On the micro-structure of surface effects and related instabilities

George N Frantziskonis, I. Vardoulakis

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Based on Mindlin's theory for material micro-structure interesting surface effects under conditions of equilibrium are studied in this paper. The governing field equations for uniaxial plane deformations are established; surface instability analysis shows non uniform deformations for a layer of specified distance from the surface. Experimental as well as fracture mechanics based considerations show that this surface-layer is extremely thin for metals while for brittle materials its magnitude is of the order of 1 cm. Material microstructure introduces a singular perturbation to the original Hill and Hutchinson-problem; here we introduce a single perturbation parameter and we obtain a 'dispersion' law for the surface buckling load. It is found that surface degradation and skin effects can be attributed to localized surface buckling instabilities. Experimental information on skin effects can provide an estimation of the internal material length.

Original languageEnglish (US)
Pages (from-to)21-34
Number of pages14
JournalEuropean Journal of Mechanics, A/Solids
Volume11
Issue number1
StatePublished - 1992

Fingerprint

microstructure
Microstructure
Skin effect
buckling
Buckling
perturbation
brittle materials
fracture mechanics
Brittleness
surface layers
Fracture mechanics
degradation
Metals
Degradation
metals

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

On the micro-structure of surface effects and related instabilities. / Frantziskonis, George N; Vardoulakis, I.

In: European Journal of Mechanics, A/Solids, Vol. 11, No. 1, 1992, p. 21-34.

Research output: Contribution to journalArticle

@article{4cdfb80dd25e4a9cbb61512b9b0c6dfd,
title = "On the micro-structure of surface effects and related instabilities",
abstract = "Based on Mindlin's theory for material micro-structure interesting surface effects under conditions of equilibrium are studied in this paper. The governing field equations for uniaxial plane deformations are established; surface instability analysis shows non uniform deformations for a layer of specified distance from the surface. Experimental as well as fracture mechanics based considerations show that this surface-layer is extremely thin for metals while for brittle materials its magnitude is of the order of 1 cm. Material microstructure introduces a singular perturbation to the original Hill and Hutchinson-problem; here we introduce a single perturbation parameter and we obtain a 'dispersion' law for the surface buckling load. It is found that surface degradation and skin effects can be attributed to localized surface buckling instabilities. Experimental information on skin effects can provide an estimation of the internal material length.",
author = "Frantziskonis, {George N} and I. Vardoulakis",
year = "1992",
language = "English (US)",
volume = "11",
pages = "21--34",
journal = "European Journal of Mechanics, A/Solids",
issn = "0997-7538",
publisher = "Elsevier BV",
number = "1",

}

TY - JOUR

T1 - On the micro-structure of surface effects and related instabilities

AU - Frantziskonis, George N

AU - Vardoulakis, I.

PY - 1992

Y1 - 1992

N2 - Based on Mindlin's theory for material micro-structure interesting surface effects under conditions of equilibrium are studied in this paper. The governing field equations for uniaxial plane deformations are established; surface instability analysis shows non uniform deformations for a layer of specified distance from the surface. Experimental as well as fracture mechanics based considerations show that this surface-layer is extremely thin for metals while for brittle materials its magnitude is of the order of 1 cm. Material microstructure introduces a singular perturbation to the original Hill and Hutchinson-problem; here we introduce a single perturbation parameter and we obtain a 'dispersion' law for the surface buckling load. It is found that surface degradation and skin effects can be attributed to localized surface buckling instabilities. Experimental information on skin effects can provide an estimation of the internal material length.

AB - Based on Mindlin's theory for material micro-structure interesting surface effects under conditions of equilibrium are studied in this paper. The governing field equations for uniaxial plane deformations are established; surface instability analysis shows non uniform deformations for a layer of specified distance from the surface. Experimental as well as fracture mechanics based considerations show that this surface-layer is extremely thin for metals while for brittle materials its magnitude is of the order of 1 cm. Material microstructure introduces a singular perturbation to the original Hill and Hutchinson-problem; here we introduce a single perturbation parameter and we obtain a 'dispersion' law for the surface buckling load. It is found that surface degradation and skin effects can be attributed to localized surface buckling instabilities. Experimental information on skin effects can provide an estimation of the internal material length.

UR - http://www.scopus.com/inward/record.url?scp=0026679167&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026679167&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 21

EP - 34

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

SN - 0997-7538

IS - 1

ER -