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arXiv 1003.3369cond-mat.mtrl-scicond-mat.mes-hallcond-mat.othercond-mat.soft
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模型固体中结构转变的塑性和可逆性

Plasticity and reversibility of structural transitions in a model solid

Arya Paul, Surajit Sengupta, Madan Rao

摘要:

我们制定了一个唯象弹塑性理论来描述一个固体经历的结构转变,从一个正方形(p4mm)的斜(p2)晶格在两个维度。在我们的理论中,应变的分量可以相加地分解为单独的弹性和塑性贡献。当局部应力超过阈值时产生的塑性应变由唯象运动方程控制。我们研究了一个最初的正方形固体的形状动力学,因为它是通过一个转换协议,包括(1)淬火过渡(2)变形的外部应力,最后(3)反向转换回到母态。我们表明,在这个周期结束时的形状恢复取决于至关重要的应变的组成部分中的塑性的存在下负责的转变。

英文摘要:

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be decomposed additively into separate elastic and plastic contributions. The plastic strain, produced when the local stress crosses a threshold, is governed by a phenomenological equation of motion. We investigate the dynamics of shape of an initially square solid as it is cycled through a transformation protocol consisting of (1) a quench across the transition (2) deformation by an external stress and finally (3) reverse transformation back to the parent state. We show that shape recovery at the end of this cycle depends on crucially on the presence of plasticity in components of the strain responsible for the transformation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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