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The extended finite element method (X-FEM) is used to be a mechanical description approach of strong discontinuity state such as the present cracks.
The shortcomings of the ECD approach to corrosion fatigue damage assessment and prediction are discussed along with the relationship between ECD and a new holistic approach known as the Discontinuity State Evolution Process.
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At the cell interface, we have a discontinuity with state U L on the left side, and state U R on the right side.
However, discontinuities between state components are introduced [68].
The main existence and localization result is applied to a partial integro-differential equation involving possible discontinuities in state variables.
Disease and illness are related concepts: patients suffer from 'illnesses' and doctors diagnose and treat 'diseases'. 1 Illnesses are experiences of discontinuities in states of being and perceived role performances; when diagnosed as diseases, they are presumed abnormalities in the function or structure of body systems.
Correspondingly, there are as many as four time scales: the one for diffusion, the swelling time, the crystallization time, and the relaxation time for the mass flux; the last is shown to be crucial to the possible development of discontinuities and quasi-discontinuities in the state of the polymer.
More than that, the reset mechanism which creates a discontinuity in the state v will be replaced by a continuous flow through the state 2π, which will influence the expression of the firing rate of the population, as it can be seen below.
The effect of discontinuity in the state variables on optimization problems is investigated on the quasi-one-dimensional Euler equations in the discrete level.
This formulation does away with the customary but non-physical discontinuity in the state of the feed stream at the inlet to the stirred tank reactor.
involving discontinuities in a state variable.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com