A One-Dimensional Nonlocal Damage-Plasticity Model for Ductile Materials |
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Authors: | Jonathan P Belnoue Giang D Nguyen Alexander M Korsunsky |
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Affiliation: | (1) Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, England;(2) Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico, NM 87131, U.S.A |
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Abstract: | 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. |
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Keywords: | metallic materials plasticity damage softening fracture energy |
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