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arXiv 0802.1480cond-mat.mtrl-scicond-mat.soft
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非晶材料的塑性流动理论

A plastic flow theory for amorphous materials

V. I. Marchenko, Chaouqi Misbah

摘要:

从已知的塑性力学图象出发,导出了一组描述塑性流动的拉格朗日动力学方程。我们的推导是简单的流体,弹性和粘性固体理论的自然和直接的延伸。这些方程包含麦克斯韦模型作为一个特殊的限制。我们讨论了可用这组方程描述的塑性力学的一些结果。我们利用模型方程的简单的例子:应变的板和杆。我们发现,颈缩总是表现本身(而不是作为不稳定的结果),除非如果非常特殊的恒速拉伸过程。

英文摘要:

Starting from known kinematic picture for plasticity, we derive a set of dynamical equations describing plastic flow in a Lagrangian formulation. Our derivation is a natural and a straightforward extension of simple fluids, elastic and viscous solids theories. These equations contain the Maxwell model as a special limit. We discuss some results of plasticity which can be described by this set of equations. We exploit the model equations for the simple examples: straining of a slab and a rod. We find that necking manifests always itself (not as a result of instability), except if the very special constant-velocity stretching process is imposed.

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