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Philosophical Magazine Volume 88, 2008 - Issue 16
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Original Articles

Boundary condition effects on multiscale analysis of damage localization

Helen M. Inglis Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 W Green St, Urbana, IL 61801, USACorrespondence[email protected]
,
Philippe H. Geubelle Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, 104 S. Wright St, Urbana, IL 61801, USA
&
Karel Matouš Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, 104 S. Wright St, Urbana, IL 61801, USA; Computational Science and Engineering, University of Illinois at Urbana-Champaign, 1304 W. Springfield Ave, Urbana, IL 61801, USA
Pages 2373-2397 | Received 29 Oct 2007, Accepted 14 May 2008, Published online: 26 Sep 2008

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S. Saeb, P. Steinmann & A. Javili. (2018) Bounds on size-dependent behaviour of composites. Philosophical Magazine 98:6, pages 437-463.
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Saba Saeb, Paul Steinmann & Ali Javili. (2016) Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound. Applied Mechanics Reviews 68:5.
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Luís F.A. Bernardo, Ana P.B.M. Amaro, Deesy G. Pinto & Sérgio M.R. Lopes. (2016) Modeling and simulation techniques for polymer nanoparticle composites – A review. Computational Materials Science 118, pages 32-46.
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S. Zhang, J. Yin, H.W. Zhang & B.S. Chen. (2016) A two-level method for static and dynamic analysis of multilayered composite beam and plate. Finite Elements in Analysis and Design 111, pages 1-18.
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N Challamel, V Picandet & G Pijaudier-Cabot. (2014) From discrete to nonlocal continuum damage mechanics: Analysis of a lattice system in bending using a continualized approach. International Journal of Damage Mechanics 24:7, pages 983-1012.
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Alessandro Pontefisso, Michele Zappalorto & Marino Quaresimin. (2015) An efficient RVE formulation for the analysis of the elastic properties of spherical nanoparticle reinforced polymers. Computational Materials Science 96, pages 319-326.
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A. Forghani, M. Shahbazi, N. Zobeiry, A. Poursartip & R. Vaziri. 2015. Numerical Modelling of Failure in Advanced Composite Materials. Numerical Modelling of Failure in Advanced Composite Materials 151 173 .
Georgios A. Drosopoulos, Peter Wriggers & Georgios E. Stavroulakis. (2014) A multi-scale computational method including contact for the analysis of damage in composite materials. Computational Materials Science 95, pages 522-535.
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P. Z. Berke, R. H. J. Peerlings, T. J. Massart & M. G. D. Geers. (2013) A homogenization-based quasi-discrete method for the fracture of heterogeneous materials. Computational Mechanics 53:5, pages 909-923.
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Rainer Glüge. (2013) Generalized boundary conditions on representative volume elements and their use in determining the effective material properties. Computational Materials Science 79, pages 408-416.
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R. Glüge, M. Weber & A. Bertram. (2012) Comparison of spherical and cubical statistical volume elements with respect to convergence, anisotropy, and localization behavior. Computational Materials Science 63, pages 91-104.
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O. Lloberas-Valls, D.J. Rixen, A. Simone & L.J. Sluys. (2012) On micro-to-macro connections in domain decomposition multiscale methods. Computer Methods in Applied Mechanics and Engineering 225-228, pages 177-196.
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E.W.C. Coenen, V.G. Kouznetsova & M.G.D. Geers. (2012) Novel boundary conditions for strain localization analyses in microstructural volume elements. International Journal for Numerical Methods in Engineering 90:1, pages 1-21.
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