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For the linear track model, the results from the mixed formulation are in excellent agreement with those from a semi-analytical model formulated in the wavenumber-frequency domain, particularly in the vicinity of the loading point.
The model considered in the paper is a conceptual stochastic model, formulated in continuous-discrete state space form.
To this end a coupled three-dimensional boundary element-finite element model formulated in the time domain is used to reproduce the soil and structural behaviour, respectively.
Water network design problem was solved with adaptive random search procedure applied as general-purpose optimizer for superstructure optimization model formulated in equation form.
A mathematical model, formulated in terms of interacting populations under perfect macromixing conditions, is presented and analysed for describing micromixing in crystallisation processes.
The Discrete Equivalent Wing Crack Damage (DEWCD) model formulated in this paper couples micro-mechanics and Continuum Damage Mechanics (CDM) principles.
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Despite these differences, both found themselves, in their early thirties, in the midst of a culture consumed with aggressive risk-taking and highly mathematical trading models formulated in part by graduates of France's prestigious engineering and technical schools.
Many mathematical models formulated in terms of nonlinear differential equations can be successfully treated and solved by Lie group methods.
The impact and the compression after impact tests are simulated using constitutive material models formulated in the context of continuum damage mechanics.
Although the algorithms presented were coded for the Barcelona Basic Model, they can be easily adapted to other unsaturated elasto-plastic models formulated in terms of two independent stress variables such as net stress and suction.
Damage initiation is analysed in detail for a class of non-local damage models––formulated in an integral and a differential format by means of analytical considerations and numerical investigations in a mode-I problem.
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