The axisymmetric damage model (ADM) is one of four micromechanical stress field models developed and maintained by N. J. Pagano's group at the AFRL Materials Directorate, Wright-Patterson AFB. These models serve to establish rigorous field theories to compute accurate stresses and energy release rates for fracture mechanics problems in composite bodies. In turn, these solutions, coupled with ex...

2-D and axisymmetric Navier-Stokes equations are solved using Reiman-Roe solver with different limiters for second-order accurate schemes. The results were obtained for supersonic viscous flows over semi-infinite axisymmetric and 2-D bodies. The free stream Mach numbers were 7.78 and 16.34. The stability of Roe method with different limiters and entropy conditions were considered. The results s...

We investigate critical points of the Onsager free-energy model on a sphere with different potential kernels, including dipolar potential, Maier-Saupe coupled dipolar/Maier-Saupe and potential. A uniform sampling method is implemented for discretization model, solution landscapes are constructed using saddle dynamics downward/upward search algorithms. first construct potentials, which all axisy...

We find the existence conditions of unduloidal and nodoidal menisci between two solid spheres and study their stability in the framework of nonspectral theory of stability of axisymmetric menisci between two axisymmetric solid bodies in the absence of gravity.

In this study, inelastic constitutive modelling is considered for the simulation of shear-thinning fluids through a circular channel. Numerical solutions are presented for power-law inelastic model, considering axisymmetric Poiseuille flow through a channel. The numerical simulation of such fluid is performed by using the Galerkin finite element approach based on artificial compression method (...

Static axisymmetric Einstein–Maxwell–Dilaton and stationary axisymmetric Einstein–Maxwell–Dilaton–Axion theories in four space–time dimensions are shown to be integrable by means of the inverse scattering transform method. PASC number(s): 97.60.Lf, 04.60.+n, 11.17.+y