Taylor-SPH Method for Viscoplastic Damage Material

Quasistatic Evolution of Damage in an Elastic-viscoplastic Material

The mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which removes the necessity of including a subgradient term in the equation for damage.

Dynamic Frictional Contact for Elastic Viscoplastic Material

Using a general theory for evolution inclusions, existence and uniqueness theorems are obtained for weak solutions to a frictional dynamic contact problem for elastic visco-plastic material. An existence theorem in the case where the friction coefficient is discontinuous is also presented.

Copyrighted Material - Taylor & Francis

Light interactions with biological tissues and fluids can be categorized into two large classes of biological media: (1) strongly scattering (opaque) with skin, brain, vessel walls, eye sclera, blood, and lymph, and (2) weakly scattering (transparent) with cornea, crystalline lens, vitreous humor, and aqueous humor of the front chamber of the eye.1–7 Light interactions with tissues of the first...

A conservative SPH method for surfactant dynamics

In this paper, a Lagrangian particle method is proposed for the simulation of multiphase flows with surfactant. The model is based on the multi-phase smoothed particle hydrodynamics (SPH) framework of Hu and Adams [1]. Surfaceactive agents (surfactants) are incorporated into our method by a scalar quantity describing the local concentration of molecules in the bulk phase and on the interface. T...

Efficient parallelization strategy for the SPH method