Upper bound analysis of differential velocity sideways extrusion process for curved profiles using a fan-shaped flow line model

TY - JOUR

T1 - Upper bound analysis of differential velocity sideways extrusion process for curved profiles using a fan-shaped flow line model

AU - Zhou, Wenbin

AU - Shi, Zhusheng

AU - Lin, Jianguo

N1 - Publisher Copyright: © 2018 The Authors

PY - 2018/3

Y1 - 2018/3

N2 - An analytical model for predicting the shapes of rectangular bars with variable curvatures along their lengths through a novel forming method, differential velocity sideways extrusion (DVSE), previously proposed by the authors, has been developed on the basis of the upper bound method. A new flow line function was presented to describe its deformation field. The plastic deformation zone (PDZ) was assumed to be fan-shaped, where the trajectory of the material flow within the PDZ had an elliptic shape. The proposed continuous flow line function was validated using finite element simulations. The flow patterns, extrusion pressure, curvature, and effective strain predicted by the analytical solutions agreed well with modelling results. Compared to the classical discontinuous simple shear model of channel angular extrusion (CAE) with a 90° die, the new approach was shown to predict the effective strain more closely.

AB - An analytical model for predicting the shapes of rectangular bars with variable curvatures along their lengths through a novel forming method, differential velocity sideways extrusion (DVSE), previously proposed by the authors, has been developed on the basis of the upper bound method. A new flow line function was presented to describe its deformation field. The plastic deformation zone (PDZ) was assumed to be fan-shaped, where the trajectory of the material flow within the PDZ had an elliptic shape. The proposed continuous flow line function was validated using finite element simulations. The flow patterns, extrusion pressure, curvature, and effective strain predicted by the analytical solutions agreed well with modelling results. Compared to the classical discontinuous simple shear model of channel angular extrusion (CAE) with a 90° die, the new approach was shown to predict the effective strain more closely.

KW - Bending

KW - Continuous flow line function

KW - Curvature

KW - Extrusion

KW - Section profiles

KW - Upper bound method

UR - https://www.scopus.com/pages/publications/85062812378

U2 - 10.1016/j.ijlmm.2018.03.004

DO - 10.1016/j.ijlmm.2018.03.004

M3 - Article

VL - 1

SP - 21

EP - 32

JO - International Journal of Lightweight Materials and Manufacture

JF - International Journal of Lightweight Materials and Manufacture

IS - 1

ER -