Accession Number : AD0649265

Title :   BOUNDARY LAYERS IN STRAIN-GRADIENT THEORY OF LINEAR ELASTICITY.

Descriptive Note : Technical rept.,

Corporate Author : WATERVLIET ARSENAL N Y BENET LABS

Personal Author(s) : Sadowsky,Michael A. ; Pu,San L.

Report Date : FEB 1967

Pagination or Media Count : 73

Abstract : In a previous technical report based on couple stress theory the presence of an elastic boundary layer of minute thickness was established in which the states of stress and displacement differ essentially and significantly from classical elasticity solutions. The boundary layer effect becomes dominant for microbodies in composites. Based on strain-gradient theory a reinvestigation of the phenomena in elastic boundary layers is presented. Due to the fact that no reliable information on micromoduli is available, a mathematical parameter m is introduced which makes it convenient to compare the strain-gradient results (0<m< infinity) with the couple-stress results (m = 0) and classical results (m = 2). It is found that the results in the strain-gradient theory may deviate from the classical elasticity results in either direction depending on whether m<2 or m>2. The couple stress theory, however, leads to over-corrected results which may be regarded as limits of strain-gradient results on the side of m<2. (Author)

Descriptors :   (*ELASTIC PROPERTIES, STRAIN(MECHANICS)), STRESSES, LINEAR SYSTEMS, BOUNDARY LAYER, SHEAR STRESSES

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE