Instability of Geomaterials Caused by Transitional Negative Stiffness

A mechanism of instability of geomaterials in compression is proposed based on the phenomenon of transitional negative stiffness associated with the process of crack/fracture formation. This phenomenon acts only for a very short time as the fracture is being formed. The negative stiffness cracks inc...

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Published inBifurcation and Degradation of Geomaterials with Engineering Applications pp. 599 - 604
Main Authors Dyskin, Arcady, Pasternak, Elena
Format Book Chapter
LanguageEnglish
Published Cham Springer International Publishing
SeriesSpringer Series in Geomechanics and Geoengineering
Subjects
Crack Formation
Crack Opening
Crack Plane
Displacement Discontinuity
Rayleigh Wave
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Abstract A mechanism of instability of geomaterials in compression is proposed based on the phenomenon of transitional negative stiffness associated with the process of crack/fracture formation. This phenomenon acts only for a very short time as the fracture is being formed. The negative stiffness cracks increase the Poisson’s ratio and thus are capable of making nearly incompressible material elastically unstable. A geomaterial can reach the limiting value of the incremental Poisson’s ratio due to dilatancy observed in compression. While dilatancy is a non-linear phenomenon, incrementally, at the time of fracture formation it is elastic and hence can be made unstable by the transitional negative stiffness.
AbstractList A mechanism of instability of geomaterials in compression is proposed based on the phenomenon of transitional negative stiffness associated with the process of crack/fracture formation. This phenomenon acts only for a very short time as the fracture is being formed. The negative stiffness cracks increase the Poisson’s ratio and thus are capable of making nearly incompressible material elastically unstable. A geomaterial can reach the limiting value of the incremental Poisson’s ratio due to dilatancy observed in compression. While dilatancy is a non-linear phenomenon, incrementally, at the time of fracture formation it is elastic and hence can be made unstable by the transitional negative stiffness.
Author Pasternak, Elena
Dyskin, Arcady
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Copyright Springer International Publishing AG 2017
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DOI 10.1007/978-3-319-56397-8_75
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Pasternak, Elena
Papamichos, Euripides
Dyskin, Arcady
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PublicationSubtitle Proceedings of the 11th International Workshop on Bifurcation and Degradation in Geomaterials dedicated to Hans Muhlhaus, Limassol, Cyprus, 21-25 May 2017
PublicationTitle Bifurcation and Degradation of Geomaterials with Engineering Applications
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Snippet A mechanism of instability of geomaterials in compression is proposed based on the phenomenon of transitional negative stiffness associated with the process of...
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StartPage 599
SubjectTerms Crack Formation
Crack Opening
Crack Plane
Displacement Discontinuity
Rayleigh Wave
Title Instability of Geomaterials Caused by Transitional Negative Stiffness
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