Unstable constitutive law in continuum mechanics

Standard

Unstable constitutive law in continuum mechanics. / Indeitsev, D. A.; Skubov, D. Yu; Shtukin, L. V.; Vavilov, D. S.

In: International Journal of Mechanics, Vol. 8, No. 1, 2014, p. 190-194.

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

Harvard

Indeitsev, DA, Skubov, DY, Shtukin, LV & Vavilov, DS 2014, 'Unstable constitutive law in continuum mechanics', International Journal of Mechanics, vol. 8, no. 1, pp. 190-194.

APA

Indeitsev, D. A., Skubov, D. Y., Shtukin, L. V., & Vavilov, D. S. (2014). Unstable constitutive law in continuum mechanics. International Journal of Mechanics, 8(1), 190-194.

Vancouver

Indeitsev DA, Skubov DY, Shtukin LV, Vavilov DS. Unstable constitutive law in continuum mechanics. International Journal of Mechanics. 2014;8(1):190-194.

Author

Indeitsev, D. A. ; Skubov, D. Yu ; Shtukin, L. V. ; Vavilov, D. S. / Unstable constitutive law in continuum mechanics. In: International Journal of Mechanics. 2014 ; Vol. 8, No. 1. pp. 190-194.

BibTeX

@article{7ac6fae79e8a417f8fcb5f3e117b0c2f,

title = "Unstable constitutive law in continuum mechanics",

abstract = "The present paper deals the possibility of obtaining stress-strain relation with a decreasing segment through considering two-component medium. The basic idea lies in the assumption that a crystalline structure consists of two lattices connected by nonlinear interaction force. This force depends on the relative displacement of the lattices. When the displacement reaches its critical value, the system passes to the unstable position leading to a complicated dynamics. In this article the problem of static loading of twocomponent medium is considered. The problem is limited to one space dimension. The analytic solution obtained by applying the Galerkin procedure is compared with results of numerical calculations.",

keywords = "Kinematic loading, Structural conversion, Unstable constitutive law",

author = "Indeitsev, {D. A.} and Skubov, {D. Yu} and Shtukin, {L. V.} and Vavilov, {D. S.}",

year = "2014",

language = "English",

volume = "8",

pages = "190--194",

journal = "International Journal of Mechanics",

issn = "1998-4448",

publisher = "North Atlantic University Union NAUN",

number = "1",

}

RIS

TY - JOUR

T1 - Unstable constitutive law in continuum mechanics

AU - Indeitsev, D. A.

AU - Skubov, D. Yu

AU - Shtukin, L. V.

AU - Vavilov, D. S.

PY - 2014

Y1 - 2014

N2 - The present paper deals the possibility of obtaining stress-strain relation with a decreasing segment through considering two-component medium. The basic idea lies in the assumption that a crystalline structure consists of two lattices connected by nonlinear interaction force. This force depends on the relative displacement of the lattices. When the displacement reaches its critical value, the system passes to the unstable position leading to a complicated dynamics. In this article the problem of static loading of twocomponent medium is considered. The problem is limited to one space dimension. The analytic solution obtained by applying the Galerkin procedure is compared with results of numerical calculations.

AB - The present paper deals the possibility of obtaining stress-strain relation with a decreasing segment through considering two-component medium. The basic idea lies in the assumption that a crystalline structure consists of two lattices connected by nonlinear interaction force. This force depends on the relative displacement of the lattices. When the displacement reaches its critical value, the system passes to the unstable position leading to a complicated dynamics. In this article the problem of static loading of twocomponent medium is considered. The problem is limited to one space dimension. The analytic solution obtained by applying the Galerkin procedure is compared with results of numerical calculations.

KW - Kinematic loading

KW - Structural conversion

KW - Unstable constitutive law

UR - http://www.scopus.com/inward/record.url?scp=84902457102&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84902457102

VL - 8

SP - 190

EP - 194

JO - International Journal of Mechanics

JF - International Journal of Mechanics

SN - 1998-4448

IS - 1

ER -

ID: 75071259