1 citations · 3 across the 5 of their papers we have counts for
5 papers
Discrete versus continuous -- linear lattice models and their exact continuous counterparts
Lorenzo Fusi, Oliver Křenek, Vít Průša +3
We review and study the correspondence between discrete linear lattice/chain models of interacting particles and their continuous counterparts represented by linear partial differe…
Modeling metamaterials by second-order rate-type constitutive relations between only the macroscopic stress and strain
Vít Průša, Casey Rodriguez, Ladislav Trnka +1
We propose a thermodynamically based approach for constructing effective rate-type constitutive relations describing finite deformations of metamaterials. The effective constitutiv…
The conclusion that metamaterials could have negative mass is a consequence of improper constitutive characterisation
David Cichra, Vít Průša, K. R. Rajagopal +2
The concept of "effective mass" is frequently used for the simplification of complex lumped parameter systems (discrete dynamical systems) as well as materials that have complicate…
Piecewise linear constitutive relations for stretch-limited elastic strings
Roger Bustamante, K. R. Rajagopal, Casey Rodriguez
This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory f…
A mathematical justification for nonlinear constitutive relations between stress and linearized strain
K. R. Rajagopal, C. Rodriguez
We present an asymptotic framework that rigorously generates nonlinear constitutive relations between stress and linearized strain for elastic bodies. Each of these relations arise…