Finite deformation of a random array of rigid spheres in an elastic matrix at high concentration

We consider some modifications to the linear elastic deformation of an array of rigid spheres in an elastic medium to include an affine but finite displacement of the sphere, up to but not including elastic contact stresses between them. The subsequent and constitutive problem involves the load tran...

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Veröffentlicht in:Physics of fluids (1994) 2021-11, Vol.33 (11), Article 113314
Hauptverfasser: Phan-Thien (Phan Thiên Nhân), N., Kim, S.
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider some modifications to the linear elastic deformation of an array of rigid spheres in an elastic medium to include an affine but finite displacement of the sphere, up to but not including elastic contact stresses between them. The subsequent and constitutive problem involves the load transfer problems between the spheres and illustrates the linkages between the microstructures and the macro-finite deformation stress incurred at the macro-level. The results represent a new class of finite deformation brought about by an array of rigid spheres in an otherwise perfectly elastic matrix.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0070305