Micromechanics of strain rate dependent elastic response, within the proportionality limit in metals is investigated, on the basis of dislocation kinetics. It is postulated that, the strain rate dependence of proportionality limit stress is dominated by inertia of dislocations, over drag controlled mechanisms. Subsequently, kinetic energy of accelerating edge dislocation at its incipient motion, is expressed. The proposed, inertia-dominated model is non dissipative in nature when compared with that of Frank-Read dislocation nucleation-based model and dislocation-drag mechanism-based model at high strain rates. Using Hamiltonian formalism, a new rate dependent slip criterion with corresponding threshold shear stress is derived. Experimental data on FCC samples, Aluminium-1100-0 and Oxygen free Copper; and BCC samples, pure Iron and mild steel, within a benchmark strain rate of 10 4 s −1 , are used to validate the model prediction. Reported theory on dislocation drag controlled model is compared with the proposed inertia-based theory, using published experimental data.

中文翻译：

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金属高应变率下比例极限应力的半无限刃位错模型

在位错动力学的基础上，研究了金属中在比例限制内的应变率相关弹性响应的微观力学。据推测，比例限制应力的应变率依赖于位错惯性，而不是阻力控制机制。随后，表达了在其初始运动时加速边缘位错的动能。与高应变率下基于 Frank-Read 位错成核的模型和基于位错阻力机制的模型相比，所提出的惯性主导模型本质上是非耗散的。使用哈密顿公式，推导出具有相应阈值剪应力的新的速率相关滑移准则。FCC 样品、Aluminium-1100-0 和无氧铜的实验数据；和 BCC 样品，纯铁和低碳钢，在 10 4 s -1 的基准应变率内，用于验证模型预测。使用已发表的实验数据，将报告的位错阻力控制模型理论与提出的基于惯性的理论进行比较。