On bounds of the effective behavior of particulate composites with imperfect interface
Particulate composites are considered here as multiphase composite in which the interfaces are imperfect. When the interface mechanical properties are those of a linear elastic material, the minimum of potential and complementary energy is used in order to obtain bounds of effective elastic modulus...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.237/ |
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| _version_ | 1825205966070611968 |
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| author | Stolz, Claude |
| author_facet | Stolz, Claude |
| author_sort | Stolz, Claude |
| collection | DOAJ |
| description | Particulate composites are considered here as multiphase composite in which the interfaces are imperfect. When the interface mechanical properties are those of a linear elastic material, the minimum of potential and complementary energy is used in order to obtain bounds of effective elastic modulus of the composite. Test displacements or stress fields are build and characterized using Green’s functions of a comparison homogeneous body, polarization fields and extension of the classical Lippmann–Schwinger equations. Then when spatial distribution of phases are known, in particular for isotropic distribution of phases or patterns, a generalization of Hashin–Shtrikman principle is obtained and lower and upper bounds are proposed. |
| format | Article |
| id | doaj-art-e4d626baab464dca802dd1e7351f2731 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-e4d626baab464dca802dd1e7351f27312025-02-07T13:48:46ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342024-03-01352G1395410.5802/crmeca.23710.5802/crmeca.237On bounds of the effective behavior of particulate composites with imperfect interfaceStolz, Claude0IMSIA- CNRS-UMR 9219Particulate composites are considered here as multiphase composite in which the interfaces are imperfect. When the interface mechanical properties are those of a linear elastic material, the minimum of potential and complementary energy is used in order to obtain bounds of effective elastic modulus of the composite. Test displacements or stress fields are build and characterized using Green’s functions of a comparison homogeneous body, polarization fields and extension of the classical Lippmann–Schwinger equations. Then when spatial distribution of phases are known, in particular for isotropic distribution of phases or patterns, a generalization of Hashin–Shtrikman principle is obtained and lower and upper bounds are proposed.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.237/CompositesImperfect interfacesBounding |
| spellingShingle | Stolz, Claude On bounds of the effective behavior of particulate composites with imperfect interface Comptes Rendus. Mécanique Composites Imperfect interfaces Bounding |
| title | On bounds of the effective behavior of particulate composites with imperfect interface |
| title_full | On bounds of the effective behavior of particulate composites with imperfect interface |
| title_fullStr | On bounds of the effective behavior of particulate composites with imperfect interface |
| title_full_unstemmed | On bounds of the effective behavior of particulate composites with imperfect interface |
| title_short | On bounds of the effective behavior of particulate composites with imperfect interface |
| title_sort | on bounds of the effective behavior of particulate composites with imperfect interface |
| topic | Composites Imperfect interfaces Bounding |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.237/ |
| work_keys_str_mv | AT stolzclaude onboundsoftheeffectivebehaviorofparticulatecompositeswithimperfectinterface |