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On the modeling of
dissipative mechanisms in a ductile softening bar
Jacinto Ulloa, Patricio Rodríguez and Esteban Samaniego |
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Vol. 11 (2016), No. 4, 463–490
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DOI: 10.2140/jomms.2016.11.463
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Abstract |
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The computational modeling of softening materials is still a challenging subject. An interesting way to deal with this problem is to adopt a variational framework. However, there are appealing features in using a classical approach. We explore the possibilities of both frameworks to include dissipative mechanisms. We start with a one-dimensional variational plastic-damage model rewritten in a classical framework, where regularization through viscoplasticity is applied. We highlight the appearance of an implicit internal length in the plastic strain field during the damage phase, allowing plasticity to evolve over a region before concentrating. Then, a consistent variational approach is adopted. A plastic strain gradient term is added to the global energy functional, with variable internal length coupled to the damage level. This model is further enriched by the addition of a hardening variable to the plastic evolution. A comparative analysis of the computational implementation of the different alternatives is performed. |
Keywords
material modeling, dissipative materials, plasticity,
damage, classical approach, variational formulation.
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Milestones
Received: 1 February 2016
Revised: 4 May 2016
Accepted: 19 May 2016
Published: 4 August 2016
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Authors |
| Jacinto Ulloa | |
| Universidad de Cuenca Av. 12 de Abril s/n 010203 Cuenca Ecuador |
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| Patricio Rodríguez | |
| Universidad de Cuenca Av. 12 de Abril s/n 010203 Cuenca Ecuador |
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| Esteban Samaniego | |
| Facultad de Ingenería and
Departamento de Recursos Hídricos y Ciencas Ambientales Universidad de Cuenca Av. 12 de Abril s/n 010203 Cuenca Ecuador |
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