Application of the Bipotential Theory to a Nonassociated Drucker–Prager Model

The bipotential theory allows us to describe nonassociated material laws. In this paper, we propose its application to the Drucker–Prager model. With a new description of the implicit flow rules, we propose dual constitutive cones as well as five forms of the bipotential function: the elastic stage...

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Bibliographic Details
Published inAdvances in Civil Engineering Vol. 2018; no. 2018; pp. 1 - 11
Main Authors Zhou, Jian-Bo, Rojas Quintero, Juan Antonio, Feng, Zhi-Qiang, Zhou, Yang-Jing, Chen, Hui-Jian
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2018
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Accuracy
Algorithms
Applied mathematics
Civil engineering
Computer simulation
Cones
Elastoplasticity
Engineering
Engineering Sciences
Finite element analysis
Finite element method
Kinematics
Laws, regulations and rules
Mathematical models
Mechanics
Methods
Numerical analysis
Porous materials
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Summary:The bipotential theory allows us to describe nonassociated material laws. In this paper, we propose its application to the Drucker–Prager model. With a new description of the implicit flow rules, we propose dual constitutive cones as well as five forms of the bipotential function: the elastic stage in rate form, the plastic stage in rate form, the elastic stage in incremental form, the plastic stage in incremental form, and the elastoplastic stage in incremental form. By combining these with the finite element method, a numerical strategy that deals with the nonassociated Drucker–Prager model is obtained. Two examples are simulated to verify the accuracy, the stability, and the practicability of the algorithm in civil engineering.
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ISSN:1687-8086
1687-8094
1687-8094
DOI:10.1155/2018/4534750