Abstract This paper develops an elegant plastic flow rule which relies on linearized constitutive relations governing the dissipative microscopic plastic stress responses in material bodies, and presents size-effects in torsional deformation of elasto-plastic thin wire using the derived flow equation. The obtained flow rule is based on strain gradient plasticity model, and is used to formulate an initial-boundary value problem describing the torsion problem of thin wire. Graphical illustration of the finite element solution of the problem shows that the accumulated plastic strain increases along radial axis of the wire’s cross section. Finally, it is observed that the effect of energetic length scale is significantly pronounced than that of the dissipative length scale during torsional deformation of the wire.

中文翻译：

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塑料细线的线性化扭转问题

摘要 本文开发了一种优雅的塑性流动规则，该规则依赖于控制材料体中耗散微观塑性应力响应的线性化本构关系，并使用导出的流动方程表示弹塑性细线扭转变形的尺寸效应。得到的流动规律基于应变梯度塑性模型，用于描述细线扭转问题的初边值问题。该问题的有限元解的图形说明表明累积塑性应变沿导线横截面的径向轴增加。最后，据观察，在金属丝扭转变形期间，能量长度尺度的影响比耗散长度尺度的影响显着。