Interaction of a screw dislocation with a bi-material interface in anti-plane couple stress elasticity

Abstract

We analyze the contribution of couple stresses to the interaction between a screw dislocation and a bi-material interface. Using Fourier integral transforms, we develop analytical representations for the stress distributions in each of the adjoining materials as well as the interaction force acting on the dislocation. Our results are illustrated with several numerical examples, which indicate that couple stresses significantly influence the corresponding stress distributions and the mobility of the dislocation when the distance between the dislocation and the material interface remains below or near the characteristic length of the materials.

Anti‐plane stress analysis for V‐notch in a piezomagnetic half space under SH wave

“…A large number of scholars use the characteristics of wave to establish nondestructive testing method to study the defects of materials, and have achieved a lot of results [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Since Pao and Mow [1] used analyzed elastic wave in the whole space by separating time variable, elastic wave theory has been gradually improved and widely used in engineering.…”

“…Vellender and Mishuris [5] analyzed an asymptotic low-dimensional model of anti-plane shear in a thin bi-material strip containing a periodic array of interfacial cracks. Gharahi et al [6] investigated the contribution of couple stresses to the interaction between a screw dislocation and a bi-material interface. Liu et al [7] focused on the study of the dynamic notch fracture toughness of Vnotched rock specimens with SHPB tests and the empirical formula.…”

“…Gharahi et al. [6] investigated the contribution of couple stresses to the interaction between a screw dislocation and a bi‐material interface. Liu et al.…”

Time-harmonic dislocations in a multilayered transversely isotropic magneto-electro-elastic half-space

“…Similar to any structural material, it is important to understand the strengthening and hardening mechanisms in the smart MEE materials (Ogbonna, 2014), which are strongly influenced by dislocations, among other factors (Gharahi et al, 2018). In other words, stability (or mobility) of dislocations could change the response of any inhomogeneous solid structure and thus influence its strength (material properties) and consequently its service life (Gharahi et al, 2018; Ranjan et al, 1987). Furthermore, dislocations can transform part of the released energy to acoustic wave which is crucial to evaluate the type and amount of damages in the solid (Alamin and Zhang, 2014).…”