A relative gradient theory for layered materials

Muhlhaus, HB and Hornby, P (1998) A relative gradient theory for layered materials. Journal De Physique Iv, 8 P8: 269-276. doi:10.1051/jp4:1998833

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Author Muhlhaus, HB
Hornby, P
Title A relative gradient theory for layered materials
Journal name Journal De Physique Iv   Check publisher's open access policy
ISSN 1155-4339
Publication date 1998-01-01
Sub-type Article (original research)
DOI 10.1051/jp4:1998833
Open Access Status File (Publisher version)
Volume 8
Issue P8
Start page 269
End page 276
Total pages 8
Language eng
Abstract It is possible to remedy certain difficulties with the description of short wave length phenomena and interfacial slip in standard models of a laminated material by considering the bending stiffness of the layers. If the couple or moment stresses are assumed to be proportional to the relative deformation gradient, then the bending effect disappears for vanishing interface slip, and the model correctly reduces to an isotropic standard continuum. In earlier Cosserat-type models this was not the case. Laminated materials of the kind considered here occur naturally as layered rock, or at a different scale, in synthetic layered materials and composites. Similarities to the situation in regular dislocation structures with couple stresses, also make these ideas relevant to single slip in crystalline materials. Application of the theory to a one-dimensional model for layered beams demonstrates agreement with exact results at the extremes of zero and infinite interface stiffness. Moreover, comparison with finite element calculations confirm the accuracy of the prediction for intermediate interfacial stiffness.
Keyword Physics, Multidisciplinary
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Earth Systems Science Computational Centre Publications
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Citation counts: TR Web of Science Citation Count  Cited 4 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 20:49:55 EST