Bounds for Fully Plastic Crack Problems for Infinite Bodies

MY He; JW Hutchinson

doi:10.1520/STP37300S

SYMPOSIA PAPER Published: 01 January 1983

STP37300S

Bounds for Fully Plastic Crack Problems for Infinite Bodies

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For cracks in infinite bodies it is shown that modified principles of complementary potential energy and potential energy can be used to generate upper and lower bounds to the J-integral of the deformation theory of plasticity. These principles are used to obtain relatively tight numerical bounds on J for two basic plane strain problems: the finite crack in an infinite plane and the edge-crack in a semi-infinite plane. In both problems the material is incompressible with a pure power relation between stress and strain. Upper bounds for the plane stress problems are also given.

Author Information

He, MY

Institute of Mechanics, Chinese Academy of Sciences, Beijing, China

Hutchinson, JW

Division of Applied Sciences, Harvard University, Cambridge, Mass.

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Details

Developed by Committee: E08

Pages: I-277–I-290

DOI: 10.1520/STP37300S

ISBN-EB: 978-0-8031-4869-7

ISBN-13: 978-0-8031-0727-4

Bounds for Fully Plastic Crack Problems for Infinite Bodies

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