2013/01/31 by Hideyuki Mizuno, Stefano Mossa, Jean-Louis Barrat · 137 citations
Arts and Humanities · Materials Science · Mathematics · Physics and Astronomy · #Affine transformation #Bulk modulus #Composite material #Computer science #Cultural Heritage Materials Analysis #Elastic modulus #Geometry #Glass properties and applications #Local structure #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Measure (data warehouse) #Modulus #Physics #cond-mat.dis-nn #cond-mat.soft
paper · pdf · doi:10.1103/physreve.87.042306
published in Physical Review E 87(4), 042306 (American Physical Society)
openalex publication_date 2013/04/17 · arxiv created 2013/05/01 · arxiv updated 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Glasses exhibit spatially inhomogeneous elastic properties, which can be investigated by measuring their elastic moduli at a local scale. Various methods to evaluate the local elastic modulus have been proposed in the literature. A first possibility is to measure the local stress-local strain curve and to obtain the local elastic modulus from the slope of the curve or, equivalently, to use a local fluctuation formula. Another possible route is to assume an affine strain and to use the applied global strain instead of the local strain for the calculation of the local modulus. Most recently, a third technique has been introduced, which is easy to be implemented and has the advantage of low computational cost. In this contribution, we compare these three approaches by using the same model glass and reveal the differences among them caused by the nonaffine deformations.