{"title":"A Dynamic Model of a Porous Gradient Medium and Classification of Wave Processes","authors":"M. S. Egorova","doi":"10.1134/S1063785026700112","DOIUrl":null,"url":null,"abstract":"<p>The paper presents a generalized dynamic model of a porous gradient medium based on a variational approach. The Lagrangian of the medium includes kinetic and potential energies that depend on deformations of the elastic matrix and the scalar porosity field, as well as on their spatial gradients. A closed system of equations of motion and a porosity balance equation containing 11 physical constants describing the elastic, inertial, and gradient properties of the material, as well as the effects of interaction between fields, is obtained. The types of dynamic interaction are classified into three independent channels: kinetic, “algebraic” potential, and gradient potential. The dispersion relations of longitudinal waves are investigated for various special cases of the model. The asymptotic dependences of frequency on the wavenumber in the long- and short-wave regions are established, and the conditions of the existence of waves and the ranges of “locking” (opacity) of the medium are revealed.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":"52 2","pages":"39 - 43"},"PeriodicalIF":0.8000,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063785026700112","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The paper presents a generalized dynamic model of a porous gradient medium based on a variational approach. The Lagrangian of the medium includes kinetic and potential energies that depend on deformations of the elastic matrix and the scalar porosity field, as well as on their spatial gradients. A closed system of equations of motion and a porosity balance equation containing 11 physical constants describing the elastic, inertial, and gradient properties of the material, as well as the effects of interaction between fields, is obtained. The types of dynamic interaction are classified into three independent channels: kinetic, “algebraic” potential, and gradient potential. The dispersion relations of longitudinal waves are investigated for various special cases of the model. The asymptotic dependences of frequency on the wavenumber in the long- and short-wave regions are established, and the conditions of the existence of waves and the ranges of “locking” (opacity) of the medium are revealed.
期刊介绍：
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.
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