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dc.contributor.author
Sánchez, Pablo Javier
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dc.contributor.author
Blanco, Pablo Javier
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dc.contributor.author
Huespe, Alfredo Edmundo
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dc.contributor.author
Feijóo, R.A.
dc.date.available
2015-07-07T14:51:33Z
dc.date.issued
2012-12-05
dc.identifier.citation
Sánchez, Pablo Javier; Blanco, Pablo Javier; Huespe, Alfredo Edmundo; Feijóo, R.A.; Failure-Oriented Multi-scale Variational Formulation: Micro-structures with nucleation and evolution of softening bands; Elsevier Science Sa; Computer Methods In Applied Mechanics And Engineering; 257; 5-12-2012; 221-247
dc.identifier.issn
0045-7825
dc.identifier.uri
http://hdl.handle.net/11336/1071
dc.description.abstract
This contribution presents the theoretical foundations of a Formulation (FOMF) for modeling heterogeneous softening-based materials undergoing strain localization phenomena. The multi-scale model considers two coupled mechanical problems at different physical length scales, denoted as macro and micro scales, respectively. Every point, at the macro scale, is linked to a Representative Volume Element (RVE), and its constitutive response emerges from a consistent homogenization of the micro-mechanical problem. At the macroscopic level, the initially continuum medium admits the nucleation and evolution of cohesive cracks due to progressive strain localization phenomena taking place at the microscopic level and caused by shear bands, damage or any other possible failure mechanism. A cohesive crack is introduced in the macro model once a specific macroscopic failure criterion is fulfilled. The novelty of the present Failure-Oriented Multi-scale Formulation is based on a proper kinematical information transference from the macro-to-micro scales during the complete loading history, even in those points where macro cracks evolve. In fact, the proposed FOMF includes two multi-scale sub-models consistently coupled: (i) a Classical Multi-scale Model (ClaMM) valid for the stable macro-scale constitutive response.ii) A novel Cohesive Multi-scale Model (CohMM) valid, once a macro-discontinuity surface is nucleated, for modeling the macro-crack evolution. When a macro-crack is activated, two important kinematical assumptions are introduced: (i) a change in the rule that defines how the increments of generalized macro-strains are inserted into the micro-scale and (ii) the Kinematical Admissibility concept, from where proper Strain Homogenization Procedures are obtained. Then, as a consequence of the Hill-Mandel Variational Principle and the proposed kinematical assumptions, the FOMF provides an adequate homogenization formula for the stresses in the continuum part of the body, as well as, for the traction acting on the macro-discontinuity surface. The assumed macro-to-micro mechanism of kinematical coupling defines a specific admissible RVE-displacement space, which is obtained by incorporating additional boundary conditions, Non-Standard Boundary Conditions (NSBC), in the new model. A consequence of introducing these Non-Standard Boundary Conditions is that they guarantee the existence of a physically admissible RVE-size, a concept that we call through the paper objectivity of the homogenized constitutive response.Several numerical examples are presented showing the objectivity of the formulation, as well as, the capabilities of the new multi-scale approach to model material failure problems.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science Sa
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Multi-Scale Variational Formulations
dc.subject
Strain Localization Bands
dc.subject
Heterogeneous Material Failure
dc.subject
Homogenized Cohesive Models
dc.subject.classification
Recubrimientos y Películas
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dc.subject.classification
Ingeniería de los Materiales
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
Failure-Oriented Multi-scale Variational Formulation: Micro-structures with nucleation and evolution of softening bands
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
257
dc.journal.pagination
221-247
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
dc.description.fil
Fil: Blanco, Pablo Javier. Laboratório Nacional de Computação Científica; Brasil;
dc.description.fil
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
dc.description.fil
Fil: Feijóo, R.A.. Instituto Nacional de Ciência e Tecnologia em, Medicina Assistida por Computação Científica; Brasil;
dc.journal.title
Computer Methods In Applied Mechanics And Engineering
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2012.11.016
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2012.11.016
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