Self-consistent relation in polycrystalline plasticity with a non-uniform matrix

TY - JOUR

T1 - Self-consistent relation in polycrystalline plasticity with a non-uniform matrix

AU - Weng, G. J.

AU - Chiang, C. R.

N1 - Funding Information: Acknowledgement-This work was supported by the United States National Seience Foundation, Solid Meehanies Program, under grant CME-8019546.

PY - 1984

Y1 - 1984

N2 - Self-consistent relations have been traditionally formulated with a uniform matrix. To represent the additional effect of plastic heterogeneity actually taking place in a polycrystal, a non-uniform distribution of body force is introduced into the matrix to calculate the inclusion-matrix interaction. This consideration allows us to extend the traditional relations to a new form which, when correlated with the characteristic length or grain size of the polycrystal, is capable of describing the grain- and/or specimen-size dependency. A geometrical interpretation on the implication of plastic constraint factor is offered; following this, the newly established self-consistent relation is seen to suggest that among others, a larger specimen will have a harder plastic response. Such a prediction, as illustrated in an application, was confirmed with experimental observations on the behavior of a low carbon steel.

AB - Self-consistent relations have been traditionally formulated with a uniform matrix. To represent the additional effect of plastic heterogeneity actually taking place in a polycrystal, a non-uniform distribution of body force is introduced into the matrix to calculate the inclusion-matrix interaction. This consideration allows us to extend the traditional relations to a new form which, when correlated with the characteristic length or grain size of the polycrystal, is capable of describing the grain- and/or specimen-size dependency. A geometrical interpretation on the implication of plastic constraint factor is offered; following this, the newly established self-consistent relation is seen to suggest that among others, a larger specimen will have a harder plastic response. Such a prediction, as illustrated in an application, was confirmed with experimental observations on the behavior of a low carbon steel.

UR - https://www.scopus.com/pages/publications/0021293102

UR - https://www.scopus.com/pages/publications/0021293102#tab=citedBy

U2 - 10.1016/0020-7683(84)90024-6

DO - 10.1016/0020-7683(84)90024-6

M3 - Article

SN - 0020-7683

VL - 20

SP - 689

EP - 698

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 7

ER -