Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum


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1. Introduction

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We consider the leading order quasicontinuum limits of a one-dimensional granular medium governed by the Hertz contact law under precompression. The approximate model which is derived in this limit is justified by establishing asymptotic bounds for the error with the help of energy estimates. The continuum model predicts the development of shock waves, which are also studied in the full system with the aid of numerical simulations. Keywords: error estimates , strongly nonlinear , granular crystals , Quasicontinuum approximation , shocks.

Citation: Christopher Chong, P. Kevrekidis, Guido Schneider.


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Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum
Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum
Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum
Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum
Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum Spacetime: Dynamics of an Isotropic Nonlinear Elastic Continuum

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