Junction of a Periodic Family of Rods with a Plate in Elasticity

2011 ◽  
pp. 198-233
Author(s):  
Dominique Blanchard
Keyword(s):  
Periodic Family

scholarly journals Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus

2011 ◽  
Vol 11 (2) ◽  
Author(s):  
Nassif Ghoussoub ◽  
Abbas Moameni ◽  
Ramón Zárate Sáiz
Keyword(s):  
Vector Fields ◽  
Maximal Monotone ◽  
Variational Calculus ◽  
Classical Case ◽  
Divergence Form ◽  
Graph Convergence ◽  
Monotone Vector Fields ◽  
Γ Convergence ◽  
Maximal Monotone Vector Fields ◽  
Periodic Family

AbstractWe use the theory of selfdual Lagrangians to give a variational approach to the homogenization of equations in divergence form, that are driven by a periodic family of maximal monotone vector fields. The approach has the advantage of using Γ-convergence methods for corresponding functionals just as in the classical case of convex potentials, as opposed to the graph convergence methods used in the absence of potentials. A new variational formulation for the homogenized equation is also given.

On Weakly Almost-Periodic Families of Linear Operators

1975 ◽  
Vol 18 (1) ◽  
pp. 81-85
Author(s):  
Aribindi Satyanarayan Rao
Keyword(s):  
Periodic Function ◽  
Linear Operators ◽  
Almost Periodicity ◽  
Almost Periodic Function ◽  
Almost Periodic ◽  
Weakly Almost Periodic ◽  
Periodic Family

AbstractIn this note first the weak almost-periodicity of the action of a weakly almost-periodic family of linear operators on an almost-periodic function is established. Then an application of this result is given.

scholarly journals Junction of a periodic family of elastic rods with a 3d plate. Part I

2007 ◽  
Vol 88 (1) ◽  
pp. 1-33 ◽  
Author(s):  
Dominique Blanchard ◽  
Antonio Gaudiello ◽  
Georges Griso
Keyword(s):  
Elastic Rods ◽  
Periodic Family
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