Assume that the local compliance tensor of an elastic composite in two space dimensions is equal to a rank-one tensor plus a null-Lagrangian (there is only one symmetric one in 2D). The purpose of this paper is to prove that the effective compliance tensor has the same representation: rank-one plus the null-Lagrangian. This statement generalizes the well-known result of Hill [14, 15] that a com...

Particle energization in shear flows is invoked to explain non-thermal emission from the boundaries of relativistic astrophysical jets. Yet, physics particle injection, i.e., mechanism that allows thermal particles participate shear-driven acceleration, remains unknown. With particle-in-cell simulations, we study development Kelvin-Helmholtz (KH) instabilities seeded by velocity between a magne...

an earthquake with the magnitude of 5.9 mw occurred in qeshm island and hormozgan province in november 27th 2005. 3d co-seismic deformation field caused by the earthquake are determined based on the ascending and descending interferograms and azimuth offsets. the peak to peak estimated displacement is about 10 cm in west, 69 cm in north and 22 cm in vertical directions. we apply strain analysis...

Keywords: Dirac equation Yukawa potential Coulomb-like tensor potential Spin and p-spin symmetry Nikiforov–Uvarov method a b s t r a c t This study presents the solutions of the Dirac equation with a new suggested Yukawa-type potential for any spin–orbit quantum number j interacting with a Coulomb-like tensor interaction. In the presence of spin and pseudospin (p-spin) symmetries, the approxima...