Engineering Transactions, 49, 1, pp. 99–108, 2001

Yield Surfaces and Criteria of Plastic Yielding for a Strain Hardening Material. Part 2. Theoretical Analysis

J. Miastkowski
Polish Academy of Sciences

R. Szczebiot
Polish Academy of Sciences

The paper presents the experimental verification of the generalized Mróz hardening hypothesis under the conditions of complex state of stress. The analysis performed takes into account the changes in size and position in the stress space of the triaxial ellipsoid illustrating the Huber-Mises-Hencky yield condition for the plane state of stress under definite plastic strains.
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W. PRAGER, On the use of singular yield conditions and associated flow rules, J. Appl. Mech., 20, 317–320, 1953.

S.B. BATDORF, B. BUDIANSKI, A mathematical theory of plasticity based on the concept of slip, NACA Technical Note 1871, 1949.

T.N. LIN, A proposed theory of plasticity based on slips, Proc. of the 2nd U.S. National Congress of Appl. Mech., 461–468, 1954.

J.F. BESSELING, A theory of plastic flow for anisotropic hardening in plastic deformation of an initially isotropic material, Nat. Aero. Inst., Amsterdam Rep. S-410, 1953.

C.H. WELLS, P.R. PASLAY, A small-strain plasticity theory for planar slip materials, J. Appl. Mech., 1969.

Z. MRÓZ, On the description of anisotropic workhardening, Mech. Phys. Solids, 15, 163–175, 1967.

H. ZIEGLER, A modification of Prager's hardening rule, Quart. Appl. Math., 17, 55–65, 1959.

P.G. HODGE W. PRAGER, A variational principle for plastic materials with strain hardening, J. Math. And Phys., 27, 1–10, 1948.

W. PRAGER, The theory of plasticity – a survery of recent archievements, James Clayton Lecture, Proc. Inst. Mech. Engng., 169, 41–57, 1955.

R.T. SHIELD, H. ZIEGLER, On Prager's hardening rule, Angew. Math. Phys. (ZAMP), Vol. IXa, 260–276, 1958.

Q.I. KADASZEWICZ, W.W. NOWOZILOW, Theory of plasticity taking into account residual microstresses, Prikl. Mat. Mech., 22, 78–89, 1958.

DOI: 10.24423/engtrans.576.2001