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On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load. / Lapin, V. N.; Fomina, A. A.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 4, 01.10.2019, p. 653-662.

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

Harvard

Lapin, VN & Fomina, AA 2019, 'On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load', Journal of Applied and Industrial Mathematics, vol. 13, no. 4, pp. 653-662. https://doi.org/10.1134/S1990478919040082

APA

Lapin, V. N., & Fomina, A. A. (2019). On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load. Journal of Applied and Industrial Mathematics, 13(4), 653-662. https://doi.org/10.1134/S1990478919040082

Vancouver

Lapin VN, Fomina AA. On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load. Journal of Applied and Industrial Mathematics. 2019 Oct 1;13(4):653-662. doi: 10.1134/S1990478919040082

Author

Lapin, V. N. ; Fomina, A. A. / On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 4. pp. 653-662.

BibTeX

@article{46f83aa03f21436d88f7a52540673eb8,
title = "On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load",
abstract = "Validation is carried out of the previously proposed implicit criterion for choosing the direction of a fracture propagation under the complex loading characterized by the presence of all three modes of the stress intensity factors KI, KII, and KIII. The criterion is based on the principle of local symmetry according to which the fracture propagates in the direction providing the zero values of the factors of both mixed modes KII and KIII. Since in the general case the two conditions cannot be satisfied simultaneously, the criterion is formulated as a minimization problem for a functional that contains the sum of the values of the mixed modes integrated along the entire front of the fracture. The formulation of the criterion includes some parameter that describes the effect of each of the mixed modes; the value of this parameter should be chosen by using the experimental data. Based on two fracture propagation experiments with complex mixed loading, validation of the criterion is carried out and some estimates are given for the interval of the best value of the weight parameter.",
keywords = "fracture growth criterion, mixed loading",
author = "Lapin, {V. N.} and Fomina, {A. A.}",
year = "2019",
month = oct,
day = "1",
doi = "10.1134/S1990478919040082",
language = "English",
volume = "13",
pages = "653--662",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load

AU - Lapin, V. N.

AU - Fomina, A. A.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - Validation is carried out of the previously proposed implicit criterion for choosing the direction of a fracture propagation under the complex loading characterized by the presence of all three modes of the stress intensity factors KI, KII, and KIII. The criterion is based on the principle of local symmetry according to which the fracture propagates in the direction providing the zero values of the factors of both mixed modes KII and KIII. Since in the general case the two conditions cannot be satisfied simultaneously, the criterion is formulated as a minimization problem for a functional that contains the sum of the values of the mixed modes integrated along the entire front of the fracture. The formulation of the criterion includes some parameter that describes the effect of each of the mixed modes; the value of this parameter should be chosen by using the experimental data. Based on two fracture propagation experiments with complex mixed loading, validation of the criterion is carried out and some estimates are given for the interval of the best value of the weight parameter.

AB - Validation is carried out of the previously proposed implicit criterion for choosing the direction of a fracture propagation under the complex loading characterized by the presence of all three modes of the stress intensity factors KI, KII, and KIII. The criterion is based on the principle of local symmetry according to which the fracture propagates in the direction providing the zero values of the factors of both mixed modes KII and KIII. Since in the general case the two conditions cannot be satisfied simultaneously, the criterion is formulated as a minimization problem for a functional that contains the sum of the values of the mixed modes integrated along the entire front of the fracture. The formulation of the criterion includes some parameter that describes the effect of each of the mixed modes; the value of this parameter should be chosen by using the experimental data. Based on two fracture propagation experiments with complex mixed loading, validation of the criterion is carried out and some estimates are given for the interval of the best value of the weight parameter.

KW - fracture growth criterion

KW - mixed loading

UR - http://www.scopus.com/inward/record.url?scp=85078933658&partnerID=8YFLogxK

U2 - 10.1134/S1990478919040082

DO - 10.1134/S1990478919040082

M3 - Article

AN - SCOPUS:85078933658

VL - 13

SP - 653

EP - 662

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 23428164