Analysis of dynamic growth of a tensile crack in an elastic-plastic material

Lam, Poh-Sang; Freund, L. B.

doi:10.1016/0022-5096(85)90028-6

Cited by 63 publications

(35 citation statements)

References 6 publications

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“…From a detailed investigation of the near-tip fields, they concluded that increase of isotropic strain hardening strongly opposes the effect of material inertia during rapid crack growth. In particular, it was observed in the above paper that the dramatic increase in the dynamic fracture toughness at high crack speeds over the quasi-static value, which was predicted by Lain and Freund [6], is vastly diminished in the presence of strain hardening. Thus, the material resistance to rapid crack growth will be grossly overestimated by a calculation based on the perfect plasticity idealization (as in [5,6]) when the material actually displays some strain hardening.…”

Section: Introductionmentioning

confidence: 83%

“…This was supplemented by full-field finite element computations under small scale yielding. A similar finite element analysis was performed by Lam and Freund [6] for mode I plane strain. More recently, Deng and Rosakis [7] have used a finite element procedure to study dynamic crack growth under mode I, plane stress conditions in elastic-perfectly plastic solids.…”

Section: Introductionmentioning

confidence: 99%

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A finite element analysis of plane strain dynamic crack growth in materials displaying the Bauschinger effect

Narasimhan¹,

Venkatesha

1993

Int J Fract

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In this paper dynamic crack growth in an elastic-plastic material is analyzed under mode I plane strain small-scale yielding conditions using a finite element procedure. The main objective of this paper is to investigate the influence of anisotropic strain hardening on the material resistance to rapid crack growth. To this end, materials that obey an incremental plasticity theory with linear isotropic or kinematic hardening are considered. A detailed study of the near-tip stress and deformation fields is conducted for various crack speeds. The results demonstrate that kinematic hardening does not oppose the role of inertia in decreasing the plastic strains and stresses near the crack tip with increase in crack speed to the same extent as isotropic strain hardening. A ductile crack growth criterion based on the attainment of a critical crack opening displacement at a small micro-structural distance behind the tip is used to obtain the dependence of the theoretical dynamic fracture toughness with crack speed. It is found that for any given level of strain hardening, the dynamic fracture toughness displays a much more steep increase with crack speed over the quasi-static toughness for the kinematic hardening material as compared to the isotropic hardening case.

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Section: Introductionmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

A finite element analysis of plane strain dynamic crack growth in materials displaying the Bauschinger effect

Narasimhan¹,

Venkatesha

1993

Int J Fract

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“…For crack opening angle less than 90°, the application is probably limited. The key to overcome this difficulty seems to rest on the development of a complete solution which, in particular, must be valid in the area immediately behind the advancing crack tip where unloading is known to take place [39][40][41][42][43][44].…”

Section: Discussionmentioning

confidence: 99%

Crack Tip Opening Displacement and Angle for a Growing Crack in Carbon Steel

Lam

Kim

Chao

2005

Volume 6: Materials and Fabrication

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The crack tip opening displacements and angles (CTOD/CTOA) are calculated with finite element method based on the test data of a set of constraint-dependent J-R curves for A285 carbon steel. The values of the CTOD/CTOA are initially high at initiation, but rapidly decrease to a nearly constant value. When the common practice is adopted by using only the constant part of CTOD/CTOA as the fracture criterion, the crack growth behavior is shown to be severely underestimated. However, with a bilinear form of CTOD/CTOA fracture criterion which approximates the initial non-constant portion, the experimental load vs. crack extension curves can be closely predicted. Furthermore, it is demonstrated that the CTOD/CTOA is crack tip constraint dependent. The values of CTOD/CTOA for specimens with various ratios of crack length to specimen width (a/W) are reflected by the J-R curves and their slopes.

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“…The spread of intercepts on the a/c R = 0 results because of the normalization factor (AT, C corresponding to the 4340VAR steel (R c = 55) at -80°C) used to normalize all data shown on the plot. As discussed by Lam and Freund (1985), the variation of fracture toughness with crack speed for 4340 steel with R c = 45 is primarily due to inertial effects. It is anticipated that if the inertial effects were neglected, the calculated toughness would be completely independent of speed (Siegmond and Needleman, 1997).…”

Section: A(t + At) =A(t) + ä(T + At)-ä(t) + Hot (45)mentioning

confidence: 99%

“…The surrounding elastic field shows little dependence on crack speed for speeds less than about 50-60% of the shear wave speed, whereas the sharp upturn in the variation of toughness with speed has been observed for speeds in the range of 25-30% of the shear wave speed. Theoretical/numerical investigations of dynamic fracture in elastic ideally-plastic materials (Lam and Freund, 1985) have shown that this upturn in the material's fracture resistance can be attributed to inertial effects within the crack tip plastic zone. Furthermore, it has been demonstrated that for ductile solids, the inertia effects become important at much lower crack tip speeds as compared to those in brittle solids.…”

Section: Crack Tip Equation Of Motion Based On Elastodynamic Modellinmentioning

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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Analysis of dynamic growth of a tensile crack in an elastic-plastic material

Cited by 63 publications

References 6 publications

A finite element analysis of plane strain dynamic crack growth in materials displaying the Bauschinger effect

A finite element analysis of plane strain dynamic crack growth in materials displaying the Bauschinger effect

Crack Tip Opening Displacement and Angle for a Growing Crack in Carbon Steel

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

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