On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body

On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body Full article

Journal

Mathematics and Mechanics of Solids
ISSN: 1081-2865

Output data

Year: 2018, Volume: 23, Number: 3, Pages: 433-444 Pages count : 12 DOI: 10.1177/1081286517709517

Tags

crack; generalized solution; Kelvin–Voigt viscoelastic solid; limiting small strain; variational problem

Authors

Itou Hiromichi ¹ , Kovtunenko Victor A ^2,3 , Rajagopal Kumbakonam R ⁴

Affiliations

1	Department of Mathematics, Tokyo University of Science
2	Institute for Mathematics and Scientific Computing, University of Graz
3	Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences
4	Department of Mechanical Engineering, Texas A & M University,

The viscoelastic Kelvin–Voigt model is considered within the context of quasi-static deformations and generalized with respect to a nonlinear constitutive response within the framework of limiting small strain. We consider a solid possessing a crack subject to stress-free faces. The corresponding class of problems for strain-limiting nonlinear viscoelastic bodies with cracks is considered within a generalized formulation stated as variational equations and inequalities. Its generalized solution, relying on the space of bounded measures, is proved rigorously with the help of an elliptic regularization and a fixed-point argument.

Itou H. , Kovtunenko V.A. , Rajagopal K.R.
On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body
Mathematics and Mechanics of Solids. 2018. V.23. N3. P.433-444. DOI: 10.1177/1081286517709517 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000429895300012
Scopus:	2-s2.0-85044149779
Elibrary:	35513316
OpenAlex:	W2620313112

DB	Citing
Scopus	25
OpenAlex	28
Elibrary	22
Web of science	24