Implicit finite element formulation of multiresolution continuum theory

Hao Qin*, Lars Erik Lindgren, Wing Kam Liu, Jacob Smith

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The multiresolution continuum theory is a higher order continuum theory where additional kinematic variables account for microstructural inhomogeneities at several distinct length scales. This can be particularly important for localization problems. The strength of this theory is that it can account for details in the microstructure of a material without using an extremely fine mesh. The present paper describes the implementation and verification of a 3D elastic-plastic multiresolution element based on an implicit time stepping algorithm. It is implemented in the general purpose finite element program FEAP. The mesh independency associated with the length scale parameter is examined and the convergence rate of the element is also evaluated.

Original languageEnglish (US)
Pages (from-to)114-130
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Volume293
DOIs
StatePublished - Aug 5 2015

Keywords

  • Damage
  • Finite element method
  • Localization
  • Multiresolution continuum theory

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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