On the kinetic formulation of fracture fatigue entropy of metals

2021 ◽  
Author(s):  
Mohammad Rouhi Moghanlou ◽  
M. M. Khonsari
Keyword(s):  
Kinetic Formulation

On a kinetic formulation of elasto-viscoplasticity

1996 ◽  
Vol 34 (9) ◽  
pp. 1033-1046 ◽  
Author(s):  
A.I. Leonov ◽  
J. Padovan
Keyword(s):  
Kinetic Formulation

scholarly journals Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

2011 ◽  
Vol 4 (4) ◽  
pp. 901-918 ◽  
Author(s):  
Marion Acheritogaray ◽  
◽  
Pierre Degond ◽  
Amic Frouvelle ◽  
Jian-Guo Liu ◽  
...  
Keyword(s):  
Global Existence ◽  
Kinetic Formulation

A note on strong solutions to the variational kinetic equation for scalar conservation laws

2014 ◽  
Vol 11 (03) ◽  
pp. 621-632
Author(s):  
Misha Perepelitsa
Keyword(s):  
Conservation Laws ◽  
Differential Inclusion ◽  
Maximal Monotone ◽  
Strong Solutions ◽  
Indicator Function ◽  
Closed Convex Cone ◽  
Scalar Conservation Laws ◽  
Kinetic Formulation ◽  
Degeneracy Condition ◽  
Scalar Conservation

We consider a variational kinetic formulation for weak, entropy solutions of scalar conservation laws due to Brenier. The solutions in this formulation are represented by a kinetic density function Y that solves a differential inclusion ∂tY ∈ -A(Y) = -∂vf ⋅ ∇xY -∂ IK(Y), where IK is the indicator function of a closed, convex cone K. Under a certain "non-degeneracy" condition we determine a maximal monotone extension of A and use it to prove the existence of strong and weak solutions of the differential inclusion for a general, possibly degenerate, flux ∂vf(v). Furthermore, we discuss several properties of strong solutions.

Time-temperature and time-stress correspondence in nonlinear creep. Experimental behaviour of amorphous polymers and quantitative modelling approaches

e-Polymers ◽  
2004 ◽  
Vol 4 (1) ◽  
Author(s):  
José R. S. André ◽  
José J. C. Cruz Pinto
Keyword(s):  
Nonlinear Creep ◽  
Predictive Capability ◽  
Kinetic Formulation ◽  
Time Stress ◽  
Relative Contribution ◽  
Proposed Model ◽  
Fully Coupled ◽  
Experimental Behaviour ◽  
Modelling Approach

Abstract Non-linear creep is described by a non-simulative, analytical, dynamic molecular modelling approach. Elementary, molecular-scale, process-relevant frequencies are derived by adequate kinetic formulation. They follow almost exactly an Arrhenius-like behaviour with a range of activation enthalpies. Their relative contribution to the overall macroscopic behaviour of the materials is quantified to account for the materials’ retardation time spectra and final non-Arrhenius behaviour. A new creep compliance equation is derived, yielding a fully coupled timetemperature- stress formulation, with long-term predictive capability. Experimental data for poly(methyl methacrylate) are analysed to identify the extent to which timetemperature and time-stress correspondence relationships may be valid, and it is shown that they are approximations (especially the latter), limited to narrow ranges of experimental variables, in contrast to the proposed model, which more reasonably fits the experimental behaviour.

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