Internal stresses and strains in coherent multilayers

Journal Article · Wed Jul 01 00:00:00 EDT 1998 · Acta Materialia

DOI:https://doi.org/10.1016/S1359-6454(97)00244-9· OSTI ID:644300

Shoykhet, B ^[1]; Grinfeld, M A ^[1]; Hazzledine, P M ^[1]

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1. Wright Lab., Wright-Patterson AFB, OH (United States). Materials Directorate

Formulae are given for the strain and stress tensors in a periodic multilayer which may contain any number of layers, each with a different lattice parameter, different elastic constants and different thickness. The layers are assumed to be parallel sided, elastically isotropic and to have a thickness much smaller than the dimensions in the plane of the layers. The results are applied to metal and semiconductor heterostructures which contain equi-biaxial tensions and compressions and to lamellar Ti-Al in which there are additional in-plane shears. A preliminary discussion is given of the loss of coherency in a multilayer with layers of different thicknesses.

• OSTI ID: 644300
• Report Number(s): CONF-9704224--
• Journal Information: Acta Materialia, Journal Name: Acta Materialia Journal Issue: 11 Vol. 46; ISSN 1359-6454; ISSN ACMAFD
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
COMPOSITE MATERIALS
LAMELLAE
LAYERS
MATHEMATICAL MODELS
METALS
SEMICONDUCTOR MATERIALS
STRAINS
STRESSES