Crack-tip fields for fast fracture of an elastic-plastic material

J. D. Achenbach; M. F. Kanninen; C. H. Popelar

doi:10.1016/0022-5096(81)90027-2

Crack-tip fields for fast fracture of an elastic-plastic material

J. D. Achenbach^*, M. F. Kanninen, C. H. Popelar

^*Corresponding author for this work

Civil and Environmental Engineering

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

61 Scopus citations

Abstract

An asymptotic analysis of the near-tip fields is given for transient crack propagation in an elastic-plastic material. The material is characterized by J₂ flow theory together with a bilinear effective stress-strain curve. Both plane stress and plane strain conditions have been considered. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variation of the near-tip stresses, all as functions of the crack-tip speed and the ratio of the slopes of the two portions of the bilinear stress-strain relation. It was found that the results are much more sensitive to the elastic-plastic constitutive relation than to the crack speed. This result is important for numerical analyses of dynamic crack propagation problems.

Original language	English (US)
Pages (from-to)	211-225
Number of pages	15
Journal	Journal of the Mechanics and Physics of Solids
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/0022-5096(81)90027-2
State	Published - Jun 1981

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/0022-5096(81)90027-2

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title = "Crack-tip fields for fast fracture of an elastic-plastic material",

abstract = "An asymptotic analysis of the near-tip fields is given for transient crack propagation in an elastic-plastic material. The material is characterized by J2 flow theory together with a bilinear effective stress-strain curve. Both plane stress and plane strain conditions have been considered. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variation of the near-tip stresses, all as functions of the crack-tip speed and the ratio of the slopes of the two portions of the bilinear stress-strain relation. It was found that the results are much more sensitive to the elastic-plastic constitutive relation than to the crack speed. This result is important for numerical analyses of dynamic crack propagation problems.",

author = "Achenbach, {J. D.} and Kanninen, {M. F.} and Popelar, {C. H.}",

note = "Funding Information: This work was supportedb y the U.S. Office of Naval Research( Washington, D.C.), StructuralM echanicsP rogram, under Contract Numbers NOO14-76-C-0063( Northwestern",

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T1 - Crack-tip fields for fast fracture of an elastic-plastic material

AU - Achenbach, J. D.

AU - Kanninen, M. F.

AU - Popelar, C. H.

N1 - Funding Information: This work was supportedb y the U.S. Office of Naval Research( Washington, D.C.), StructuralM echanicsP rogram, under Contract Numbers NOO14-76-C-0063( Northwestern

PY - 1981/6

Y1 - 1981/6

N2 - An asymptotic analysis of the near-tip fields is given for transient crack propagation in an elastic-plastic material. The material is characterized by J2 flow theory together with a bilinear effective stress-strain curve. Both plane stress and plane strain conditions have been considered. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variation of the near-tip stresses, all as functions of the crack-tip speed and the ratio of the slopes of the two portions of the bilinear stress-strain relation. It was found that the results are much more sensitive to the elastic-plastic constitutive relation than to the crack speed. This result is important for numerical analyses of dynamic crack propagation problems.

AB - An asymptotic analysis of the near-tip fields is given for transient crack propagation in an elastic-plastic material. The material is characterized by J2 flow theory together with a bilinear effective stress-strain curve. Both plane stress and plane strain conditions have been considered. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variation of the near-tip stresses, all as functions of the crack-tip speed and the ratio of the slopes of the two portions of the bilinear stress-strain relation. It was found that the results are much more sensitive to the elastic-plastic constitutive relation than to the crack speed. This result is important for numerical analyses of dynamic crack propagation problems.

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Crack-tip fields for fast fracture of an elastic-plastic material

Abstract

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