A one-dimensional nonlocal damage-plasticity model for ductile materials

Jonathan P. Belnoue, Giang D. Nguyen, Alexander M. Korsunsky

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


This paper presents a new 1-D non-local damage-plasticity deformation model for ductile materials. It uses the thermodynamic framework described in Houlsby and Puzrin (2000) and holds, nevertheless, some similarities with Lemaitre's (1971) approach. A 1D finite element (FE) model of a bar fixed at one end and loaded in tension at the other end is introduced. This simple model demonstrates how the approach can be implemented within the finite element framework, and that it is capable of capturing both the pre-peak hardening and post-peak softening (generally responsible for models instability) due to damage-induced stiffness and strength reduction characteristic of ductile materials. It is also shown that the approach has further advantages of achieving some degree of mesh independence, and of being able to capture deformation size effects. Finally, it is illustrated how the model permits the calculation of essential work of rupture (EWR), i.e. the specific energy per unit cross-sectional area that is needed to cause tensile failure of a specimen.

Original languageEnglish
Pages (from-to)53-60
Number of pages8
JournalInternational Journal of Fracture
Issue number1
Publication statusPublished - Mar 2007
Externally publishedYes


  • Damage
  • Fracture energy
  • Metallic materials
  • Plasticity
  • Softening


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