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Elastic properties of dislocation 国上清充通大¥ SHEAMGRAI DUD TONO UHTVEREETTY Stress field of edge dislocation The elastic field inIn Cartesian coordinate system The strain in z-direction is zero. √Plane strain Gb y(3x2+y2) y 0xx=- 2π(1-0)(x2+y22 Gby(x2-y2) 0y=2π1-0)(x2+y2)2 :=U(oxx+oyy) Gb x(x2-y2) tw=tx=2π0-0)(x2+y2)2 Institute of Forming Technology Equipment 12Elastic properties of dislocation Institute of Forming Technology & Equipment 12 Stress field of edge dislocation x y z b P 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1 ( ) 2 (1 ) ( ) ( ) ( ) 2 (1 ) ( ) x x y y zz xx yy xy yx Gb y( x y ) σ π ( υ ) (x y ) Gb y x y x y Gb x x y x y                             zz yx yy xx xy      0 0 00  The elastic field in In Cartesian coordinate system  The strain in z‐direction is zero.  Plane strain
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