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

• Published in: Advances 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
• Language: English
• 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

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...