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Nonlinear Classical Elasticity Model for Materials with Fluid and Matrix Phases
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-27
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Muñoz, Rafael& Melchor, Juan. 2018. Nonlinear Classical Elasticity Model for Materials with Fluid and Matrix Phases. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1207797
Modern Language Association (MLA)
Muñoz, Rafael& Melchor, Juan. Nonlinear Classical Elasticity Model for Materials with Fluid and Matrix Phases. Mathematical Problems in Engineering No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1207797
American Medical Association (AMA)
Muñoz, Rafael& Melchor, Juan. Nonlinear Classical Elasticity Model for Materials with Fluid and Matrix Phases. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1207797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207797