Nonlinear classical elasticity model for materials with fluid and matrix phases
type: Item
instance of: scholarly article
title: Nonlinear classical elasticity model for materials with fluid and matrix phases
zbMATH Open document ID: 1427.74030
DOI: 10.1155/2018/5049104
author: Rafael Muñoz
author: Juan Melchor
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Materials with fluid and matrix phases present different acoustic responses in each phase. While longitudinal waves propagate in both phases, shear waves do it only through the solid matrix. Longitudinal waves are mainly described by volumetric propagation and shear waves by deviatoric processes. In the case of nonlinear propagation cross effects occur between both components. This paper presents a new classical nonlinear model proposing a constitutive equation that separates volumetric and deviatoric effects. Four nonlinear constants of third order are defined. The formulation is compared to constitutive equations with Landau constants for weakly elasticity and both types of nonlinear constants related. Some reinterpretation of the Landau's constants arises in terms of parallel or cross nonlinear effects between volumetric and deviatoric components.
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 7019069
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5049104
OpenAlex ID: W2903308908
cites work: Q5810382
Wikidata QID: Q128859770
description: scientific article; zbMATH DE number 7019069