11 citations · 31 across the 17 of their papers we have counts for
21 papers
Double groupoids of composites: applications to uniformity
V. M. Jiménez, M. De León, M. Epstein
In this paper we present a geometrical framework to study the uniformity of a composite material by means of double groupoid theory. The notions of vertical and horizontal uniformi…
A buckling question
Marcelo Epstein
Although it is often asserted that, in view of their reduced length, axially compressible beams have a higher buckling load than their inextensible counterpart, a detailed analysis…
Large deformations of gradient elastic beams
Marcelo Epstein, Mohammadjavad Javad
Budiansky's nonlinear shell theory is particularized to a 2D setting, and thereupon generalized to a fully nonlinear, statically and kinematically exact, theory of strain-gradient…
Double groupoids in the theory of material uniformity
Marcelo Epstein
The use of double groupoids and their associated double Lie algebroids and characteristic distributions is proposed for the description and analysis of continuous media that carry…
Characteristic foliations of material evolution: from remodeling to aging
V. M. Jiménez, M. de León y M. Esptein
For any body-time manifold there exists a groupoid, called material groupoid, encoding all the material properties of the evolution material. A smoo…
Material geometry of binary composites
Marcelo Epstein
The constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual…