Analytical and numerical study of early-time response in pulse-loaded visco-elastic composites

Micallef, K, Soleiman-Fallah, A, Curtis, PT, Pope, DJ and Louca, LA (2011) Analytical and numerical study of early-time response in pulse-loaded visco-elastic composites Applied Mechanics and Materials, 82. pp. 214-219.

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Abstract

Hyperbolic partial differential equations with one space variable are used to investigate the longitudinal wave propagation through an elastic composite medium. A high order Lagrangian finite element is used to model the wave propagation and the weak-form Galerkin weighted residual method is adopted for solving the governing differential equations, viz., the one-dimensional wave equation which is extended to include damping and strain-rate effects. The numerical solutions are compared to analytical solutions (where they exist) and excellent temporal and spatial correlation is achieved, within 90-95% accuracy. It is found that damping leads to a decrease in peak stresses and strains by up to 11% for 5% of critical damping, even during the direct loading phase. It is shown that the inclusion of strain-rate did not have an effect on strains but led to an increase in stresses by almost 95%. The inclusion of both damping and strain-rate effects together increased stress values by up to 70% compared to the non-viscous cases. © (2011) Trans Tech Publications.

Item Type:	Article
Divisions :	Surrey research (other units)
Authors :	Name Email ORCID Micallef, K k.micallef@surrey.ac.uk Soleiman-Fallah, A Curtis, PT Pope, DJ Louca, LA
Date :	31 August 2011
DOI :	10.4028/www.scientific.net/AMM.82.214
Depositing User :	Symplectic Elements
Date Deposited :	17 May 2017 12:42
Last Modified :	24 Jan 2020 22:42
URI:	http://epubs.surrey.ac.uk/id/eprint/836404

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