Dynamical Behavior of Dislocations in Anisotropic Media

Teutonico, L. J.

doi:10.1103/physrev.124.1039

Cited by 41 publications

(31 citation statements)

References 3 publications

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“…We argue that the crystal anisotropy in graphite means that the momentum transfer retains some order, layers moving past other layers through the motion of basal dislocations. We note that moving basal dislocations are able to carry momentum [34,35], behaving like relativistic objects, limited not by the speed of light but by the speed of shear waves in the solid. There are 80 C atoms added in two sets of 40 C atoms in unit cell which initially has 1104 C atoms.…”

Section: Introductionmentioning

confidence: 99%

Buckle, ruck and tuck: A proposed new model for the response of graphite to neutron irradiation

Heggie

Suarez-Martinez

Davidson

et al. 2011

Journal of Nuclear Materials

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The default theory of radiation damage in graphite invokes Frenkel pair formation as the principal cause of physical property changes. We set out its inadequacies and present two new mechanisms that contribute to a better account for changes in dimension and stored energy. Damage depends on the substrate temperature, undergoing a change at approximately 250 °C. Below this temperature particle radiation imparts a permanent, nano-buckling to the layers. Above it, layers fold, forming what we describe as a ruck and tuck defect. We present first principles and molecular mechanics calculations of energies and structures to support these claims. Necessarily we extend the dislocation theory of layered materials. We cite good experimental evidence for these features from the literature on radiation damage in graphite. © 2011 Elsevier B.V. All rights reserved

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Section: Introductionmentioning

confidence: 99%

Buckle, ruck and tuck: A proposed new model for the response of graphite to neutron irradiation

Heggie

Suarez-Martinez

Davidson

et al. 2011

Journal of Nuclear Materials

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“…Throughout this section, a superfix II is attached to the displacement vector u and the components of the corresponding stress tensor. The displacement and stress fields of such a dislocation situated at the origin can be deduced from the general discussions of Bullough and Bilby [8] and the subsequent investigations undertaken by Teutonico [9]. The analysis is found to depend crucially upon the solutions of the quartic equation…”

Section: Moving Inplane Shear Crackmentioning

confidence: 99%

“…The stress field of such a dislocation situated at the origin can be extracted from the analyses of Bullough and Bilby [8] and Teutonico [9] and is found to have non-zero components given by …”

Section: Moving Antiplane Shear Crackmentioning

confidence: 99%

Dislocation layers applied to moving cracks in orthotropic crystals

Tupholme

1974

J Elasticity

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A B S T R A C TIn this paper, we consider loaded Griffith-type strip cracks moving in orthotropic crystals using the powerful method of dislocation layers. Expressions.for the components of the stress fields created are obtained in closed forms and some representative numerical results are given. The applications of the method to the BCS model of moving cracks with plastic flow are briefly discussed. RI~SUM/~Dans cet article, nous traitons des fissures sur ruban charg~ de type Griffith se d6placant en cristaux orthotropiques utilisant la puissante m6thode de couches de dislocation.Des formules pour les composantes des domaines charg6s qui sont cr6s, sont obtenues en formes ferm~es et quelques r~sultats num6riques repr6sentatifs sont donn~s. Les applications, au module BCS, de cette m~thode de fissures mobiles avec ~coulement plastique sont bri~vement discut6es. Z U S A M M E N F A S S U N GIn diesem Referat handelt es sich um geladene B/inderrisse des Griffith-Typus, die sich unter Anwendung der kraftvollen Methode der Schichtenverschiebung in orthotropischen Kristallen bewegen. Ausdrticke fiir die Bestandteile der erzeugten Kraftfelder werden in geschlossenen Formen ermittelt und einige typische, zahlenmfissige Ergebnisse angegeben. Die Anwendungen der Methode auf das BSC-Modell der sich bewegenden Risse mit plastischem Fluss werden auch kurz er6rtert.

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“…Uniform motion of dislocations in anisotropic solids has been studied in the past by Saenz [1], Bullough and Bilby [2], Teutonico [3] and others. Nonuniform motion of dislocations, however, does not appear to the authors to have been yet considered by other investigators.…”

mentioning

confidence: 99%

“…The solution to the static Problem I may be found in Eshelby [10,11] C66s2\2U2 + C220 + (C66 + Cx2)s\^-= ps2U2 (3) with boundary conditions at x2 = 0: …”

mentioning

confidence: 99%

Nonuniform motion of an edge dislocation in an anisotropic solid. I

Markenscoff¹,

Ni²

1984

Quart. Appl. Math.

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Abstract. The two-dimensional problem of the nonuniform motion of an edge dislocation in an anisotropic solid (regular hyperbolic case) is solved by means of Laplace transforms with inversion according to the Cagniard-de Hoop technique. The solution is also evaluated asymptotically at the saddle points on the Cagniard-de Hoop contour which lies on a multi-sheet Riemann surface, the singular points of which are examined in detail also in connection to the slowness surface. The stress field is square root singular near the wavefront for a motion of constant velocity starting from rest, and 2/3 singular near the cusp-tips. For general nonuniform motion the stress at the wavefront is obtained as well and an example is given for a motion starting with constant acceleration.

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Dynamical Behavior of Dislocations in Anisotropic Media

Cited by 41 publications

References 3 publications

Buckle, ruck and tuck: A proposed new model for the response of graphite to neutron irradiation

Buckle, ruck and tuck: A proposed new model for the response of graphite to neutron irradiation

Dislocation layers applied to moving cracks in orthotropic crystals

Nonuniform motion of an edge dislocation in an anisotropic solid. I

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