NEAR TIP FIELDS IN A CRACKED PLATE ACCORDING TO DEFORMATION THEORY.

J. D. Achenbach; T. Bubenik

doi:10.1007/978-94-009-9574-1_5

NEAR TIP FIELDS IN A CRACKED PLATE ACCORDING TO DEFORMATION THEORY.

J. D. Achenbach^*, T. Bubenik

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper deformation theory is applied to a thin plate containing a through-crack. The in-plane normal stresses are assumed to be tensile, but with a nonuniform variation through the thickness of the plate, as a result of bending and a dominant extension. The nonlinear near-tip fields (which are singular) have been analyzed asymptotically on the basis of plate theory. Assuming small-scale yielding a path-independent integral, which is valid in a region close to the crack edge, is used to connect the nonlinear near-tip fields with the corresponding singular parts of the linear fields. It is shown that the nonlinear behavior near the crack edge significantly affects the through-the-thickness variations of the near-tip fields.

Original language	English (US)
Pages (from-to)	67-79
Number of pages	13
Journal	Advances in Colloid and Interface Science
DOIs	https://doi.org/10.1007/978-94-009-9574-1_5
State	Published - 1979
Event	Proc of an Int Conf on Fract Mech in Eng Appl, Natl Aeronaut Lab - Bangalore, India Duration: Mar 26 1979 → Mar 30 1979

ASJC Scopus subject areas

Surfaces and Interfaces
Physical and Theoretical Chemistry
Colloid and Surface Chemistry

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title = "NEAR TIP FIELDS IN A CRACKED PLATE ACCORDING TO DEFORMATION THEORY.",

abstract = "In this paper deformation theory is applied to a thin plate containing a through-crack. The in-plane normal stresses are assumed to be tensile, but with a nonuniform variation through the thickness of the plate, as a result of bending and a dominant extension. The nonlinear near-tip fields (which are singular) have been analyzed asymptotically on the basis of plate theory. Assuming small-scale yielding a path-independent integral, which is valid in a region close to the crack edge, is used to connect the nonlinear near-tip fields with the corresponding singular parts of the linear fields. It is shown that the nonlinear behavior near the crack edge significantly affects the through-the-thickness variations of the near-tip fields.",

author = "Achenbach, {J. D.} and T. Bubenik",

year = "1979",

doi = "10.1007/978-94-009-9574-1_5",

language = "English (US)",

pages = "67--79",

journal = "Advances in Colloid and Interface Science",

issn = "0001-8686",

publisher = "Elsevier",

note = "Proc of an Int Conf on Fract Mech in Eng Appl, Natl Aeronaut Lab ; Conference date: 26-03-1979 Through 30-03-1979",

}

TY - JOUR

T1 - NEAR TIP FIELDS IN A CRACKED PLATE ACCORDING TO DEFORMATION THEORY.

AU - Achenbach, J. D.

AU - Bubenik, T.

PY - 1979

Y1 - 1979

N2 - In this paper deformation theory is applied to a thin plate containing a through-crack. The in-plane normal stresses are assumed to be tensile, but with a nonuniform variation through the thickness of the plate, as a result of bending and a dominant extension. The nonlinear near-tip fields (which are singular) have been analyzed asymptotically on the basis of plate theory. Assuming small-scale yielding a path-independent integral, which is valid in a region close to the crack edge, is used to connect the nonlinear near-tip fields with the corresponding singular parts of the linear fields. It is shown that the nonlinear behavior near the crack edge significantly affects the through-the-thickness variations of the near-tip fields.

AB - In this paper deformation theory is applied to a thin plate containing a through-crack. The in-plane normal stresses are assumed to be tensile, but with a nonuniform variation through the thickness of the plate, as a result of bending and a dominant extension. The nonlinear near-tip fields (which are singular) have been analyzed asymptotically on the basis of plate theory. Assuming small-scale yielding a path-independent integral, which is valid in a region close to the crack edge, is used to connect the nonlinear near-tip fields with the corresponding singular parts of the linear fields. It is shown that the nonlinear behavior near the crack edge significantly affects the through-the-thickness variations of the near-tip fields.

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DO - 10.1007/978-94-009-9574-1_5

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SP - 67

EP - 79

JO - Advances in Colloid and Interface Science

JF - Advances in Colloid and Interface Science

SN - 0001-8686

T2 - Proc of an Int Conf on Fract Mech in Eng Appl, Natl Aeronaut Lab

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