Stationary lattice defects as sources of elastic singularities in micropolar media
References (18)
Physica
(1978)- et al.
Physica
(1979) Int. J. Eng. Sci.
(1966)Theory of Micropolar Elasticity
(1970)Nonlocal Polar Field Theories
Arch. Mech.
(1977)Ann. Ec. Norm.
(1907)Theorie der Gitterfehstellen
Cited by (14)
Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples
2012, European Journal of Mechanics, A/SolidsCitation Excerpt :Furthermore, they can appear as part of the mathematical procedure to solve various elasticity problems (Boschi, 1973), notably the Eshelby inclusion problem in micropolar elasticity, where, in addition to fictitious body forces, the fictitious body couples are distributed within the volume of the inclusion, associated with the couple-stress-free compatible micro-strain (Hsieh, 1982). Fictitious body forces and body couples can also be associated with micropolar elastic multipoles, which are the sources of micropolar elastic singularities, and which can be utilized to quantitatively describe the behavior of lattice defects (Hsieh et al., 1980). Deformation of a micropolar continuum is described by the displacement vector and an independent rotation vector, because it is assumed that an infinitesimal material element can experience a microrotation without undergoing a macrodisplacement.
Eshelby tensors for a spherical inclusion in microstretch elastic fields
2006, International Journal of Solids and StructuresThe effects of couple stresses on dislocation strain energy
2003, International Journal of Solids and StructuresMicropolar elastic fields due to a spherical inclusion
1995, International Journal of Engineering ScienceElectromagnetically Coupled Elastic Wave Propagation Problems in Eddy Current Nondestructive Testing
1989, North-Holland Series in Applied Mathematics and MechanicsLattice defects in linear isotropic dielectrics
1986, International Journal of Engineering Science