Dislocation Microstructures and the Effective Behavior of Single Crystals

143 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Asymptotic expansions by Γ-convergence (2008, background): “In search of such criteria, we move from single functionals to ‘theories’ interpreting the latter as parameterized sets of functionals, where parameters may characterize the geometry of the domain, the boundary conditions, the bulk ‘loading’, or the constitutive behavior (see examples in [27,37,46,6”
Gradient theory for plasticity via homogenization of discrete dislocations (2008, methodology): “This choice has the well-known disadvantage of preventing concentration of the dislocation density, that is instead allowed, for instance, by the choice φ(Curlβ) := |Curlβ|, recently proposed by Conti and Ortiz in [7] (see also [20]).”
On the structure of A-free measures and applications (2016, unknown): “Further, in [14,20,44] it is motivated why the space U(Ω) := { u ∈ BD(Ω) : div u ∈ L(2)(Ω) }”