Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress

Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress Full article

Journal

International Journal of Engineering Science
ISSN: 0020-7225

Output data

Year: 2019, Volume: 136, Pages: 17-25 Pages count : 9 DOI: 10.1016/j.ijengsci.2018.12.005

Tags

Concrete; Crack with non-penetration; Implicit constitutive response; Inhomogeneous media; Neo-Hookean law; Nonlinear elasticity; Variational inequality

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
4	Department of Mechanical Engineering, Texas

The well-posedness of the problem of non-penetrating crack in an elastic body whose material moduli depends on the mean normal stress is studied. The type of models considered are based on a new implicit theory for the response of elastic bodies. Bodies defined by these implicit theories are more general than Cauchy elastic bodies. The problem is studied within the context of a variational inequality.

Itou H. , Kovtunenko V.A. , Rajagopal K.R.
Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress
International Journal of Engineering Science. 2019. V.136. P.17-25. DOI: 10.1016/j.ijengsci.2018.12.005 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000462810500002
Scopus:	2-s2.0-85059555082
Elibrary:	38700274
OpenAlex:	W2910605159

DB	Citing
Scopus	15
OpenAlex	15
Elibrary	16
Web of science	13