogeometric discrete formulations and other important formulas of viscoplastic and creep problems are derived and listed in detail. Several numerical examples are investigated to verify the proposed method through comparing the results with that from commercial software ABAQUS as well as existing literatures.

Original language	English
Pages (from-to)	831-848
Number of pages	18
Journal	Computer-Aided Design and Applications
Volume	18
Issue number	4
DOIs	https://doi.org/10.14733/cadaps.2021.831-848
State	Published - 2020

Keywords

Creep deformation
Isogeometric analysis
Nonlinear
Viscoplastic materials

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10.14733/cadaps.2021.831-848

Cite this

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title = "Nurbs-based isogeometric analysis for small deformation of viscoplastic and creep problems",

abstract = "This paper focuses on the application of NURBS-based isogeometric analysis to viscoplastic and creep problems, in the context of two dimensional small deformation. Viscoplastic materials combining with von Mises yield function and Perzyna's flow rule are employed. The stress expression, stress-strain relationship matrix, isogeometric discrete formulations and other important formulas of viscoplastic and creep problems are derived and listed in detail. Several numerical examples are investigated to verify the proposed method through comparing the results with that from commercial software ABAQUS as well as existing literatures.",

keywords = "Creep deformation, Isogeometric analysis, Nonlinear, Viscoplastic materials",

author = "Ran Zhang and Gang Zhao and Wei Wang and Xiaoxiao Du and Mayi Guo",

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T1 - Nurbs-based isogeometric analysis for small deformation of viscoplastic and creep problems

AU - Zhang, Ran

AU - Zhao, Gang

AU - Wang, Wei

AU - Du, Xiaoxiao

AU - Guo, Mayi

PY - 2020

Y1 - 2020

N2 - This paper focuses on the application of NURBS-based isogeometric analysis to viscoplastic and creep problems, in the context of two dimensional small deformation. Viscoplastic materials combining with von Mises yield function and Perzyna's flow rule are employed. The stress expression, stress-strain relationship matrix, isogeometric discrete formulations and other important formulas of viscoplastic and creep problems are derived and listed in detail. Several numerical examples are investigated to verify the proposed method through comparing the results with that from commercial software ABAQUS as well as existing literatures.

AB - This paper focuses on the application of NURBS-based isogeometric analysis to viscoplastic and creep problems, in the context of two dimensional small deformation. Viscoplastic materials combining with von Mises yield function and Perzyna's flow rule are employed. The stress expression, stress-strain relationship matrix, isogeometric discrete formulations and other important formulas of viscoplastic and creep problems are derived and listed in detail. Several numerical examples are investigated to verify the proposed method through comparing the results with that from commercial software ABAQUS as well as existing literatures.

KW - Creep deformation

KW - Isogeometric analysis

KW - Nonlinear

KW - Viscoplastic materials

UR - https://www.scopus.com/pages/publications/85095932520

U2 - 10.14733/cadaps.2021.831-848

DO - 10.14733/cadaps.2021.831-848

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SN - 1686-4360

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EP - 848

JO - Computer-Aided Design and Applications

JF - Computer-Aided Design and Applications

IS - 4

ER -

Nurbs-based isogeometric analysis for small deformation of viscoplastic and creep problems

Abstract

Keywords

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