Classes of flow rules for finite viscoplasticity

by: Mike Scheidler, TW Wright

International Journal of Plasticity, Vol. 19, No. 8. (August 2003), pp. 1119-1165.

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Abstract

Classes of flow rules for finite viscoplasticity are defined by assuming that certain measures for plastic strain rate and plastic spin depend on the state variables but not on the plastic deformation. It is shown that three of these classes are mutually exclusive for finite elastic strains. For small elastic shear strains, two of the three classes are approximately equivalent. A number of exact and approximate kinematic relations between the various measures for plastic strain rate and plastic spin are derived. Some inconsistent flow rules encountered in the literature are also discussed. Throughout the paper, arbitrarily anisotropic materials are considered, and some of the simplifications resulting from the assumption of isotropy are noted.

@article{citeulike:1108679, abstract = {Classes of flow rules for finite viscoplasticity are defined by assuming that certain measures for plastic strain rate and plastic spin depend on the state variables but not on the plastic deformation. It is shown that three of these classes are mutually exclusive for finite elastic strains. For small elastic shear strains, two of the three classes are approximately equivalent. A number of exact and approximate kinematic relations between the various measures for plastic strain rate and plastic spin are derived. Some inconsistent flow rules encountered in the literature are also discussed. Throughout the paper, arbitrarily anisotropic materials are considered, and some of the simplifications resulting from the assumption of isotropy are noted.}, author = {Scheidler, Mike and Wright, T. W. }, citeulike-article-id = {1108679}, doi = {10.1016/S0749-6419(02)00012-8}, journal = {International Journal of Plasticity}, keywords = {plasticity}, month = {August}, number = {8}, pages = {1119--1165}, posted-at = {2007-02-15 17:18:00}, priority = {2}, title = {Classes of flow rules for finite viscoplasticity}, url = {http://dx.doi.org/10.1016/S0749-6419(02)00012-8}, volume = {19}, year = {2003} }

RIS record

TY - JOUR ID - citeulike:1108679 L3 - citeulike-article-id:1108679 TI - Classes of flow rules for finite viscoplasticity JF - International Journal of Plasticity VL - 19 IS - 8 SP - 1119 EP - 1165 N2 - Classes of flow rules for finite viscoplasticity are defined by assuming that certain measures for plastic strain rate and plastic spin depend on the state variables but not on the plastic deformation. It is shown that three of these classes are mutually exclusive for finite elastic strains. For small elastic shear strains, two of the three classes are approximately equivalent. A number of exact and approximate kinematic relations between the various measures for plastic strain rate and plastic spin are derived. Some inconsistent flow rules encountered in the literature are also discussed. Throughout the paper, arbitrarily anisotropic materials are considered, and some of the simplifications resulting from the assumption of isotropy are noted. KW - plasticity AU - Scheidler, Mike AU - Wright, TW PY - 2003/08// UR - http://dx.doi.org/10.1016/S0749-6419(02)00012-8 ER -

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