A multi-dimensional composite model for plastic continua under polyaxial loading condition
- 7 Downloads
By replacing a medium with reinforcing components oriented and distributed uniformly in a multi-dimensional space, a constitutive model is constructed. The components are extended/compressed compatibly with the strain and the resultant of load exerted on them to balance the stress. Their load-elongation relation can be determined from a conventional material test. Each component undergoes different elongation history depending on its own orientation during deformation, so that the model can simulate elasto-plastic behavior of materials under polyaxial loading conditions. The incremental constitutive matrix has been derived for application in numerical analysis and a yield criterion is also introduced. A few subsequent yield surfaces have been predicted and compared with experiments.
Key Wordsplasticity constitutive relationship
Unable to display preview. Download preview PDF.
- Budiansky, B, Dow, N.F., Peters, R.W. and Shepherd, R.P., Proc. 1st U.S. Nat. Congr. Appl. Mech., (1951), 503.Google Scholar
- Ivey, H.J.,J. Mech. Eng. Sci.,3, 1 (1961), 15–30.Google Scholar
- Sanders, Jr., J.L., Proc. Second U.S. Nat. ongr. Appl. Mech. Amer. Soc. mech. Engrs. (1954), 455–460.Google Scholar
- Thomas J. R. Hughes and Farzin Shakib,Eng. Comput., 3 (1986), 116–120.Google Scholar
- Zienkiewicz, O.C., Nayak, G.C. and Owen, D.R.J., Int. Symp. on Foundations of plasticity, Warsa (Sep., 1972), 107.Google Scholar
- Drucker, D.C., Proc. First U.S. national Cong., of Appl. Mech. ASME (1951), 487–491.Google Scholar
- Ishlinskii, I. U.,J. Moscow National University, Mechanics, 46 (1944).Google Scholar