Instability of geomaterials caused by transitional negative stiffness

Arcady Dyskin; Elena Pasternak

doi:10.1007/978-3-319-56397-8_75

Instability of geomaterials caused by transitional negative stiffness

Arcady Dyskin, Elena Pasternak

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

2 Citations (Scopus)

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. © Springer International Publishing AG 2017.

Original language	English
Title of host publication	Bifurcation and Degradation of Geomaterials with Engineering Applications
Editors	Euripides Papamichos, Panos Papanastasiou, Elena Pasternak, Arcady Dyskin
Place of Publication	Netherlands
Publisher	Springer
Pages	599-604
Number of pages	6
Edition	191289
ISBN (Electronic)	9783319563978
ISBN (Print)	9783319563961
DOIs	https://doi.org/10.1007/978-3-319-56397-8_75
Publication status	Published - 2017
Event	11th International Workshop on Bifurcation and Degradation in Geomaterials - Limassol, Cyprus Duration: 21 May 2017 → 25 May 2017

Publication series

Name	Springer Series in Geomechanics and Geoengineering
ISSN (Print)	1866-8755

Conference

Conference	11th International Workshop on Bifurcation and Degradation in Geomaterials
Country/Territory	Cyprus
City	Limassol
Period	21/05/17 → 25/05/17

Access to Document

10.1007/978-3-319-56397-8_75

Cite this

Dyskin, A., & Pasternak, E. (2017). Instability of geomaterials caused by transitional negative stiffness. In E. Papamichos, P. Papanastasiou, E. Pasternak, & A. Dyskin (Eds.), Bifurcation and Degradation of Geomaterials with Engineering Applications (191289 ed., pp. 599-604). (Springer Series in Geomechanics and Geoengineering). Springer. https://doi.org/10.1007/978-3-319-56397-8_75

Dyskin, Arcady ; Pasternak, Elena. / Instability of geomaterials caused by transitional negative stiffness. Bifurcation and Degradation of Geomaterials with Engineering Applications. editor / Euripides Papamichos ; Panos Papanastasiou ; Elena Pasternak ; Arcady Dyskin. 191289. ed. Netherlands : Springer, 2017. pp. 599-604 (Springer Series in Geomechanics and Geoengineering).

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title = "Instability of geomaterials caused by transitional negative stiffness",

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{\textquoteright}s ratio and thus are capable of making nearly incompressible material elastically unstable. A geomaterial can reach the limiting value of the incremental Poisson{\textquoteright}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. {\textcopyright} Springer International Publishing AG 2017.",

author = "Arcady Dyskin and Elena Pasternak",

year = "2017",

doi = "10.1007/978-3-319-56397-8_75",

language = "English",

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series = "Springer Series in Geomechanics and Geoengineering",

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pages = "599--604",

editor = "Euripides Papamichos and Panos Papanastasiou and Elena Pasternak and Arcady Dyskin",

booktitle = "Bifurcation and Degradation of Geomaterials with Engineering Applications",

address = "Netherlands",

edition = "191289",

note = "11th International Workshop on Bifurcation and Degradation in Geomaterials ; Conference date: 21-05-2017 Through 25-05-2017",

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Dyskin, A & Pasternak, E 2017, Instability of geomaterials caused by transitional negative stiffness. in E Papamichos, P Papanastasiou, E Pasternak & A Dyskin (eds), Bifurcation and Degradation of Geomaterials with Engineering Applications. 191289 edn, Springer Series in Geomechanics and Geoengineering, Springer, Netherlands, pp. 599-604, 11th International Workshop on Bifurcation and Degradation in Geomaterials , Limassol, Cyprus, 21/05/17. https://doi.org/10.1007/978-3-319-56397-8_75

Instability of geomaterials caused by transitional negative stiffness. / Dyskin, Arcady ; Pasternak, Elena.
Bifurcation and Degradation of Geomaterials with Engineering Applications. ed. / Euripides Papamichos; Panos Papanastasiou; Elena Pasternak; Arcady Dyskin. 191289. ed. Netherlands: Springer, 2017. p. 599-604 (Springer Series in Geomechanics and Geoengineering).

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

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N2 - 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. © Springer International Publishing AG 2017.

AB - 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. © Springer International Publishing AG 2017.

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DO - 10.1007/978-3-319-56397-8_75

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T3 - Springer Series in Geomechanics and Geoengineering

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EP - 604

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A2 - Papanastasiou, Panos

A2 - Pasternak, Elena

A2 - Dyskin, Arcady

PB - Springer

CY - Netherlands

T2 - 11th International Workshop on Bifurcation and Degradation in Geomaterials

Y2 - 21 May 2017 through 25 May 2017

ER -

Dyskin A , Pasternak E. Instability of geomaterials caused by transitional negative stiffness. In Papamichos E, Papanastasiou P, Pasternak E, Dyskin A, editors, Bifurcation and Degradation of Geomaterials with Engineering Applications. 191289 ed. Netherlands: Springer. 2017. p. 599-604. (Springer Series in Geomechanics and Geoengineering). doi: 10.1007/978-3-319-56397-8_75

Instability of geomaterials caused by transitional negative stiffness

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