In this paper we introduce a new model for solid-liquid phase transitions triggered by Joule heating as they arise in the case of resistance welding of metal parts. The main novelties of the paper are the coupling of the thermistor problem with a phase field model and the consideration of phase dependent physical parameters through a mixture ansatz. The PDE system resulting from our modelling a...

A modified version of the model Opus was applied to measurements of soil water dynamics and atrazine (6-chloro-N2-ethyl-N4-isopropyl-1,3,5-triazine-2,4-diamine) persistence in a Bruntwood silt loam soil (Haplic Andosol, FAO system) in Hamilton, New Zealand. The modified model, Opus2, is briefly described and parameter estimation for the simulations is discussed. Soil water dynamics were more ac...

Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter...

Modelling and simulation are very important for revealing the relationship between process parameters internal variables like grain morphology in solidification, precipitate evolution, solid-state phase transformation laser additive manufacturing. The impact of microstructural changes on mechanical behaviors is also a hot topic Here we reviewed key developments thermal modelling, simulations, p...

nanocomposite materials have recently attracted increasing interests in the field of modelling. finite element modelling can be used for computation of bulk properties of polymer/clay nanocomposites. in this study, by   considering the structure of a nano-composite material, a quasi real model is proposed. the model has been used to predict the elastic constants by selection of suitable element...

This paper deals with the design and evaluation of a robust controller for static VAR compensator (SVC) in remote industrial power systems to enhance the voltage profile for three-phase single cage induction motor (SCIM) loads. The controller design is based on H∞ theory to deal with uncertainties arising in industrial network modelling. &#10The performance of the H∞ controller has been evaluat...