The phase field fracture method is attracting significant interest. Phase approaches have enabled predicting - on arbitrary geometries and dimensions complex phenomena such as crack branching, coalescence, deflection nucleation. In this work, we present a simple robust implementation of the in commercial finite element package Abaqus. exploits analogy between evolution law heat transfer equatio...

Purpose Susceptibility weighted imaging (SWI) based on GRE provides enhancement of susceptibility difference which is useful for visualization of vein, micro-hemorrhage and iron deposition. However, GRE suffers from the macroscopic B0 inhomogeneity due to air/tissue boundary and this effect is shown as SNR loss both in magnitude and phase. Previously, 3D z-shim multi-echo GRE (mGRE) pulse seque...

the three-phase-lag model and green–naghdi theory without energy dissipation are employed to study the deformation of a two-temperature fiber-reinforced medium with an internal heat source that is moving with a constant speed under a hydrostatic initial stress and the gravity field.  the modulus of the elasticity is given as a linear function of the reference temperature. the exact expressions ...