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Energetic rate-independent systems

2015
To keep the connection with continuum mechanics, cf. also Section 1.3.2, we consider the basic state space split to two spaces $$\displaystyle\begin{array}{rcl} \mathcal{Q} = \mathcal{Y}\times \mathcal{Z},& &{}\end{array}$$ (2.0.1) where the fast component y and the slow component z of the state q = (y, z) live. Whenever possible, however, we
Alexander Mielke, Tomàš Roubíček
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Capturing Functional Independence Measure (FIM®) Ratings

Rehabilitation Nursing, 2018
Abstract Purpose: The aim of the study was to identify interventions to capture admission functional independence measure (FIM®) ratings on the day of admission to an inpatient rehabilitation facility. Design: A quantitative evidence-based practice quality improvement ...
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On rate-independent hysteresis models

Nonlinear Differential Equations and Applications, 2004
The authors develop a general approach based on energy principles for studying rate-independent processes with hysteresis. The involved energy functionals are the potential energy \(I(t,z)\) and the dissipation \(\Delta(\dot{z})\), where \(z\) is the variable describing the process and \(\dot{z}\) is the time variable, assuming that \(\Delta\) is ...
Mielke, Alexander, Theil, Florian
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Relaxation of rate-independent evolution problems

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002
The relaxation of certain time-evolution problems is investigated. As a conceptually simple example, we study elastically deformable bodies that undergo martensitic phase transformations. The movement of the phase boundaries is hindered by dry friction.
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Rate Independent Hysteresis

2000
We outline some basic features of the mathematical theory of hysteresis operators and indicate connections to applications, in particular magnetics and mechanics.
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BV‐extension of rate independent operators

Mathematische Nachrichten, 2008
AbstractRate independent operators naturally arise in the mathematical analysis of hysteresis. Among rate independent operators, the locally monotone ones are those better suited for the study of PDE's with hysteresis. We prove that a rate independent operator R:Lip(0,T) →BV(0,T) ∩C(0,T) which is locally monotone and continuous with respect to the ...
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From Rate-Dependent to Rate-Independent Brittle Crack Propagation

Journal of Elasticity, 2009
The paper presents a mathematical study of experimental results considering the geometries of the ``single edge notch tension'' (SENT) and the ``compact tension'' (ASTM-CT) in the framework of transition from a rate-dependent crack propagation of Griffith type to a rate-independent one.
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Shear-Rate-Independent Diffusion in Granular Flows

Physical Review Letters, 2015
We computationally study the behavior of the diffusion coefficient D in granular flows of monodisperse and bidisperse particles spanning regions of relatively high and low shear rate in open and closed laterally confined heaps. Measurements of D at various flow rates, streamwise positions, and depths collapse onto a single curve when plotted as a ...
Yi, Fan   +3 more
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Three Independent Determinants of Protein Evolutionary Rate

Journal of Molecular Evolution, 2013
One of the most widely accepted ideas related to the evolutionary rates of proteins is that functionally important residues or regions evolve slower than other regions, a reasonable outcome of which should be a slower evolutionary rate of the proteins with a higher density of functionally important sites.
Sun Shim, Choi, Sridhar, Hannenhalli
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On nonlocal rate-independent plasticity

International Journal of Plasticity, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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