A NUMERICAL SOLUTION METHOD FOR AN INFINITESIMAL ELASTO-PLASTIC COSSERAT MODEL

A Numerical Solution Method for an Infinitesimal Elasto-Plastic Cosserat Model

Elasto-plastic solution for thick-walled spherical vessels with an inner FGM layer

Purely elastic, partially and fully plastic stress states in a thick-walled spherical pressure vessel with an inner functionally graded material (FG) coating subjected to internal and external pressures are developed analytically in this paper. The modulus of elasticity and the uniaxial yield limit of the FG coating layer are considered to vary nonlinearly through the thickness. Using Tresca’s ...

Extrapolation Method for Numerical Solution of a Model for Endemic Infectious Diseases

Introduction Many infectious diseases are endemic in a population. In other words they present for several years. Suppose that the population size is constant and the population is uniform. In the SIR model the population is divided into three disjoint classes which change with time t and let ,  and be the fractions of the population that susceptible, infectious and removed, respectively. This...

A Unified Anisotropic Elasto-plastic Model for Sand

This paper presents a unified approach to model the influence of fabric anisotropy 6 and its evolution on both the elastic and plastic responses of sand. A physically based fabric 7 tensor is employed to characterize the anisotropic internal structure of sand. It is incorporated 8 into the nonlinear elastic stiffness tensor to describe anisotropic elasticity, and is further 9 included explicitl...

An elasto-visco-plastic model of cell aggregates.

Concentrated cell suspensions exhibit different mechanical behavior depending on the mechanical stress or deformation they undergo. They have a mixed rheological nature: cells behave elastically or viscoelastically, they can adhere to each other whereas the carrying fluid is usually Newtonian. We report here on a new elasto-visco-plastic model which is able to describe the mechanical properties...