Special Issue on Boundary Element Method; Editor-in-Chief: M. H. AliabadiNo Access

Multiscale Analysis of Structures Composed of Metal Matrix Composites Considering Phase Debonding

Department of Civil Engineering, Campus Catalão, Federal University of Goiás, Av. Dr. Lamartine Pinto de Avelar, 1120, Catalão, Goiás 75740-020, Brazil

E-mail Address: gabrielar.fernandes@gmail.com

Search for more papers by this author

A. S. Furtado

http://orcid.org/0000-0002-5148-3044

Laboratory of Computational Modelling, Department of Civil Engineering, Campus Catalão, Federal University of Goiás, Av. Dr. Lamartine Pinto de Avelar, 1120, Catalão, Goiás 75740-020, Brazil

E-mail Address: amandafurtado25@gmail.com

Search for more papers by this author

J. J. C. Pituba

Laboratory of Computational Modelling, Department of Civil Engineering, Campus Catalão, Federal University of Goiás, Av. Dr. Lamartine Pinto de Avelar, 1120, Catalão, Goiás 75740-020, Brazil

E-mail Address: Julio_pituba@ufg.br

Search for more papers by this author

, and

E. A. De Souza Neto

Civil and Computational Engineering Centre, School of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, UK

E-mail Address: E.deSouzaNeto@swansea.ac.uk

Search for more papers by this author

https://doi.org/10.1142/S1756973717400042Cited by:2 (Source: Crossref)

Abstract

Multiscale analyses considering the stretching problem in plates composed of metal matrix composites (MMC) have been performed using a coupled BEM/FEM model, where the boundary element method (BEM) and the finite element method (FEM) models, respectively, the macrocontinuum and the material microstructure, denoted as representative volume element (RVE). The RVE matrix zone behavior is governed by the von Mises elasto-plastic model while elastic inclusions have been incorporated to the matrix to improve the material mechanical properties. To simulate the microcracks evolution at the interface zone surrounding the inclusions, a modified cohesive fracture model has been adopted, where the interface zone is modeled by means of cohesive contact finite elements to capture the effects of phase debonding. Thus, this paper investigates how this phase debonding affects the microstructure mechanical behavior and consequently affects the macrostructure response in a multiscale analysis. For that, initially, only RVEs subjected to a generic strain are analyzed. Then, multiscale analyses of plates have been performed being each macro point represented by a RVE where the macro-strain must be imposed to solve its equilibrium problem and obtain the macroscopic constitutive response given by the homogenized values of stress and constitutive tensor fields over the RVE.

Keywords:

References

1. J. J. C. Pituba and G. R. Fernandes , An anisotropic damage model for concrete, J. Eng. Mech. ASCE 137 [2011] 610–624. Crossref, Google Scholar
2. J. Oliver, M. Caicedo, E. Roubin, A. E. Huespe and J. A. Hernández , Continuum approach to computational multiscale modeling of propagating fracture, Comput. Methods Appl. Mech. Eng. 294 [2015] 384–427. Crossref, Google Scholar
3. C. Miehe, J. Schröder and J. Schotte , Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials, Comput. Methods Appl. Mech. Eng. 171 (3–4) [1999] 387–418. Crossref, Google Scholar
4. D. Peric, E. A. de Souza Neto, R. A. Feijóo, M. Partovi and A. J. Carneiro Molina , On micro-to-macro transitions for multiscale analysis of heterogeneous materials: Unified variational basis and finite element implementation, Int. J. Numer. Methods Eng. 87 (1–5) [2011] 149–170. Crossref, Google Scholar
5. V. P. Nguyen, O. Lloberas Valls, M. Stroeven and L. J. Sluys , On the existence of representative volumes for softening quasi-brittle materials – a failure zone averaging scheme, Comput. Methods Appl. Mech. Eng. 199 [2010] 3026–3036. Google Scholar
6. R. Azizi , Micromechanical modeling of damage in periodic composites using strain gradient plasticity, Eng. Fract. Mech. 92 [2012] 101–113. Crossref, Google Scholar
7. P. J. Sánchez, P. J. Blanco, A. E. Huespe and R. A. Feijóo , Failure-oriented multi-scale variational formulation: Micro-structures with nucleation and evolution of softening bands, Comput. Methods Appl. Mech. Eng. 257 [2013] 221–247. Crossref, Google Scholar
8. J. J. C. Pitub and E. A. Souza Neto , Modeling of unilateral effect in brittle materials by a mesoscopic scale approach, Comput. Concrete: Int. J. 15 [2015] 1–25. Google Scholar
9. J. J. C. Pituba, G. R. Fernandes and E. A. Souza Neto , Modelling of cohesive fracture and plasticity processes in composite microstructures, J. Eng. Mech. 142 [2016] 04016069-1–04016069-15. Crossref, Google Scholar
10. S. Toro, P. J. Sanchez, P. J. Blanco, E. A. Souza Neto, A. E. Huespe and R. A. Feijóo , Multiscale formulation for material failure accounting for cohesive cracks at the macro and micro scales, J. Plasticity 76 [2016] 75–110. Crossref, Google Scholar
11. E. A. Rodrigues, O. L. Manzoli, L. A. G. Bitencourt Jr and T. N. Bittencourt , 2D mesoscale model for concrete based on the use of interface element with a high aspect ratio, Int. J. Solids Struct. 94–95 [2016] 112–124. Crossref, Google Scholar
12. M. A. A. Cavalcante and S. P. C. Marques , Microstructure effects in wavy-multilayers with viscoelastic phases, Europ. J. Mech. A, Solids 64 [2017] 178–185. Crossref, Google Scholar
13. G. R. Fernandes, J. J. C. Pituba and E. A. De Souza Neto , Multi-scale modelling for bending analysis of heterogeneous plates by coupling BEM and FEM, Eng. Anal. Bound. Elem. 51 [2015] 1–13. Crossref, Google Scholar
14. G. R. Fernandes, J. J. C. Pituba and E. A. De Souza Neto , FEM/BEM formulation for multi-scale analysis of stretched plates, Eng. Anal. Bound. Elem. 54 [2015] 47–59. Crossref, Google Scholar
15. I. Benedetti and M. H. Aliabadi , A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials, Comput. Methods Appl. Mech. Eng. 265 [2013] 36–62. Crossref, Google Scholar
16. W. F. Santos and J. J. C. Pituba , Yield surfaces of material composed of porous and heterogeneous microstructures considering phase debonding, Latin Amer. J. Solids Struct. 14 [2017] 1387–1415. Crossref, Google Scholar
17. F. Cirak, M. Ortiz and A. Pandolfi , A cohesive approach to thin-shell fracture and fragmentation, Comput. Method Appl. Mech. Eng. 194 [2005] 2604–2618. Crossref, Google Scholar
18. M. Ortiz and A. Pandolfi , Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis, Int. J. Numer. Methods Eng. 44 [1999] 1267–1282. Crossref, Google Scholar
19. G. R. Fernandes and E. A. de Souza Neto , Self-consistent linearization of non-linear BEM formulations with quadratic convergence, Comput. Mech. 52 [2013] 1125–1139. Crossref, Google Scholar
20. S. M. Kim and R. K. A. Al-Rub , Meso-scale computational modeling of the plastic-damage response of cementitious composites, Cement Concrete Res. 41 [2011] 339–358. Crossref, Google Scholar
21. D. C. Borges, W. M. G. Quaresma, G. R. Fernandes and J. J. C. Pituba , Evaluation of a proposed model for concrete at mesoscopic scale, IBRACON Struct. Mater. J. 10 [2017] 1087–1112. Crossref, Google Scholar
22. W. F. Santos, G. R. Fernandes and J. J. C. A. Pituba , Analysis of the influence of plasticity and fracture processes on the mechanical behavior of metal matrix composites microstructures, Rev. Mat. 21 [2016] 577–598. Google Scholar