Non-local modeling with asymptotic expansion homogenization of random materials

2020 ◽  
Vol 147 ◽  
pp. 103459
Author(s):  
Sami Ben Elhaj Salah ◽  
Azdine Nait-Ali ◽  
Mikael Gueguen ◽  
Carole Nadot-Martin
Keyword(s):  
Asymptotic Expansion ◽  
Local Modeling ◽  
Non Local

Non-local modeling of thermal shock damage in refractory materials

2008 ◽  
Vol 75 (16) ◽  
pp. 4706-4720 ◽  
Author(s):  
F. Damhof ◽  
W.A.M. Brekelmans ◽  
M.G.D. Geers
Keyword(s):  
Thermal Shock ◽  
Refractory Materials ◽  
Local Modeling ◽  
Non Local

scholarly journals Non-local modeling of epoxy using an atomistically-informed kernel

2013 ◽  
Vol 50 (19) ◽  
pp. 2837-2845 ◽  
Author(s):  
Susanta Ghosh ◽  
Abhishek Kumar ◽  
Veera Sundararaghavan ◽  
Anthony M. Waas
Keyword(s):  
Local Modeling ◽  
Non Local

scholarly journals Non-local modeling with a mixture of PCFGs

2006 ◽  
Author(s):  
Slav Petrov ◽  
Leon Barrett ◽  
Dan Klein
Keyword(s):  
Local Modeling ◽  
Non Local

scholarly journals Initial Layer Analysis for a Linkage Density in Cell Adhesion Mechanisms

2018 ◽  
Vol 62 ◽  
pp. 108-122 ◽  
Author(s):  
Vuk Milisic
Keyword(s):  
Asymptotic Expansion ◽  
Singular Term ◽  
Time Derivative ◽  
Initial Layer ◽  
Limit Solution ◽  
Layer Analysis ◽  
Non Local ◽  
Asymptotic Parameter ◽  
Age Structured ◽  
Half Axis

In this paper we present a non local age structured equation involved in cell motility modeling [5, 9, 11]. It describes the evolution of a density of linkages of a point submitted to adhesion. It depends on an asymptotic parameter ɛ representing the characteristic age of linkages. Here we introduce a new initial layer term in the asymptotic expansion with respect to ɛ. This improves error estimates obtained in [5]. Moreover, we study the convergence of the time derivative of this density and show how a singular term appears when ɛ goes to zero. We show convergence, in the tight topology of measures, to the time derivative of the limit solution and a Dirac mass supported on the initial half-axis. In order to illustrate these results, numerical simulations are performed and compared to the asymptotic expansion for various values of ɛ.

scholarly journals Non-local modeling of thermomechanical localization in metals

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 369-370 ◽  
Author(s):  
Arnd Flatten ◽  
Dietmar Klingbeil ◽  
Bob Svendsen
Keyword(s):  
Local Modeling ◽  
Non Local
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