Implementation and application of the multiresolution continuum theory

Guohe Li*, Jiaying Gao, Orion L. Kafka, Jacob Smith, Wing Kam Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The multiresolution continuum theory (MCT) is implemented in FEA with a bespoke user defined element and materials. A simple dog-bone model is used to validate the code and study the effect of microscale parameters. The ability of the method to simulate the propagation of a shear band in simple shear without mesh dependence is shown. The length scale parameter is demonstrated to influence shear band width. Finally, we present a simulation of serrated chip formation in metal cutting, a case where accurate prediction of shear band formation is critical. The advantages of MCT over conventional methods are discussed. This work helps elucidate the role of the length scale and microscale parameters in MCT, and is a demonstration of a practical engineering application of the method: the simulation of high speed cutting.

Original languageEnglish (US)
Pages (from-to)631-647
Number of pages17
JournalComputational Mechanics
Issue number4
StatePublished - Apr 15 2019


  • High speed cutting
  • Multiresolution continuum theory
  • Shear band
  • Simple shear

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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