Mode II Fracture of an Elastic-Plastic Sandwich Layer
File(s)
Accepted version
Author(s)
Martinez-Paneda, Emilio
Ivan Cuesta, I
Fleck, Norman A
Type
Journal Article
Abstract
The shear strength of a pre-cracked sandwich layer is predicted, assuming that the layer is linear elastic or elastic-plastic, with yielding characterized by either J2 plasticity theory or by a strip-yield model. The substrates are elastic and of dissimilar modulus to that of the layer. Two geometries are analysed: (i) a semi-infinite crack in a sandwich layer, subjected to a remote mode II K-field and (ii) a centre-cracked sandwich plate of finite width under remote shear stress. For the semi-infinite crack, the near tip stress field is determined as a function of elastic mismatch, and crack tip plasticity is either prevented (the elastic case) or is duly accounted for (the elastic-plastic case). Analytical and numerical solutions are then obtained for the centre-cracked sandwich plate of finite width. First, a mode II K-calibration is obtained for a finite crack in the elastic sandwich layer. Second, the analysis is extended to account for crack tip plasticity via a mode II strip-yield model of finite strength and of finite toughness. The analytical predictions are verified by finite element simulations and a failure map is constructed in terms of specimen geometry and crack length.
Date Issued
2020-03-01
Date Acceptance
2019-09-07
Citation
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2020, 87 (3)
ISSN
0021-8936
Publisher
ASME
Journal / Book Title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume
87
Issue
3
Copyright Statement
© 2019 by ASME. This is the accepted version of the following article: Martínez-Pañeda, E., Cuesta, I. I., and Fleck, N. A. (November 20, 2019). "Mode II Fracture of an Elastic-Plastic Sandwich Layer." ASME. J. Appl. Mech. March 2020; 87(3): 031001, which has been published in final form at https://doi.org/10.1115/1.4044898
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000525406900004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Mechanics
mode II fracture
adhesive joints
finite element analysis
interface toughness
strip-yield model
constitutive modeling of materials
flow and fracture
mechanical properties of materials
micromechanics
ADHESIVELY-BONDED STRUCTURES
DUCTILE-BRITTLE TRANSITIONS
CRACK LENGTH
TOUGHNESS
INTERFACE
JOINTS
STRAIN
SHEAR
Publication Status
Published
Article Number
ARTN 031001
Date Publish Online
2019-11-20