Dislocations and Plastic Deformation by I. Kovács, L. Zsoldos, D. ter Haar

By I. Kovács, L. Zsoldos, D. ter Haar

Dislocations and Plastic Deformation bargains with dislocations and plastic deformation, and in particular discusses subject matters starting from deformation of unmarried crystals and dislocations within the lattice to the basics of the continuum idea, the houses of aspect defects in crystals, multiplication of dislocations, and partial dislocations. The impact of lattice defects at the actual homes of metals is additionally thought of.
Comprised of 9 chapters, this publication starts off through supplying a quick and, the place attainable, particular clarification of dislocation conception. the 1st six chapters talk about the homes of dislocations and aspect defects either in crystals and in an elastic continuum. The reader is then brought to a couple purposes of dislocation concept that express, for example, the problems excited about figuring out the hardening of alloys and the work-hardening of natural metals. This publication concludes through interpreting the impact of warmth remedy at the disorder constitution in metals.
This textual content could be of curiosity to scholars and practitioners within the box of physics.

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Bowing out of a dislocation segment with fixed end-points as a result of an external stress The exact determination of line tension is only possible by investigating the equilibrium shape of the dislocation line due to a given external stress. This method, however, is rather tedious and leads to results whose mathematical treatment is difficult [24], Instead it is more advisable to make suitable simplifying assumptions. The simplest general and analytical result may be obtained by the procedure of de Wit and Koehler [29].

5 x 10" 4 erg/cm or 5 eV per atomic plane. The calculated values are, of course, not exact; they merely yield an estimation of the order of magnitude. 24) is neglected. 25) Ana r0 where a = (1 — v) for an edge dislocation and a = 1 for a screw dislocation. 3. 27) 40 Dislocations in an Elastic Continuum acts on unit length of the dislocation, where t is a tangential unit vector pointing in the positive direction of the dislocation line. 27) to a straight-edge dislocation with b = (b, 0, 0) and t = (0, 0, 1), one obtains for the components of the force the expressions Fx = axyb , Fy = - σχχ b, Fz = 0.

2 S) , In —(1 r0 ,{** , In — [(1 - v) - v cos 25]. 7. The interaction of straight, non-parallel dislocations Only the interaction between straight and either pure edge or pure screw dislocations is discussed. The resulting (integrated) interaction between two dislocations lying along two deviating straight 48 FIG. 10. Interaction of perpen­ dicular dislocations. The positive direction of the line element is indicated by an arrow drawn on the dislocation lines. In the figures showing the interaction of the perpendicular edge dislocations, the positions of the extra halfplanes are also indicated (a) Perpendicular screw disloca­ tions, (b) Perpendicular edge dis­ locations with parallel glide planes.

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