Application of the Griffith Energy Concept to the Formulation of the Strength Criteria for Nonlinear-Elastic Medium with a Crack

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Application of the Griffith Energy Concept to the Formulation of the Strength Criteria for Nonlinear-Elastic Medium with a Crack. / Arutyunyan, A. R.; Arutyunyan, R. A.

In: Mechanics of Solids, Vol. 53, No. 3, 05.2018, p. 349-353.

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

BibTeX

@article{9f4178c214634f8bbd9f1a14f4d37bcc,

title = "Application of the Griffith Energy Concept to the Formulation of the Strength Criteria for Nonlinear-Elastic Medium with a Crack",

abstract = "In connection with the massive introduction of nanocrystalline and nanocomposite materials in which elastic deformation can reach more than 3%into engineering practice, arises the need for the formulation of nonlinear elastic equations and the basic criteria for fracture mechanics. Current coefficient of transverse deformation [1, 2, 3] is used in this article and nonlinear elastic equations and a modified Griffith strength criterion [4] for a cracked specimen are formulated. On the basis of this criterion, the values of theoretical and real strength are estimated. Three cases are considered: an ideal lattice without defects, nanocrystalline and nanocomposite materials with crack sizes within a few nanometers, a laboratory sample with a micron size of cracks. It is shown that the theoretical strength is two orders of magnitude greater than the strength of the laboratory sample. This result is in agreement with the known estimates in the literature [5]. In the case when the material has cracks of the order of nanosizes, there is a significant reduction in strength (within one order of magnitude of theoretical strength).",

keywords = "critical crack length, critical stress, current transverse strain coefficient, Griffith energy concept, nonlinear elastic medium, real strength, theoretical strength",

author = "Arutyunyan, {A. R.} and Arutyunyan, {R. A.}",

note = "Publisher Copyright: {\textcopyright} 2018, Allerton Press, Inc.",

year = "2018",

month = may,

doi = "10.3103/S0025654418070130",

language = "English",

volume = "53",

pages = "349--353",

journal = "Mechanics of Solids",

issn = "0025-6544",

publisher = "Allerton Press, Inc.",

number = "3",

}

RIS

TY - JOUR

T1 - Application of the Griffith Energy Concept to the Formulation of the Strength Criteria for Nonlinear-Elastic Medium with a Crack

AU - Arutyunyan, A. R.

AU - Arutyunyan, R. A.

PY - 2018/5

Y1 - 2018/5

N2 - In connection with the massive introduction of nanocrystalline and nanocomposite materials in which elastic deformation can reach more than 3%into engineering practice, arises the need for the formulation of nonlinear elastic equations and the basic criteria for fracture mechanics. Current coefficient of transverse deformation [1, 2, 3] is used in this article and nonlinear elastic equations and a modified Griffith strength criterion [4] for a cracked specimen are formulated. On the basis of this criterion, the values of theoretical and real strength are estimated. Three cases are considered: an ideal lattice without defects, nanocrystalline and nanocomposite materials with crack sizes within a few nanometers, a laboratory sample with a micron size of cracks. It is shown that the theoretical strength is two orders of magnitude greater than the strength of the laboratory sample. This result is in agreement with the known estimates in the literature [5]. In the case when the material has cracks of the order of nanosizes, there is a significant reduction in strength (within one order of magnitude of theoretical strength).

AB - In connection with the massive introduction of nanocrystalline and nanocomposite materials in which elastic deformation can reach more than 3%into engineering practice, arises the need for the formulation of nonlinear elastic equations and the basic criteria for fracture mechanics. Current coefficient of transverse deformation [1, 2, 3] is used in this article and nonlinear elastic equations and a modified Griffith strength criterion [4] for a cracked specimen are formulated. On the basis of this criterion, the values of theoretical and real strength are estimated. Three cases are considered: an ideal lattice without defects, nanocrystalline and nanocomposite materials with crack sizes within a few nanometers, a laboratory sample with a micron size of cracks. It is shown that the theoretical strength is two orders of magnitude greater than the strength of the laboratory sample. This result is in agreement with the known estimates in the literature [5]. In the case when the material has cracks of the order of nanosizes, there is a significant reduction in strength (within one order of magnitude of theoretical strength).

KW - critical crack length

KW - critical stress

KW - current transverse strain coefficient

KW - Griffith energy concept

KW - nonlinear elastic medium

KW - real strength

KW - theoretical strength

UR - http://www.scopus.com/inward/record.url?scp=85103390422&partnerID=8YFLogxK

U2 - 10.3103/S0025654418070130

DO - 10.3103/S0025654418070130

M3 - Article

AN - SCOPUS:85103390422

VL - 53

SP - 349

EP - 353

JO - Mechanics of Solids

JF - Mechanics of Solids

SN - 0025-6544

IS - 3

ER -

ID: 86224582