A constitutive model for cracking of concrete based on the incremental theory of plasticity

This part of the paper presents several examples to further demonstrate the hardening model proposed in the first part of the paper. Closed-form solutions are achieved for a thin-walled tube subjected to linear, rectangular, and circular loading paths, and the corresponding yield center loci and plastic strain trajectories are illustrated. The features of this model are further discussed.

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A New Constitutive Model in the Theory of Plasticity—Part I: Theory

Journal of Pressure Vessel Technology ◽

10.1115/1.2842137 ◽

1995 ◽

Vol 117 (4) ◽

pp. 365-370 ◽

Cited By ~ 3

Author(s):

W. Jiang

Keyword(s):

General Solution ◽

Constitutive Model ◽

Closed Form ◽

Yield Surface ◽

Kinematic Hardening ◽

Material Response ◽

Hardening Model ◽

Theory Of Plasticity

By proposing two rules to regulate the movement of the yield surface, this paper develops a new kinematic hardening model in the theory of plasticity. A closed-form general solution is obtained in the case of linear stress paths, material response under cyclic loadings is discussed, and various tube problems are solved to demonstrate the model.

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Investigation of the incremental and deformation theories of plasticity on the elastoplastic postbuckling of plates

Proceedings of the Institution of Mechanical Engineers Part L Journal of Materials Design and Applications ◽

10.1177/1464420720922866 ◽

2020 ◽

Vol 234 (7) ◽

pp. 1017-1031

Author(s):

HM Soltani ◽

M Kharazi

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Deformation Theory ◽

Finite Element Code ◽

Postbuckling Behavior ◽

Incremental Theory ◽

Aspect Ratios ◽

Theory Of Plasticity ◽

The Difference

This article investigates the elastoplastic response of buckling and postbuckling behavior of plates under uniaxial and biaxial end-shortening considering incremental theory and deformation theory of plasticity. According to elastoplastic buckling and postbuckling behavior of plates, the finite element code considering geometrically and material nonlinearities is developed based on incremental theory and deformation theory of plasticity. The results show that boundary conditions, loading ratios, and aspect ratios of a plate have a significant effect on the discrepancy between incremental theory and deformation theory. Moreover, differences in estimating the buckling point using incremental theory and deformation theory are less than 10%, while in a number of plates at the last loading steps, postbuckling paths determined by incremental theory and deformation theory are diverted from each other. Also the difference between these two theories in the postbuckling region is more noticeable by increasing the thickness of plates.

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