Strahlungslose Eigenschwingungen von Versetzungen

Pegel, B.

doi:10.1002/pssb.19660140247

Cited by 8 publications

(6 citation statements)

References 2 publications

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“…The coefficient at (bδy ′′ ) can be interpreted as the tension of a dislocation string. This expression coincides with formula (1) of [34] and formula (6-82) of [9]. The coefficient standing at (bδÿ) agrees with formula (2) of [34].…”

Section: Some Physical Implicationssupporting

confidence: 86%

“…This expression coincides with formula (1) of [34] and formula (6-82) of [9]. The coefficient standing at (bδÿ) agrees with formula (2) of [34]. A thorough discussion of the physical consequences of the string model for description of dislocation dynamics can be found in [2,4,7,9,33,45].…”

Section: Some Physical Implicationssupporting

confidence: 81%

“…In particular, employing such approximations, we will reproduce the string model for a dislocation in the nonrelativistic regime [2,4,9,[33][34][35][36]. The expressions for the effective mass density and the string tension coincide with the expressions known in the literature for straight dislocations [3,9,[34][35][36]. The stable static configurations of dislocations turn out to be the helices with the axes directed along the Burgers vector.…”

Section: Introductionmentioning

confidence: 84%

“…On the other hand, if one keeps only the terms that are divergent on removing the dislocation core regularization, then the self-force will become local. In particular, employing such approximations, we will reproduce the string model for a dislocation in the nonrelativistic regime [2,4,9,[33][34][35][36]. The expressions for the effective mass density and the string tension coincide with the expressions known in the literature for straight dislocations [3,9,[34][35][36].…”

Section: Introductionmentioning

confidence: 85%

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Self-interaction of an arbitrary moving dislocation

Kazinski,

Ryakin,

Sokolov

2021

Preprint

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The action functional for a linear elastic medium with dislocations is given. The equations of motion following from this action reproduce the Peach-Köhler and Lorentzian forces experienced by dislocations. The explicit expressions for singular and finite parts of the self-force acting on a curved dislocation are derived in the framework of linear theory of elasticity of an isotropic medium. The velocity of dislocation is assumed to be arbitrary but less than the shear wave velocity. The nonrelativistic and ultrarelativistic limits are investigated. In the ultrarelativistic limit, the explicit expression for the leading contribution to the self-force is obtained. In the case of slowly moving dislocations, the effective equations of motion derived in the present paper reproduce the known results.

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Section: Some Physical Implicationssupporting

confidence: 86%

Section: Some Physical Implicationssupporting

confidence: 81%

Section: Introductionmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 85%

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Self-interaction of an arbitrary moving dislocation

Kazinski,

Ryakin,

Sokolov

2021

Preprint

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“…He also has calculated the scattering cross-section (the ratio of the rate of radiation to the incident energy flux). Pegel (1966), Laub and Eshelby (1966), and Ninomiya and Ishioka (1967) have obtained dispersion curves for the free vibration of a straight dislocation. On the other hand, Leibfried (1950) has pointed out that a dislocation moving through a flux of sound waves (which are a natural consequence of the thermal energy of the crystal) experiences a retarding force which is proportional to the dislocation velocity.…”

Section: Dynamic Considerationmentioning

confidence: 99%

Micromechanics of defects in solids

Mura¹,

Barnett

1987

Mechanics of Elastic and Inelastic Solids

3,030

1,372

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PrefaceThis book stems from a course on Micromechanics that I started about fifteen years ago at Northwestern University. At that time, micromechanics was a rather unfamiliar subject. Although I repeated the course every year, I was never convinced that my notes have quite developed into a final manuscript because new topics emerged constantly requiring revisions, and additions. I finally came to realize that if this is continued, then I will never complete the book to my total satisfaction. Meanwhile, T. Mori and I had coauthored a book in Japanese, entitled Micromechanics, published by Baifu-kan, Tokyo, in 1975. It received an extremely favorable response from students and researchers in Japan. This encouraged me to go ahead and publish my course notes in their latest version, as this book, which contains further development of the subject and is more comprehensive than the one published in Japanese.Micromechanics encompasses mechanics related to microstructures of materials. The method employed is a continuum theory of elasticity yet its applications cover a broad area relating to the mechanical behavior of materials: plasticity, fracture and fatigue, constitutive equations, composite materials, polycrystals, etc. These subjects are treated in this book by means of a powerful and unified method which is called the 'eigenstrain method.' In particular, problems relating to inclusions and dislocations are most effectively analyzed by this method, and therefore, special emphasis is placed on these topics. When this book is used as a text for a graduate course, Sections 3, 11, and 22 should be emphasized.

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Self‐Vibrations of Parallel Edge Dislocations

Pegel

1968

Physica Status Solidi (b)

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In general the diepereion relatione w = o(k) (k being the wave rmmber) for dislocation vibration6 as calculated from the etring made1 are not consi8tent with the fundamental assumption w 6 ck (c ie the velocity of trmveree acouetic wavee) of this model which, eeeentially, is a quasistatic approximation of the general linear dislocation dynamics (1 to 3) Two parallel dislocations may vibrate in two fundamental modes, namely a eymmetric o m and an astieymmetric om, reepectively. In Fig. 1 the dispereion relations of these fundamental modes are shown for an edge dielocation dipole. In Fig. 2 the dispersion curve8 of the fundamental dislocation vibration6 around the stable configuration of two paralld edge dblocatione with the eame Burgers vector are depicted. Similar as for a split screw dielooation considered in (3) there are no a n t i e v e k r i c vibrational modes for low wavelen@b (k 6 24) if retarded interactionsaretaltenintoscoount(~curvge4inFige. l s l l a 2 ) . Inthelimitk-bO the symmetric modes become identioal with that of a single edge dislocation as

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Strahlungslose Eigenschwingungen von Versetzungen

Cited by 8 publications

References 2 publications

Self-interaction of an arbitrary moving dislocation

Self-interaction of an arbitrary moving dislocation

Micromechanics of defects in solids

Self‐Vibrations of Parallel Edge Dislocations

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