Small Scale Yielding at a Crack Perpendicular to the Interface Between Two Dissimilar Materials
(1992)- Abstract
- The elastic singular fields for a crack perpendicular to and with its tip at the interface between two isotropic elastic solids with different elastic moduli are given. The asymptotic crack tip fields for are obtained cases where either both materials yield perfectly plastically or one material remains elastic. By using the singular elastic field as a prescribed load, small scale yielding solutions are obtained. Results for a several full field ductile cases are obtained by finite element analyses. The case where the crack is in a brittle material and the case where the crack is in a ductile material are devoted special consideration. The asymptotic crack tip stress fields obtained at the finite element analyses verify the analytical... (More)
- The elastic singular fields for a crack perpendicular to and with its tip at the interface between two isotropic elastic solids with different elastic moduli are given. The asymptotic crack tip fields for are obtained cases where either both materials yield perfectly plastically or one material remains elastic. By using the singular elastic field as a prescribed load, small scale yielding solutions are obtained. Results for a several full field ductile cases are obtained by finite element analyses. The case where the crack is in a brittle material and the case where the crack is in a ductile material are devoted special consideration. The asymptotic crack tip stress fields obtained at the finite element analyses verify the analytical results. For a crack in the brittle material, high triaxial stresses develop near the interface ahead of the crack tip. The stress ahead of the crack tip and at the interface are evaluated within the framework of Q-factors. In the main body of the paper only hoop stress stresses and hydrostatic stresses are evaluated. The hoop stress is assumed to be of interest in elastic regions, where the fracture mode is cleavage. In plastic regions hydrostatic stress is considered for governing void nucleation and hydrostatic stress is considered for fgrowth of voids. Plastic zone size and crack tip opening displacement are given for various material combinations. (Less)
- Abstract (Swedish)
- The elastic singular fields for a crack perpendicular to and with its tip at the interface between two isotropic elastic solids with different elastic moduli are given. The asymptotic crack tip fields for are obtained cases where either both materials yield perfectly plastically or one material remains elastic. By using the singular elastic field as a prescribed load, small scale yielding solutions are obtained. Results for a several full field ductile cases are obtained by finite element analyses. The case where the crack is in a brittle material and the case where the crack is in a ductile material are devoted special consideration. The asymptotic crack tip stress fields obtained at the finite element analyses verify the analytical... (More)
- The elastic singular fields for a crack perpendicular to and with its tip at the interface between two isotropic elastic solids with different elastic moduli are given. The asymptotic crack tip fields for are obtained cases where either both materials yield perfectly plastically or one material remains elastic. By using the singular elastic field as a prescribed load, small scale yielding solutions are obtained. Results for a several full field ductile cases are obtained by finite element analyses. The case where the crack is in a brittle material and the case where the crack is in a ductile material are devoted special consideration. The asymptotic crack tip stress fields obtained at the finite element analyses verify the analytical results. For a crack in the brittle material, high triaxial stresses develop near the interface ahead of the crack tip. The stress ahead of the crack tip and at the interface are evaluated within the framework of Q-factors. In the main body of the paper only hoop stress stresses and hydrostatic stresses are evaluated. The hoop stress is assumed to be of interest in elastic regions, where the fracture mode is cleavage. In plastic regions hydrostatic stress is considered for governing void nucleation and hydrostatic stress is considered for fgrowth of voids. Plastic zone size and crack tip opening displacement are given for various material combinations. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/38f8b9fd-a6c1-49d4-a88f-d0f6b9e8dfe2
- author
- Ming, Y. H. ; Stahle, P. LU ; Shih, C. F. ; Ning, T. Z. and McMeeking, R. M.
- publishing date
- 1992
- type
- Book/Report
- publication status
- published
- subject
- publisher
- University of Southern California
- language
- Swedish
- LU publication?
- no
- additional info
- Report from University of California, Santa Barbara, USA
- id
- 38f8b9fd-a6c1-49d4-a88f-d0f6b9e8dfe2
- date added to LUP
- 2019-06-26 10:50:44
- date last changed
- 2020-03-13 11:10:43
@techreport{38f8b9fd-a6c1-49d4-a88f-d0f6b9e8dfe2,
abstract = {{The elastic singular fields for a crack perpendicular to and with its tip at the interface between two isotropic elastic solids with different elastic moduli are given. The asymptotic crack tip fields for are obtained cases where either both materials yield perfectly plastically or one material remains elastic. By using the singular elastic field as a prescribed load, small scale yielding solutions are obtained. Results for a several full field ductile cases are obtained by finite element analyses. The case where the crack is in a brittle material and the case where the crack is in a ductile material are devoted special consideration. The asymptotic crack tip stress fields obtained at the finite element analyses verify the analytical results. For a crack in the brittle material, high triaxial stresses develop near the interface ahead of the crack tip. The stress ahead of the crack tip and at the interface are evaluated within the framework of Q-factors. In the main body of the paper only hoop stress stresses and hydrostatic stresses are evaluated. The hoop stress is assumed to be of interest in elastic regions, where the fracture mode is cleavage. In plastic regions hydrostatic stress is considered for governing void nucleation and hydrostatic stress is considered for fgrowth of voids. Plastic zone size and crack tip opening displacement are given for various material combinations.}},
author = {{Ming, Y. H. and Stahle, P. and Shih, C. F. and Ning, T. Z. and McMeeking, R. M.}},
institution = {{University of Southern California}},
language = {{swe}},
title = {{Small Scale Yielding at a Crack Perpendicular to the Interface Between Two Dissimilar Materials}},
year = {{1992}},
}