Abstract
Whether the concept of effective stress and strain in elastic-plastic theory is still valid under the condition of finite deformation was mainly discussed. The uni-axial compression experiments in plane stress and plane strain states were chosen for study. In the two kinds of stress states, the stress-strain curve described by logarithm strain and rotated Kirchhoff stress matches the experiments data better than the curves defined by other stress-strain description.
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HUANG Wen-bin, YANG Qing-chun. The elastic coefficient of rods for problems of large strain [J].Mechanics and Practice,1996,18(6):12–14. (in Chinese)
HUANG Wen-bin, YANG Qing-chun. Poisson’s ratio of rods for problem of finite deformation[J].Mechanics and Practice,1997,19(3):30–31. (in Chinese)
XU Chun-hui, HUANG Wen-bin, WANG Hong-wei,et al. The choice of stress and strain occurring in matal finite deformation[J].J China Agricultural University,2000,5(4):30–34. (in Chinese)
Gurson A L. Continuum theory of ductile rupture by voidnucleation and growth—Part I: Yield criteria and flow rules for porous ductile materials[J].ASME J Eng Mater Tech,1977,99(1):2–15.
Miyamoto H, Kikuchi M, Kubo M. Some contribution to process zone fracture mechanics[J].Computational Mechanics,1990,6(2):423–433.
Needleman A. A continuum model for void nucleation by inclusion debonding[J].J Appl Mech, 1987,54(3):525–531.
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Communicated by SHEN Ya-peng
Biography: ZHOU Zhe (1962∼), Associate Professor, Doctor
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Zhe, Z., Ling-li, Q., Wen-bin, H. et al. Effective stress and strain in finite deformation. Appl Math Mech 25, 595–604 (2004). https://doi.org/10.1007/BF02437608
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DOI: https://doi.org/10.1007/BF02437608