Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity

Larsson, R., Steinmann, P. and Runesson, K. (1999) Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity. Mechanics of Cohesive-Frictional Materials, 4(2), pp. 171-194. (doi: 10.1002/(SICI)1099-1484(199903)4:2<171::AID-CFM81>3.0.CO;2-X)

Abstract

In the present paper, we consider the problem of how to represent a regularized strong discontinuity in the finite element environment within the context of large deformation multiplicative elasto‐plasticity theory; An issue that has been addressed quite extensively for the geometrically linear theory in recent years to establish cohesive zone models in the finite element setting. Our method, which is based on the enhanced assumed strain method, is designed such that the (mixed) element interpolation allows for a regularized discontinuity within the finite elements. As a result, we obtain traction continuity across the embedded band in an automatic fashion for the proposed ‘enhanced constant strain triangle’, whereby the magnitude and mode of the internal discontinuity are obtained for the elastic/plastic loading assumption of the element. It appears that the condition for onset of discontinuity development within the elements is identical to the classical localization condition for the continuum. We present numerical results for the ductile failure of a plane strain specimen.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Steinmann, Professor Paul
• Authors: Larsson, R., Steinmann, P., and Runesson, K.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Mechanics of Cohesive-Frictional Materials
• Publisher: Wiley
• ISSN: 1082-5010
• ISSN (Online): 1099-1484