A uniquely defined multiplicative elasto-plasticity model with orthotropic yield function and plastic spin

Manfred Hannes Ulz*, Christian Celigoj

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

Abstract

A rate-independent model for isotropic elastic–orthotropic plastic material behaviour including the plastic spin is presented in this paper. The plastic spin, as introduced by Dafalias, is the spin of the continuum relative to the material substructure. The model is based on a specific multiplicative decomposition of the deformation gradient tensor, which introduces a uniquely defined intermediate configuration as motivated by Casey. We focus our attention on metal sheets in forming processes, in which pre-existing preferred orientations govern the orthotropic plastic behaviour. As a result, we advocate a Hill-type yield criterion enriched by the notion of plastic spin to describe this material behaviour. Our formulation yields three key findings: firstly, the uniquely defined intermediate configuration, namely a plastically stretched intermediate configuration, allows for a neat implementation of the plastic spin; secondly, the algorithmic formulation is straightforward and shows no additional difficulties in the implementation; and thirdly, a good agreement of our numerical model with experimental and numerical results from in-plane sheet forming processes reported in the literature is achieved.

Originalspracheenglisch
Aufsatznummer113565
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang374
DOIs
PublikationsstatusVeröffentlicht - 30 Nov. 2020

ASJC Scopus subject areas

  • Werkstoffmechanik
  • Maschinenbau
  • Physik und Astronomie (insg.)
  • Angewandte Informatik
  • Numerische Mechanik

Fingerprint

Untersuchen Sie die Forschungsthemen von „A uniquely defined multiplicative elasto-plasticity model with orthotropic yield function and plastic spin“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren