Response of cracks in structural materials to short pulse loads

Homma, Hiroomi; Shockey, D. A.; Murayama, Yasuto

doi:10.1016/0022-5096(83)90026-1

Cited by 56 publications

(28 citation statements)

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“…In contrast with the static fracture toughness, determining dynamic fracture toughness is a difficult issue [11] . Tremendous efforts have been made to study the dynamic crack growth [1,[11][12][13][14][15][16][17][18][19][20] . Various criteria have been proposed previously, which include using displacement quantities such as the crack gradient profile, the normal crack opening displacement, or the vectorial crack-face displacement to predict crack growth [12][13][14][15] and others like energy criteria [10] .…”

Section: A Criterion For Dynamic Crack Growthmentioning

confidence: 99%

Crack propagation in structures subjected to periodic excitation

张吟

2007

Acta Mech. Solida Sin.

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In the present paper, a simple mechanical model is developed to predict the dynamic response of a cracked structure subjected to periodic excitation, which has been used to identify the physical mechanisms in leading the growth or arrest of cracking. The structure under consideration consists of a beam with a crack along the axis, and thus, the crack may open in Mode I and in the axial direction propagate when the beam vibrates. In this paper, the system is modeled as a cantilever beam lying on a partial elastic foundation, where the portion of the beam on the foundation represents the intact portion of the beam. Modal analysis is employed to obtain a closed form solution for the structural response. Crack propagation is studied by allowing the elastic foundation to shorten (mimicking crack growth) if a displacement criterion, based on the material toughness, is met. As the crack propagates, the structural model is updated using the new foundation length and the response continues. From this work, two mechanisms for crack arrest are identified. It is also shown that the crack propagation is strongly influenced by the transient response of the structure.

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Section: A Criterion For Dynamic Crack Growthmentioning

confidence: 99%

Crack propagation in structures subjected to periodic excitation

张吟

2007

Acta Mech. Solida Sin.

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“…The solution enables to find the time evolution of SIF due to loading the faces of a crack. If the initial conditions at the crack tip are cr(t) = cr 0 H(t), where cr 0 is the amplitude of the tensile stress the elastodynamic solution (9.2) can be reformulated Introduction of the elastodynamic solution (a) into the constitutive relation (c) permits for determination CJp(tc) in the form (9.22) Analyses of experimental data of Homma et al [155] and Kalthoff et al [157] for 4340 steel and also data by Buchar, [156], for bainitic steel have led to the following phenomenology relation, shown by the broken line in Fig. 9.6, The result of calculations of crp(tc) for 4340 steel is shown in Fig.…”

Section: A Phenomenology Modelmentioning

confidence: 99%

“…9.6. To construct a 0 (tc) plots experimental results for 4340 steel reported in [155] and for bainitic steel reported in [156] have been analysed.…”

Section: Pulse Loading Of An Isolated Crockmentioning

confidence: 99%

“…A similar scheme of loading for SEN specimen but with initial compressive pulse a(t)· was applied in [155] and [156]. Since one end of the SEN specimen is in contact with an incident bar and the incident bar is hit by a projectile of length LP with velocity v 0 , the crack is first loaded by compressive wave of duration t 0 = LP/C 0 , and after reflection from the free end the crack is loaded in Mode I.…”

Section: Pulse Loading Of An Isolated Crockmentioning

confidence: 99%

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Crack Dynamics in Metallic Materials

Klepaczko¹

1990

CISM International Centre for Mechanical Sciences

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Le spese di stampa di questo volwne sono in parte coperte da contributi del Consiglio N azionale delle Ricerche. This volwne contains 286 illustrations.This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. ISBN 978-3-211-82226-5 ISBN 978-3-7091-2824-4 (eBook) DOI 10.1007/978-3-7091-2824 © 1990 by Springer-Verlag Wien Originally published by CISM, Udine in 1990. Springer-Verlag WienIn order to make this volwne available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader. Dynamic (inertia and strain rate) effects influence crack growth processess if the applied loading rate is sufficiently high or if the crack tip moves with a speed that is a significant fraction of the wave velocities. In the paper basic results as well as solutions to boundary value problems incorporating dynamic effects are discussed. The integral expression for the energy flow to a moving crack tip is derived and related path-area integrals are discussed. It is shown that these quantities are non-trivial only if the energy density behaves as O(rlll). The ]-integral emerges as a special case of the general formulations. For linear dynamic problems a line integral defined in the Laplace transform space is introduced. The asymptotic field of a crack growing dynamically in a linear elastic material is derived and the stress-intensity factors are defined. K 1 -solutions are discussed for a number of problems involving both stationary cracks under dynamic loading as well as moving tips. Asymptotic solutions are given for both stationary and moving tips in different non-linear materials with either rate-independent or rate-dependent elasto-plastic behaviour. These solutions provide the basis for a discussion of dynamic crack growth criteria. Finally, some aspects on numerical modelling of dynamic crack problems are briefly discussed. PREFACE

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“…Moreover, it is very important to develop a method of reducing the concentration of dynamic stress. Meanwhile, many studies (5) - (12) have been carried out on the impact strength of structural members with an imperfection represented as a crack and notch. The authors have previously discussed impact strength (13) - (17) from the viewpoint of stress wave propagation.…”

Section: Introductionmentioning

confidence: 99%

Circumferential Propagation and Interference Effect of Stress Wave in a Finite Length Strip with Circular Holes

Uda

Maekawa²,

Kasuya

2012

JMMP

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A method of reducing the concentration of dynamic stress that utilizes the circumferential propagation and interference effect of a stress wave was investigated. An impact compression load was applied to a strip specimen made of polymethylmethacrylate with circular holes. These holes consist of a central hole and two additional holes on the strip whose respective diameters, d 0 and d 1 , and the distance between the holes, pitch p, were varied. Dynamic elastic stresses on the minimum cross section of the holes were calculated using DYNA3D software to obtain the stress concentration factor K. The value of K at the central hole decreased as the diameter of the additional holes was increased because of the interference of the reflected wave and the circumferential propagation of the stress wave around the edges, which are considered to have reduced the amplitude of the stress at the edge of the central hole. Therefore, this reduction method involving the addition of holes is useful for the impact safety design of mechanical structures. Experiments gave similar results to those obtained by calculations.

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Response of cracks in structural materials to short pulse loads

Cited by 56 publications

References 9 publications

Crack propagation in structures subjected to periodic excitation

Crack propagation in structures subjected to periodic excitation

Crack Dynamics in Metallic Materials

Circumferential Propagation and Interference Effect of Stress Wave in a Finite Length Strip with Circular Holes

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