contributor author | Hsueh, Chun-Jen | |
contributor author | Bhattacharya, Kaushik | |
date accessioned | 2017-11-25T07:20:48Z | |
date available | 2017-11-25T07:20:48Z | |
date copyright | 2016/08/22 | |
date issued | 2016 | |
identifier issn | 0021-8936 | |
identifier other | jam_083_10_101012.pdf | |
identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4236673 | |
description abstract | The J-integral that determines the driving force on a crack tip is a central concept of fracture mechanics. It is particularly useful since it is path independent in homogeneous materials. However, most materials are heterogeneous at a microscopic scale, and the J-integral is not necessarily path independent in heterogeneous media. In this paper, we prove the existence of an effective J-integral in heterogeneous media, show that it can be computed from the knowledge of the macroscopic or homogenized displacement fields and that it is path independent in macroscopically homogeneous media as long as the contours are large compared to the length scale of the heterogeneities. This result justifies the common engineering use of the J-integral. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Homogenization and Path Independence of the J-Integral in Heterogeneous Materials | |
type | Journal Paper | |
journal volume | 83 | |
journal issue | 10 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.4034294 | |
journal fristpage | 101012 | |
journal lastpage | 101012-3 | |
tree | Journal of Applied Mechanics:;2016:;volume( 083 ):;issue: 010 | |
contenttype | Fulltext | |