Path-independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics

Nishioka, Toshihisa; Atluri, Satya N.

doi:10.1016/0013-7944(83)90091-7

Cited by 213 publications

(60 citation statements)

References 19 publications

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“…This difficulty is circumvented by using finite domain integrals which were introduced by Kishimoto, Aoki and Sata [15,16], Atluri [17], and Nishioka and Atluri [18,19] that uses the concept of virtual crack extension methods. The procedure that converts equation (3) into a domain integral form more suitable for finite element analysis of 3-D crack problems is summarized in the next section.…”

Section: Integral Expression For Dynamic Energy Release Rate In Lineamentioning

confidence: 99%

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Automated dynamic fracture procedure for explicit time integration brick finite elements

Aminjikarai¹,

Tabiei

2007

The International Journal of Multiphysics

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Section: Integral Expression For Dynamic Energy Release Rate In Lineamentioning

confidence: 99%

“…Then, the total displacement gradient at the current time step is obtained using the relation: (18) where n u ip i,1 , n-1 u ip i,1 , are the displacement gradients at the current time step and previous time step respectively.…”

Section: Velocity Gradientsmentioning

confidence: 99%

Automated dynamic fracture procedure for explicit time integration brick finite elements

Aminjikarai¹,

Tabiei

2007

The International Journal of Multiphysics

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“…Similar to the J-Integral used for computing elasto-static fracture in mode I, path integrals are developed for elasto-dynamic crack propagation. This also involves the domain integral arising out of the kinetic energy term (Atluri, 1982;and Nishioka and Atluri, 1983). In the present work /, given by Kishimoto, Aoki and Sakata (1980) is adopted which is defined as…”

Section: Numerical Simulationmentioning

confidence: 99%

Proceedings of a Symposium on the Dynamic Deformation and Failure of Materials (Journal of the Mechanics and Physics of Solids. Volume 46, Number 10)

Ravichandran¹

2000

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reporting original research on the mechanics of solids. Emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.© 1998 Elsevier Science Ltd. All rights reserved.This j ournal and the individual contributions contained in it are protected under copyright by Elsevier Science Ltd, and the following terms and conditions apply to their use: Photocopying Single photocopies of single articles may be made for personal use as allowed by national copyright laws. Permission of the publisher and payment of a fee is required for all other photocopying, including multiple or systematic copying, copying for advertising or promotional purposes, resale, and all forms of document delivery. Special rates are available for educational institutions that wish to make photocopies for non-profit educational classroom use. Derivative works Subscribers may reproduce tables of contents or prepare lists of articles including abstracts for internal circulation within their institutions. Permission of the publisher is required for resale or distribution outside the institution. Permission of the publisher is required for all other derivative works, including compilations and translations.Electronic storage or Usage Permission of the publisher is required to store or use electronically any material contained in this journal, including any article or part of an article. Contact the publisher at the address indicated. Except as outlined above, no part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior written permission of the publisher. Address permissions requests to: Elsevier Rights & Permissions Department, at the mail, fax and e-mail addresses noted above. NoticeNo responsibility is assumed by the publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. Because of rapid advances in the med...

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“…The SI F can be obtained from the general path independent dynamic J integral, J', derived by Nishioka and Atluri [17](see also [18]). For a mode I stationary crack (as in our case), the SI F of the crack in the plane of symmetry, K 1 (t)\.P, was calculated, as in this section purely plane strain conditions exist, as: (3) where the dynamic J integral was computed along integration paths contained in the symmetry plane.…”

Section: Numerlcal Simulationmentioning

confidence: 99%

Numerical simulation of dynamic TPB fracture test in a modified Hopkinson bar

Loya

Fernández-Sáez

2003

J. Phys. IV France

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Abst ract. Dynamic three point bending fracture tests performed in a modified Hopkinson Bar are used to obtain material fracture properties (such as the fracture-initiation toughness) at high strain rates. This work presents a three-dimensional munerical analysis of the aforementioned tests, performed by the Finite Element Method, implemented in the commercial code ABAQUS. The relationship between the Stres.-; Intensity Factor and the Crack Mouth Opening Displacement was examined and compared with the bidimensional one. The results indicate that the use of 2D plane strain solutions can tmderestimate the fracture properties. INTRODU CTIONIntegrity of mechanical and structural components subjected to dynamic loading requires to know the material fracture behaviour at high strain rates. Considering mode I, several dynamic fracture parameters may be defined in relation to the crack propagation regime: the dynamic fracture-initiation toughness, K 1 d , represents the value of the Stress Intensity Factor, SIF, at which a crack starts to propagate. Other dynamic fracture parameters are KID (dynamic fracture propagation toughness) and K 1A (crack arrest toughness) . These three material fracture parameters are used in design but the first is of special significance because it rates the effective propagation of a crack within the structural element subjected to impulsive load.In contrast to the determination of static fracture toughness, K1c, the methodology for dynamic fracture initiation toughness, Kid, is not yet standardized. The instrumented Charpy test has been widely used to evaluate the dynamic fracture properties of materials, but the maximum loading rate (Stress Intensity Factor loading rate, K 1 ) achieved during the test is about K 1 = 10 5 M Pa,jmf s. Descriptions have been published [1 , 2, 3, 4] of special arrangements of the Split Hopkinson PressureBar (SH PB) for dynamic bending tests at higher strain rates. This Hopkinson tests permit higher strain rates than those reached by instrumented Charpy bnpact tests. The system consists of a striker bar (called projectile or impactor), an inpu t pressure bar with a modified shape edge, a supporting device and the recording equipment. The cracked specimen is placed between the input bar and the supporting device and is loaded to fracture by means of a concentrated transverse force applied at its midspan. The projectile, moving at velocity Vo, strikes the input bar, generating a longitudinal strain compressive pulse, c:;(t) , that propagates along the bar. This pulse can be recorded by strain gages on its outer surface. Once the pulse reaches the right edge of the bar, part of its energy is directly transmitted to the specimen and to the supporting device, while t he remaining energy is reflected back to the input bar, but now, as a tensile pulse, C:r(t). The reflected pulse is recorded by the strain gages. Assuming the theory of onedimensional elastic wave propagation, the load exerted on the specimen, P;(t) , and t he displacement of the edge of the bar initia...

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Path-independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics

Cited by 213 publications

References 19 publications

Automated dynamic fracture procedure for explicit time integration brick finite elements

Automated dynamic fracture procedure for explicit time integration brick finite elements

Proceedings of a Symposium on the Dynamic Deformation and Failure of Materials (Journal of the Mechanics and Physics of Solids. Volume 46, Number 10)

Numerical simulation of dynamic TPB fracture test in a modified Hopkinson bar

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