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arXiv 0707.4573cond-mat.mtrl-scicond-mat.stat-mech
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塑性屈服开始时的锋面传播

Fronts Propagation at the Onset of Plastic Yielding

Eran Bouchbinder, Ting-Shek Lo

摘要:

塑性屈服开始的有限阈值(屈服应力)的存在是塑性力学的普遍特征。这种干扰-解除干扰的转变自然是由一个非线性内部态场的动力学来解释的。我们表明,在非热剪切转变区(STZ)理论的非晶塑性,过渡是伴随着塑性战线的传播。我们进一步表明,平均场论不能选择这些方面的速度和超越平均场的描述,包括波动和相关性的影响,导致在方程中的新的非局部项。最后,我们证明了新的条款,与相关的内在的长度尺度,提供了一个速度选择机制的塑料战线。

英文摘要:

The existence of a finite threshold, the yield stress, for the onset of plastic yielding is a universal feature of plasticity. This jamming-unjamming transition is naturally accounted for by the dynamics of a bistable internal state field. We show, within the athermal Shear Transformation Zones (STZ) theory of amorphous plasticity, that the transition is accompanied by the propagation of plastic fronts. We further show that the mean-field theory cannot select the velocity of these fronts and go beyond the mean-field description to include fluctuations and correlations effects, resulting in new nonlocal terms in the equations. Finally, we demonstrate that the new terms, with an associated intrinsic lengthscale, provide a velocity selection mechanism for the plastic fronts.

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