Microstructural design and additive manufacturing and characterization of 3D orthogonal short carbon fiber/acrylonitrile-butadiene-styrene preform and composite, Composites Science and Technology, vol.126, pp.139-148, 2016. ,
DOI : 10.1016/j.compscitech.2016.02.021
On design of multi-functional microstructural materials, Journal of Materials Science, vol.5, issue.656, pp.51-66, 2013. ,
DOI : 10.1002/lpor.201000014
Topology optimization of multiscale elastoviscoplastic structures, International Journal for Numerical Methods in Engineering, vol.2, issue.2, pp.430-453, 2016. ,
DOI : 10.1088/0965-0393/2/3A/011
Optimization of Composite Fracture Properties: Method, Validation, and Applications, Journal of Applied Mechanics, vol.83, issue.7, pp.71-77, 2016. ,
DOI : 10.1115/1.4033381
URL : http://dspace.mit.edu/bitstream/1721.1/110212/1/Buehler_Optimization%20of%20composite.pdf
Optimization of Carbon Black Polymer Composite Microstructure for Rupture Resistance, Journal of Applied Mechanics, vol.84, issue.2, pp.21-26, 2016. ,
DOI : 10.1115/1.4035050
Topology optimization for maximizing the fracture resistance of quasi-brittle composites, Computer Methods in Applied Mechanics and Engineering, vol.332, pp.234-254, 2018. ,
DOI : 10.1016/j.cma.2017.12.021
URL : https://hal.archives-ouvertes.fr/hal-01674145
The influence of the interphase and associated interfaces on the deflection of matrix cracks in ceramic matrix composites, Composites A, vol.31, pp.1179-1190, 2000. ,
Model studies of fibre breakage and debonding in a metal reinforced by short fibres, Journal of the Mechanics and Physics of Solids, vol.41, issue.8, pp.1309-1326, 1993. ,
DOI : 10.1016/0022-5096(93)90081-P
Initiation and propagation of complex 3D networks of cracks in heterogeneous quasi-brittle materials: Direct comparison between in situ testing-microCT experiments and phase field simulations, Journal of the Mechanics and Physics of Solids, vol.95, pp.320-350, 2016. ,
DOI : 10.1016/j.jmps.2016.06.004
URL : https://hal.archives-ouvertes.fr/hal-01331213
Exploiting nacre-inspired crack deflection mechanisms in CFRP via micro-structural design, Composites Science and Technology, vol.153, 2017. ,
DOI : 10.1016/j.compscitech.2017.08.023
A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.8, issue.1, pp.131-150, 1999. ,
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
URL : https://hal.archives-ouvertes.fr/hal-01004829
Extended finite element method for three-dimensional crack modelling, International Journal for Numerical Methods in Engineering, vol.15, issue.11, pp.1549-1570, 2000. ,
DOI : 10.1016/0020-7683(79)90062-3
URL : https://hal.archives-ouvertes.fr/hal-01006859
Damage growth modeling using the Thick Level Set (TLS) approach: Efficient discretization for quasi-static loadings, Computer Methods in Applied Mechanics and Engineering, vol.233, issue.236, pp.11-27, 2012. ,
DOI : 10.1016/j.cma.2012.02.020
URL : https://hal.archives-ouvertes.fr/hal-01006715
Comparison of a phase-field model and of a thick level set model for brittle and quasi-brittle fracture, International Journal for Numerical Methods in Engineering, vol.339, issue.1, pp.114-143, 2015. ,
DOI : 10.1016/j.crme.2010.10.010
Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, pp.1319-1342, 1998. ,
DOI : 10.1016/S0022-5096(98)00034-9
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.45-48, pp.45-482765, 2010. ,
DOI : 10.1016/j.cma.2010.04.011
A continuum phase field model for fracture, Engineering Fracture Mechanics, vol.77, issue.18, pp.3625-3634, 2010. ,
DOI : 10.1016/j.engfracmech.2010.08.009
The Variational Approach to Fracture, Journal of Elasticity, vol.125, issue.8, pp.5-148, 2008. ,
DOI : 10.1016/S1874-5717(06)80009-5
URL : https://hal.archives-ouvertes.fr/hal-00551079
Approche variationnelle de l'endommagement : I. Les concepts fondamentaux, Comptes Rendus M??canique, vol.338, issue.4, pp.191-198, 2010. ,
DOI : 10.1016/j.crme.2010.03.009
URL : https://hal.archives-ouvertes.fr/hal-00490518
Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids, vol.48, issue.4, pp.797-826, 2000. ,
DOI : 10.1016/S0022-5096(99)00028-9
Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989. ,
DOI : 10.1109/TPAMI.1984.4767596
URL : https://dash.harvard.edu/bitstream/handle/1/3637121/Mumford_OptimalApproxPiece.pdf?sequence=1
Approximation of functional depending on jumps by elliptic functional via t-convergence, Communications on Pure and Applied Mathematics, vol.17, issue.8, pp.999-1036, 1990. ,
DOI : 10.1080/01621459.1987.10478393
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations, International Journal for Numerical Methods in Engineering, vol.55, issue.10, pp.1273-1311, 2010. ,
DOI : 10.1007/978-94-017-1957-5
A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography, Computer Methods in Applied Mechanics and Engineering, vol.312, pp.567-595, 2016. ,
DOI : 10.1016/j.cma.2015.10.007
URL : https://hal.archives-ouvertes.fr/hal-01213943
Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering, vol.71, issue.2, pp.197-224, 1988. ,
DOI : 10.1016/0045-7825(88)90086-2
Topology Optimization: Theory, Methods and Applications, 2003. ,
A polytree-based adaptive polygonal finite element method for topology optimization, International Journal for Numerical Methods in Engineering, vol.44, issue.4, pp.972-1000, 2017. ,
DOI : 10.1007/s00158-011-0650-y
A polytree-based adaptive polygonal finite element method for multi-material topology optimization, Computer Methods in Applied Mechanics and Engineering, vol.332, 2018. ,
DOI : 10.1016/j.cma.2017.07.035
A simple evolutionary procedure for structural optimization, Computers & Structures, vol.49, issue.5, pp.885-896, 1993. ,
DOI : 10.1016/0045-7949(93)90035-C
Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method, Finite Elements in Analysis and Design, vol.43, issue.14, pp.1039-1049, 2007. ,
DOI : 10.1016/j.finel.2007.06.006
Structural Boundary Design via Level Set and Immersed Interface Methods, Journal of Computational Physics, vol.163, issue.2, pp.489-528, 2000. ,
DOI : 10.1006/jcph.2000.6581
URL : http://www.math.berkeley.edu/~sethian/Publications/../Papers/sethian.optimal_design.ps.gz
A level set method for structural topology optimization, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.1-2, pp.227-246, 2003. ,
DOI : 10.1016/S0045-7825(02)00559-5
Structural optimization using sensitivity analysis and a level-set method, Journal of Computational Physics, vol.194, issue.1, pp.363-393, 2004. ,
DOI : 10.1016/j.jcp.2003.09.032
Evolutionary topology optimization of elastoplastic structures. Structural and Multidisciplinary Optimization 2017, pp.569-581 ,
DOI : 10.1007/s00158-016-1523-1
Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review, Archives of Computational Methods in Engineering, vol.69, issue.2, pp.10-1007, 2017. ,
DOI : 10.1016/j.commatsci.2012.12.006
Concurrent topology optimization design of material and structure within <mml:math altimg="si25.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msup><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>FE</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> nonlinear multiscale analysis framework, Computer Methods in Applied Mechanics and Engineering, vol.278, pp.524-542, 2014. ,
DOI : 10.1016/j.cma.2014.05.022
Multiscale structural topology optimization with an approximate constitutive model for local material microstructure, Computer Methods in Applied Mechanics and Engineering, vol.286, pp.147-167, 2015. ,
DOI : 10.1016/j.cma.2014.12.018
Material interface effects on the topology optimziation of multi-phase structures using a level set method, Structural and Multidisciplinary Optimization, vol.doi, pp.10-1007, 2014. ,
DOI : 10.1007/s00158-014-1074-2
Level set topology optimization of problems with sliding contact interfaces, Structural and Multidisciplinary Optimization, vol.82, issue.5, pp.1107-1119, 2015. ,
DOI : 10.1002/nme.2777
Multi-material topology optimization considering interface behavior via XFEM and level set method, Computer Methods in Applied Mechanics and Engineering, vol.308, pp.113-133, 2016. ,
DOI : 10.1016/j.cma.2016.05.016
Level set topology optimization of structural problems with interface cohesion, International Journal for Numerical Methods in Engineering, vol.132, issue.11 ,
DOI : 10.1061/(ASCE)0733-9399(2006)132:11(1215)
URL : https://doi.org/10.1002/nme.5540
Topology optimization of continuum structures with local stress constraints, International Journal for Numerical Methods in Engineering, vol.10, issue.8, pp.1453-1478, 1998. ,
DOI : 10.1007/978-94-015-7862-2
URL : http://orbit.dtu.dk/en/publications/topology-optimization-of-continuum-structures-with-local-stress-constraints(47c96145-46b9-4d6f-8e60-f97dccd77541).html
Stress-related topology optimization via level set approach, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.47-48, pp.47-483439, 2011. ,
DOI : 10.1016/j.cma.2011.08.016
A level set solution to the stress-based structural shape and topology optimization, Computers & Structures, vol.90, issue.91, pp.90-9155, 2012. ,
DOI : 10.1016/j.compstruc.2011.10.009
Topology optimization for minimum weight with compliance and stress constraints. Structural and Multidisciplinary Optimization 2012, pp.369-384 ,
DOI : 10.1007/s00158-012-0759-7
An enhanced aggregation method for topology optimization with local stress constraints, Computer Methods in Applied Mechanics and Engineering, vol.254, pp.31-41, 2013. ,
DOI : 10.1016/j.cma.2012.10.019
Stress constrained shape and topology optimization with fixed mesh: A B-spline finite cell method combined with level set function, Computer Methods in Applied Mechanics and Engineering, vol.278, pp.361-387, 2014. ,
DOI : 10.1016/j.cma.2014.06.007
Stress constrained topology optimization with free-form design domains, Computer Methods in Applied Mechanics and Engineering, vol.289, pp.267-290, 2015. ,
DOI : 10.1016/j.cma.2015.02.012
Topological optimization of biomimetic sandwich structures with hybrid core and CFRP face sheets, Composites Science and Technology, vol.142, pp.79-90, 2017. ,
DOI : 10.1016/j.compscitech.2017.01.029
Fracture resistance via topology optimization, Structural and Multidisciplinary Optimization, vol.35, issue.2, pp.263-271, 2008. ,
DOI : 10.1080/01630563.1980.10120631
Reinforcement layout design for concrete structures based on continuum damage and truss topology optimization. Structural and Multidisciplinary Optimization 2012, pp.157-174 ,
DOI : 10.1007/s00158-012-0817-1
URL : http://orbit.dtu.dk/en/publications/reinforcement-layout-design-for-concrete-structures-based-on-continuum-damage-and-truss-topology-optimization(ea90a0fb-d546-4767-97bc-e24a9a0c01ae).html
A topology optimization procedure for reinforced concrete structures, Computers & Structures, vol.114, issue.115, pp.46-58, 2013. ,
DOI : 10.1016/j.compstruc.2012.10.011
Topology optimization of fail-safe structures using a simplified local damage model. Structural and Multidisciplinary Optimization 2013, pp.657-666 ,
DOI : 10.1007/s00158-013-1001-y
URL : http://orbit.dtu.dk/en/publications/topology-optimization-of-failsafe-structures-using-a-simplified-local-damage-model(9658b269-613d-49ed-91b0-ab0936dc14fe).html
Failure mitigation in optimal topology design using a coupled nonlinear continuum damage model, Computer Methods in Applied Mechanics and Engineering, vol.268, pp.614-631, 2014. ,
DOI : 10.1016/j.cma.2013.10.022
Topology optimization considering fracture mechanics behaviors at specified locations, Structural and Multidisciplinary Optimization, vol.49, issue.5, pp.1-18, 2016. ,
DOI : 10.1016/0045-7949(93)90035-C
A phase-field model for cohesive fracture, International Journal for Numerical Methods in Engineering, vol.1, issue.220, pp.43-62, 2013. ,
DOI : 10.1088/0965-0393/1/2/001
URL : http://eprints.gla.ac.uk/87662/1/Rene%20De%20Borst%20-%20Paper.pdf
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials, Computational Mechanics, vol.45, issue.1, pp.393-401, 2009. ,
DOI : 10.1080/08905459708945415
Concurrent topological design of composite structures and the underlying multi-phase materials, Computers & Structures, vol.179, issue.1, pp.1-14, 2017. ,
DOI : 10.1016/j.compstruc.2016.10.006
Adaptive topology optimization of elastoplastic structures, Structural Optimization, vol.10, issue.2, pp.81-91, 1998. ,
DOI : 10.1007/978-94-010-9577-8_33
Topology and shape optimization for elastoplastic structural response, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.15-17, pp.15-172135, 2001. ,
DOI : 10.1016/S0045-7825(00)00227-9
Topology optimization of nonlinear structures under displacement loading, Engineering Structures, vol.30, issue.7, pp.2057-2068, 2008. ,
DOI : 10.1016/j.engstruct.2008.01.009
Recent Advances on Topology Optimization of Multiscale Nonlinear Structures, Archives of Computational Methods in Engineering, vol.51, issue.1, p.227249, 2017. ,
DOI : 10.1016/j.matdes.2013.05.014
A 99 line topology optimization code written in Matlab, Structural and Multidisciplinary Optimization, vol.21, issue.2, pp.120-127, 2001. ,
DOI : 10.1007/s001580050176
URL : http://orbit.dtu.dk/en/publications/a-99-line-topology-optimization-code-written-in-matlab(b0794468-93a9-4cca-87b3-b4224938859a).html
Topology Optimization of Continuum Structures: Methods and Applications ,
DOI : 10.1002/9780470689486
A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure, Engineering Fracture Mechanics, vol.139, pp.18-39, 2015. ,
DOI : 10.1016/j.engfracmech.2015.03.045
URL : https://hal.archives-ouvertes.fr/hal-01140963