Modelling inter- and transgranular fracture in piezoelectric polycrystals

作者: C.V. Verhoosel , M.A. Gutiérrez

DOI: 10.1016/J.ENGFRACMECH.2008.07.004

关键词:

摘要: A cohesive zone finite element model for quasi-static fracture of piezoelectric polycrystals is proposed. Interface elements are used to both inter- and transgranular fracture. Electromechanical constitutive relations derived by enhancing commonly mechanical traction-opening laws with a parallel plate capacitor. Numerical simulations demonstrate that the proposed correctly mimics several experimentally observed phenomena. Most importantly switch from mainly intergranular increasing grain size modelled correctly. The also influence an electric field on ultimate load.

参考文章(26)
G. N. Wells, L. J. Sluys, A new method for modelling cohesive cracks using finite elements International Journal for Numerical Methods in Engineering. ,vol. 50, pp. 2667- 2682 ,(2001) , 10.1002/NME.143
A. Turon, C.G. Dávila, P.P. Camanho, J. Costa, An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models Engineering Fracture Mechanics. ,vol. 74, pp. 1665- 1682 ,(2007) , 10.1016/J.ENGFRACMECH.2006.08.025
Klaus-Jürgen Bathe, Finite Element Procedures ,(1995)
Y. E. Pak, Linear electro-elastic fracture mechanics of piezoelectric materials International Journal of Fracture. ,vol. 54, pp. 79- 100 ,(1992) , 10.1007/BF00040857
A. Cardou, C. Jolicoeur, Mechanical Models of Helical Strands Applied Mechanics Reviews. ,vol. 50, pp. 1- 14 ,(1997) , 10.1115/1.3101684
Stefano Mariani, Umberto Perego, Extended finite element method for quasi‐brittle fracture International Journal for Numerical Methods in Engineering. ,vol. 58, pp. 103- 126 ,(2003) , 10.1002/NME.761
Sang-Beom Kim, Doh-Yeon Kim, Jeong-Joo Kim, Sang-Hee Cho, Effect of grain size and poling on the fracture mode of lead zirconate titanate ceramics Journal of the American Ceramic Society. ,vol. 73, pp. 161- 163 ,(1990) , 10.1111/J.1151-2916.1990.TB05113.X
Miguel A. Gutiérrez, Energy release control for numerical simulations of failure in quasi‐brittle solids Communications in Numerical Methods in Engineering. ,vol. 20, pp. 19- 29 ,(2003) , 10.1002/CNM.649