Crack propagation due to brittle and ductile failures in microporous thermoelastoviscoplastic functionally graded materials R.C. Batra * , B.M. Love Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, United States Received 27 July 2004; received in revised form 21 September 2004; accepted 5 November 2004 Available online 24 March 2005 R.C. Batra dedicates this work to Professor YiLong Bai on his 65th birthday Abstract Plane strain transient finite thermomechanical deformations of heat-conducting functionally gradient materials com- prised of tungsten and nickel–iron matrix are analyzed to delineate brittle/ductile failures by the nodal release tech- nique. Each material is modeled as strain-hardening, strain-rate-hardening and thermally-softening. Effective properties are derived by the rule of mixtures. At nominal strain-rate of 2000 s 1 brittle crack speed approaches Ray- leighÕs wave speed in the tungsten-plate, the nickel–iron-plate shatters at strain-rates above 1130 s 1 , and the composite plate does not shatter. The maximum speed of a ductile crack in tungsten and nickel–iron is about 1.5 km/s, and that in the composite is about 0.14 km/s. Ó 2005 Elsevier Ltd. All rights reserved. Keywords: Node release technique; Crack speed; Finite element method; Shear bands; Transient finite plastic deformations 1. Introduction Modeling crack propagation during the solution of a transient problem by the finite element method (FEM) is very challenging since the crack initiation point and its path are to be determined as a part of the solution of the problem. Three strategies often used to analyze fracture are: (i) introducing cohesive elements along inter-element boundaries that are weak in shear and tension but very strong in compression; 0013-7944/$ - see front matter Ó 2005 Elsevier Ltd. All rights reserved. doi:10.1016/j.engfracmech.2004.11.010 * Corresponding author. Tel.: +1 540 231 6051; fax: +1 540 231 4574. E-mail addresses: [email protected] (R.C. Batra), [email protected] (B.M. Love). Engineering Fracture Mechanics 72 (2005) 1954–1979 www.elsevier.com/locate/engfracmech
Crack propagation due to brittle and ductile failures in microporous thermoelastoviscoplastic functionally graded materials
May 19, 2023
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Related Documents
