Research Article
Aug 1977
Constitutive Relations for Generalized Loadings
Authors: Hans Petersson and Egor P. Popov, F.ASCEAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 103, Issue 4
Abstract
A multisurface approach in stress space is adopted as the most general means of describing incrementally the plastic flow phenomena. Thee inner surface is the yield surface and the outer one is the bounding surface. All other surfaces are intermediate. The size of the surfaces may change in a congruent manner due to changes in the state variables. The surfaces can only translate. For plastic flow the two key parameters are the plastic strain at current time, and an increment in plastic strain from the current time to some future time for the case of monotonic outward loading. The locations of the center of a surface is a function of the preceding parameters. The examples given in the paper are for mild steel having a characteristic plateau and strain-hardening ranges. The proper balance between the influence of isotropic hardening compared to the kinematic one is achieved by using a variable weighing function.
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Published In
Journal of the Engineering Mechanics Division
Volume 103 • Issue 4 • August 1977
Pages: 611 - 627
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Aug 1977
Published online: Feb 3, 2021
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Authors
Affiliations
Hans Petersson
Research Engr., Div. of Struct. Design, Chalmers Univ. of Tech., Göteborg, Sweden; formerly, Visiting Asst. Research Engr., Univ. of California, Berkeley, Calif.
Egor P. Popov, F.ASCE
Prof. of Civ. Engrg., Div. of Struct. Engrg. and Struct. Mechanics, Univ. of California, Berkeley, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.