On the Stability of a Microstructure Model

Mihhail Berezovski; Arkadi Berezovski

doi:10.1016/j.commatsci.2011.01.027

On the Stability of a Microstructure Model

Mihhail Berezovski, Arkadi Berezovski

Tallinn University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.

Original language	American English
Journal	Computational Materials Science
Volume	52
DOIs	https://doi.org/10.1016/j.commatsci.2011.01.027
State	Published - Feb 9 2011
Externally published	Yes

Keywords

wave propagation
microstructured solids
asymptotic stability
dispersion

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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10.1016/j.commatsci.2011.01.027License: CC BY

On the Stability of a Microstructure ModelFinal published version, 210 KBLicense: CC BY
On the Stability of a Microstructure ModelFinal published version, 210 KBLicense: CC BY

Cite this

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title = "On the Stability of a Microstructure Model",

abstract = " The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.",

keywords = "wave propagation, microstructured solids, asymptotic stability, dispersion",

author = "Mihhail Berezovski and Arkadi Berezovski",

year = "2011",

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day = "9",

doi = "10.1016/j.commatsci.2011.01.027",

language = "American English",

volume = "52",

journal = "Computational Materials Science",

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T1 - On the Stability of a Microstructure Model

AU - Berezovski, Mihhail

AU - Berezovski, Arkadi

PY - 2011/2/9

Y1 - 2011/2/9

N2 - The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.

AB - The asymptotic stability of solutions of the Mindlin-type microstructure model for solids is analyzed in the paper. It is shown that short waves are asymptotically stable even in the case of a weakly non-convex free energy dependence on microdeformation.

KW - wave propagation

KW - microstructured solids

KW - asymptotic stability

KW - dispersion

UR - https://commons.erau.edu/publication/944

UR - https://commons.erau.edu/publication/933

U2 - 10.1016/j.commatsci.2011.01.027

DO - 10.1016/j.commatsci.2011.01.027

M3 - Article

VL - 52

JO - Computational Materials Science

JF - Computational Materials Science

ER -

On the Stability of a Microstructure Model

Abstract

Keywords

Disciplines

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