scholarly journals Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods

PAMM ◽  
2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Peter Lenz ◽  
Rolf Mahnken
Keyword(s):  
Mean Field ◽  
Local Damage ◽  
Integral Type ◽  
Non Local ◽  
Homogenization Methods ◽  
Damage Simulation

A boundary element formulation for a class of non-local damage models

1999 ◽  
Vol 36 (24) ◽  
pp. 3617-3638 ◽  
Author(s):  
R. García ◽  
J. Flórez-López ◽  
M. Cerrolaza
Keyword(s):  
Boundary Element ◽  
Element Formulation ◽  
Local Damage ◽  
Damage Models ◽  
Non Local

scholarly journals Non-local effects in the mean-field disc dynamo: II – numerical and asymptotic solutions

2004 ◽  
Vol 98 (4) ◽  
pp. 345-363 ◽  
Author(s):  
Ashley P. Willis ◽  
Anvar Shukurov ◽  
Andrew M. Soward ◽  
Dmitry Sokoloff
Keyword(s):  
Mean Field ◽  
Asymptotic Solutions ◽  
Local Effects ◽  
Non Local ◽  
The Mean

scholarly journals A non-local diffusion equation arising in terminally attached polymer chains

1990 ◽  
Vol 1 (4) ◽  
pp. 311-326 ◽  
Author(s):  
Xinfu Chen ◽  
Avner Friedman
Keyword(s):  
Field Theory ◽  
Diffusion Equation ◽  
Polymer Chain ◽  
Mean Field Theory ◽  
Mean Field ◽  
Polymer Melt ◽  
Polymer Chains ◽  
Number Density ◽  
Non Local ◽  
Local Diffusion

We consider a polymer melt in a domain Ω whereby each polymer chain is attached at one endpoint to a fixed surface S contained in ∂Ω. Denote by G(x, t;y) the normalized number density of all subchains from x to y of length t. Then, according to the selfconsistent mean field theory, G satisfies, for each y: Gt - Δ2G + σϕG = 0, where σ is a real parameter, and ϕ is a functional of G(·, ·; ·) both non-local and nonlinear. We establish the existence of G and C∞ regularity of ϕ, as a function of x.

Interaction-based non-local damage model for failure in quasi-brittle materials

2013 ◽  
Vol 54 ◽  
pp. 56-62 ◽  
Author(s):  
Laura B. Rojas-Solano ◽  
David Grégoire ◽  
Gilles Pijaudier-Cabot
Keyword(s):  
Damage Model ◽  
Brittle Materials ◽  
Local Damage ◽  
Non Local
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