Reduced strain gradient elasticity model with two characteristic lengths: fundamentals and application to straight dislocations

Abstract In this paper, the reduced strain gradient elasticity model with two characteristic lengths is proposed and presented. The a particular case of Mindlin’s first theory number material parameters generalization simplified to include different length scale parameters. have physical meaning longitudinal transverse scales. used study screw edge dislocations derive analytical solutions dislocation fields. displacement, elastic distortion, plastic distortion Cauchy stress fields are non-singular, finite smooth. depend on one length, whereas an up lengths. For numerical analysis fields, including been used, computed from second nearest neighbor modified embedded-atom method (2NN MEAM) potential for aluminum.