Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials

Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Lakhal, L. [verfasserIn] Brunet, Y. [verfasserIn] Kanit, T. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds

Übergeordnetes Werk:	Enthalten in: European journal of mechanics / A - Paris : Elsevier, 1998, 80
Übergeordnetes Werk:	volume:80

DOI / URN:	10.1016/j.euromechsol.2019.103926

Katalog-ID:	ELV003544532

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650		4	\|a Radial distribution function
650		4	\|a Effective elasticity
650		4	\|a Simulated annealing
650		4	\|a Bounds
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allfields	10.1016/j.euromechsol.2019.103926 doi (DE-627)ELV003544532 (ELSEVIER)S0997-7538(19)30527-3 DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Lakhal, L. verfasserin aut Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones. Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds Brunet, Y. verfasserin aut Kanit, T. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 80 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:80 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 80
spelling	10.1016/j.euromechsol.2019.103926 doi (DE-627)ELV003544532 (ELSEVIER)S0997-7538(19)30527-3 DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Lakhal, L. verfasserin aut Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones. Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds Brunet, Y. verfasserin aut Kanit, T. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 80 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:80 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 80
allfields_unstemmed	10.1016/j.euromechsol.2019.103926 doi (DE-627)ELV003544532 (ELSEVIER)S0997-7538(19)30527-3 DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Lakhal, L. verfasserin aut Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones. Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds Brunet, Y. verfasserin aut Kanit, T. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 80 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:80 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 80
allfieldsGer	10.1016/j.euromechsol.2019.103926 doi (DE-627)ELV003544532 (ELSEVIER)S0997-7538(19)30527-3 DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Lakhal, L. verfasserin aut Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones. Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds Brunet, Y. verfasserin aut Kanit, T. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 80 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:80 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 80
allfieldsSound	10.1016/j.euromechsol.2019.103926 doi (DE-627)ELV003544532 (ELSEVIER)S0997-7538(19)30527-3 DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Lakhal, L. verfasserin aut Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials 2019 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones. Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds Brunet, Y. verfasserin aut Kanit, T. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 80 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:80 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 80
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author	Lakhal, L.
spellingShingle	Lakhal, L. ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Fiber–reinforced materials misc Radial distribution function misc Effective elasticity misc Simulated annealing misc Bounds Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials
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topic_title	530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials Fiber–reinforced materials Radial distribution function Effective elasticity Simulated annealing Bounds
topic	ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Fiber–reinforced materials misc Radial distribution function misc Effective elasticity misc Simulated annealing misc Bounds
topic_unstemmed	ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Fiber–reinforced materials misc Radial distribution function misc Effective elasticity misc Simulated annealing misc Bounds
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title	Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials
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title_full	Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials
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author_browse	Lakhal, L. Brunet, Y. Kanit, T.
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title_sort	numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials
title_auth	Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials
abstract	Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones.
abstractGer	Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones.
abstract_unstemmed	Throughout this work, the influence of microstructures of non-overlapping aligned fiber reinforced composites on macroscopic elastic properties has been quantified with numerical homogenization on FEM simulations. New bounds that frame bulk and shear moduli of any equilibrium system were established. The corresponding microstructures for lower and upper bounds were found to be respectively a Percus-Yevick distribution of fibers and specific configurations of packed fibers. The radial distribution function has proven to be the best second order correlation to describe these fiber spatial distributions that were built with simulated annealing. The new numerical bounds established in this paper are tighter than existing third order ones.
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title_short	Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials
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doi_str	10.1016/j.euromechsol.2019.103926
up_date	2024-07-06T19:58:52.480Z
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Numerical bounds for elastic properties of unidirectional non-overlapping fiber reinforced materials

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