Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 4 of 4 for “"asymptotic nonlinearities"”.
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Asymptotically nonliner oscillatory shear: theory, modeling, measurements and applications of nonlinear elasticity to stimuli-responsive composites
… for viscoelastic characterization using asymptotic material functions in oscillatory shear, referred to as medium amplitude oscillatory shear (MAOS). These material functions, four in number, emerge from an asymptotic expansion in deformation amplitude and depend only on the oscillatory …
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Explosions and unbounded growth in nonlinear delay differential equations: Numerical and asymptotic analysis
This thesis investigates the asymptotic behaviour of a scalar, nonlinear dierential equation with a fixed delay, and examines whether the properties of this equation can be replicated by an appropriate discretisation. We begin by considering equations for which the solution explodes in finite time. …
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Thixotropic-viscoelastic rheological fingerprints in large amplitude oscillatory shear
… We present an analytical solution for the asymptotic nonlinearities of this model in LAOS, as well as numerical results for the full nonlinearities. We present these results in a manner that eases the challenges of visualizing a response to four independent parameters. This canonical …
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Mathematics, Methods, and Models for Data-Driven Rheology
… we derive a new mathematical construction for asymptotic nonlinearities in simple shear flows, called Medium Amplitude Parallel Superposition (MAPS) rheology. Based on a polynomial expansion of the general time-invariant functional relationship between shear stress and strain (or strain rate) …