In this paper, the finite volume method is developed to analyze coupled dynamic problems of nonlinear thermoelasticity. The major focus is given to the description of martensitic phase transformations essential in the modelling of shape memory alloys. Computational experiments are carried out to study the thermo-mechanical wave interactions in a shape memory alloy rod, and a patch. Both mechani...

Gaussian processes (GP) models form an emerging methodology for modelling nonlinear dynamic systems which tries to overcome certain limitations inherent to traditional methods such as e.g. neural networks, fuzzy models or local model networks. The GP model seems promising for three reasons — first, smaller number of training parameters, second, the variance of model’s output is automatically ob...

Oculomotor-plant dynamics are not well characterised, despite their importance for modelling eye-movement control. We analysed the time course of the globe's return after horizontal displacements in three rhesus monkeys lightly anaesthetised with ketamine. The eye-position traces were well fitted by a sum of four exponentials (time constants 0.012, 0.099, 0.46, 7.8 s). The two long time-constan...

Hysteresis has been widely recognized in the soil water relationship. In this paper, a detailed review of hysteresis was performed in relation to its models. So far, different models have been suggested to describe hysteresis in the water retention curve (WRC) that could be categorized into two main groups: conceptual and empirical models. The models in the first group are based on the domain t...

Although the dominant fields in accelerator electromagnets are proportional to the excitation current, precise control of accelerator parameters requires a detailed understanding of the fields in Main Injector[1][2]magnets including contribution from eddy currents, magnet saturation, and hysteresis. Operation for decelerating beam makes such considerations particularly significant. Analysis of ...

One third of the artichoke production is used in industrial processes, where up to 70% 85% of the initial raw material is transformed into solid wastes. For an adequate management of these wastes, it is necessary to know their water sorption properties, because physical, chemical and biological changes which occur during their storage depend on water-solid interactions. The objectives of this w...

Establishment of rating curves are often required by the hydrologists for flow estimates in the streams, rivers etc. Measurement of discharge in a river is a time-consuming, expensive, and difficult process and the conventional approach of regression analysis of stage-discharge relation does not provide encouraging results especially during the floods. P

The complex dynamics of a frictional contact interface have been the subject many research investigations. However, comprehensive model has not proposed that can be easily solved and considers effect all parameters interest, i.e., variation in pressure, interaction normal tangential direction mechanisms, surface degradation. This paper proposes generalized slip based on original Valanis with ab...

1.1 Hysteresis Operators 3 1.2 The Duhem Model 13 1.3 Rheological Models of Elasto-plasticity 17 1.4 Discontinuous Hysteresis 35 1.5 Micromagnetism 45 1.6 Models of Hysteresis with Internal Variables 56 1.7 Genesis of Hysteresis and Coupling with PDEs 62 1.8 A Transport Equation with Hysteresis 69 1.9 A Quasilinear Parabolic PDE with Hysteresis 78 1.10 A Quasilinear Hyperbolic PDE with Hysteres...