A path-independent integral for 2-dimensional cracks in homogeneous isotropic conductive plate

Saka Masumi; Abé Hiroyuki

doi:10.1016/0020-7225(83)90014-9

A path-independent integral for 2-dimensional cracks in homogeneous isotropic conductive plate

Saka Masumi, Abé Hiroyuki

ENG - Finemechanics

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

A path-independent integral which is denoted by j_e, is introduced for the 2-dimensional crack problems in the homogeneous isotropic conductor in which the steady current flows. By utilizing the j_e-integral the distributions of the electric potential, current density and the Joule heating rate near the crack tip are derived. It is shown that the j_e-integral provides a parameter which dominates the distributions of the electric potential and current density near the crack tip as the square of the amplitude.

Original language	English
Pages (from-to)	1451-1457
Number of pages	7
Journal	International Journal of Engineering Science
Volume	21
Issue number	12
DOIs	https://doi.org/10.1016/0020-7225(83)90014-9
Publication status	Published - 1983

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)
Mechanics of Materials
Mechanical Engineering

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10.1016/0020-7225(83)90014-9

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title = "A path-independent integral for 2-dimensional cracks in homogeneous isotropic conductive plate",

abstract = "A path-independent integral which is denoted by je, is introduced for the 2-dimensional crack problems in the homogeneous isotropic conductor in which the steady current flows. By utilizing the je-integral the distributions of the electric potential, current density and the Joule heating rate near the crack tip are derived. It is shown that the je-integral provides a parameter which dominates the distributions of the electric potential and current density near the crack tip as the square of the amplitude.",

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AU - Masumi, Saka

AU - Hiroyuki, Abé

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N2 - A path-independent integral which is denoted by je, is introduced for the 2-dimensional crack problems in the homogeneous isotropic conductor in which the steady current flows. By utilizing the je-integral the distributions of the electric potential, current density and the Joule heating rate near the crack tip are derived. It is shown that the je-integral provides a parameter which dominates the distributions of the electric potential and current density near the crack tip as the square of the amplitude.

AB - A path-independent integral which is denoted by je, is introduced for the 2-dimensional crack problems in the homogeneous isotropic conductor in which the steady current flows. By utilizing the je-integral the distributions of the electric potential, current density and the Joule heating rate near the crack tip are derived. It is shown that the je-integral provides a parameter which dominates the distributions of the electric potential and current density near the crack tip as the square of the amplitude.

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