Numerical aspects in the finite element simulation of the Portevin-Le Chatelier effect

作者：Maziere M^*; Besson J; Forest S; Tanguy B; Chalons H; Vogel F

来源：Computer Methods in Applied Mechanics and Engineering, 2010, 199(9-12): 734-754.

DOI：10.1016/j.cma.2009.11.004

• Portevin-Le Chatelier effect
• Computational mechanics
• Mesh sensitivity
• Viscoplastic instability

Serrated yielding and propagation of localized bands of plastic strain rate are the apparent phenomena of the Portevin-Le Chatelier (PLC) effect. The finite element modeling of this effect is investigated, using a model proposed by Zhang et al. [74] describing dynamic strain aging, and material parameters for a Nickel based superalloy at 500 degrees C. This work presents: (1) an efficient implicit integration scheme of the constitutive equations in the presence of instabilities; (2) a numerical tool to determine the type of plastic strain rate localization bands based on results of simulations; and (3) a mesh and time discretization sensitivity analysis of the model regarding the characteristics of PLC bands. This analysis is carried out in 2D and 3D for axisymmetric smooth and notched specimens.

• 出版日期2010