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Peierls stress information


Peierls stress (or Peierls-Nabarro stress, also known as the lattice friction stress[1]) is the force (first described by Rudolf Peierls and modified by Frank Nabarro) needed to move a dislocation within a plane of atoms in the unit cell. The magnitude varies periodically as the dislocation moves within the plane. Peierls stress depends on the size and width of a dislocation and the distance between planes. Because of this, Peierls stress decreases with increasing distance between atomic planes. Yet since the distance between planes increases with planar atomic density, slip of the dislocation is preferred on closely packed planes.

  1. ^ Soboyejo, Wole O. (2003). "6.4 Movement of Dislocations". Mechanical properties of engineered materials. Marcel Dekker. ISBN 0-8247-8900-8. OCLC 300921090.

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Peierls stress

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Peierls stress (or Peierls-Nabarro stress, also known as the lattice friction stress) is the force (first described by Rudolf Peierls and modified by...

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}\geq c(\beta )>0.} This was first proven by Rudolf Peierls in 1936, using what is now called a Peierls argument. The Ising model on a two-dimensional square...

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Partial dislocation Kink Cross slip Frank–Read source Cottrell atmosphere Peierls stress GND Lomer–Cottrell junction Slip Slip bands Interstitials Bjerrum defect...

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& Peierls 1977, p. 243 Cassidy 1992, Appendix A Mott & Peierls 1977, p. 224 Heisenberg 1928, as cited in Mott & Peierls 1977, p. 243 Mott & Peierls 1977...

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are regions of low stress whose grains are shielded for the effects of the grains above by vaulting and arching. When the shear stress reaches a certain...

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metals experiencing stresses. Formation of slip bands indicates a concentrated unidirectional slip on certain planes causing a stress concentration. Typically...

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is used to describe any phenomena where the environment compromises a stressed material's mechanical performance, such as temperature or environmental...

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Oxford University Press, Oxford Bruce J. Hunt (1991) The Maxwellians Peierls, Rudolf. Model-making in physics, Contemporary Physics, Volume 21 (1),...

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aware of the imminence of war, Orowan accepted the invitation of Rudolf Peierls and moved to the University of Birmingham in the United Kingdom where they...

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generally do so when the applied stress is less than a yield value. When the stress is greater than the yield stress, the material behaves plastically...

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an exchange of insults between participants. O du eselhafter Peierl (Oh, you asinine Peierl), composed by Wolfgang Amadeus Mozart, was meant for fun, mocking...

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systems that are deformed or structurally altered by thermal or mechanical stress of the magnitude of thermal fluctuations. These materials share an important...

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diffusional creep and improved Peierls' estimate of the stress required to move a dislocation through a perfect lattice named the Peierls–Nabarro force after the...

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the Super, reporting directly to Oppenheimer. He was replaced by Rudolf Peierls from the British Mission, who in turn brought in Klaus Fuchs, who was later...

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g. CoO, one of the strongest insulators known. Nevill Mott and Rudolf Peierls also in 1937 predicted the failing of band theory can be explained by including...

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Professor Julia Mary Yeomans FRS. Professor of Physics and Head, Rudolf Peierls Centre, University of Oxford. For services to Physics. Zehra Zaidi. For...

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Timeline of condensed matter physics

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orbitals. The electron hole concept is pioneered by Rudolf Peierls to understand semiconductors. Peierls coins the term Umklapp scattering. First observation...

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Max Born

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mathematical formulation of matrix mechanics and Heisenberg went on to stress how great their contributions were to quantum mechanics, which were not...

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planes. They conclude that the rate sensitivity of the flow stress is consistent with Peierls forces inhibiting dislocation motion in low-symmetry metals...

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Oliphant delegated the task to two German refugee scientists, Rudolf Peierls and Frisch, who ironically could not work on the university's secret projects...

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This was vital to the Allied victory in World War II. In 1940, the Frisch–Peierls memorandum, a document which demonstrated that the atomic bomb was more...

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when stretched or stressed. Thus, liquid crystal sheets are often used in industry to look for hot spots, map heat flow, measure stress distribution patterns...

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critical points of second-order phase transitions. In groups of organisms in stress (when approaching critical transitions), correlations tend to increase,...

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Royal Medal

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field of tissue transplantation immunity and acquired tolerance." Rudolf Peierls Physics "In recognition of his distinguished work on the theoretical foundations...

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Source field

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or the Fourier transform of Jacobi field operator obtained by applying Peierls braket on Schwinger's variational principle, is Π μ ν κ λ ( p ) = 1 2 (...

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Carbon nanothread

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S2CID 55959962. Zhu, Taishan; Ertekin, Elif (2016-04-11). "Generalized Debye-Peierls/Allen-Feldman model for the lattice thermal conductivity of low-dimensional...

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