The present paper offers a numerical model which can be applied for the simulation of wave height distribution on a 2-D horizontal soft mud layer. The model is based on mild slope equations and it includes combined wave refraction, diffraction, reflection and breaking. The high energy dissipation of wave height due to the presence of fluid mud layer has also been simulated. Wave height attenuat...

Abstract Nonlinear constitutive equations are proposed to model variations in flow stress as a function of strain rate and temperature during hot deformation. Modified applied seventy data sets about deformation alloys. Two modifications conventional models introduced, viz. (1) nonlinear (2) multivariate with the fitting simultaneously two variables. The predictive accuracy was evaluated using ...

ARTICLE OUTLINE Definition of the Subject and Importance Introduction Granular Matter and its Statistical Mechanics Nonequilibrium statistical mechanics Liouville equation Stationary homogeneous state Macroscopic Balance Equations ”Normal” States and Hydrodynamics Navier-Stokes Approximation Constitutive equations Green-Kubo expressions Hydrodynamic equations Discussion and Outlook Bibliography...