Stress-Measure Dependence of Phase Transformation Criterion under Finite Strains: Hierarchy of Crystal Lattice Instabilities for Homogeneous and Heterogeneous Transformations
Stress-Measure Dependence of Phase Transformation Criterion under Finite Strains: Hierarchy of Crystal Lattice Instabilities for Homogeneous and Heterogeneous Transformations
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有限应变下相变准则的应力-测量依赖性：均质和异质相变晶格不稳定性的层次结构
DOI：
10.1103/physrevlett.124.075701
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发表时间：
2020
影响因子：
8.6
通讯作者：
Levitas, Valery I.
中科院分区：
文献类型：
--
作者：
Babaei, Hamed;Levitas, Valery I.
发现导致一阶相变的晶格不稳定性的层次结构，包括由序参量描述的一阶相变不稳定性和不同规定应力措施下的弹性不稳定性。在弹性失稳之后和弹性失稳之前，发现了一个意想不到的连续三阶PT，在弹性失稳之后又出现了一个一阶PT。在规定压缩二阶Piola-Kirchhoff应力下，PT为三阶直至完工；它没有迟滞和耗散，是各种应用的理想特性。对于非均质扰动和PT，当体积内部满足第一个弹性失稳判据（对应于不同应力测量的判据中）时，一阶PT发生，令人惊讶的是，它与边界处规定的应力测量无关。
Hierarchy of crystal lattice instabilities leading to a first-order phase transformation (PT) is found, which consists of PT instability described by the order parameter and elastic instabilities under different prescribed stress measures. After PT instability and prior to the elastic instability, an unexpected continuous third-order PT was discovered, which is followed by a first-order PT after the elastic instability. Under prescribed compressive second Piola-Kirchhoff stress, PT is third order until completion; it occurs without hysteresis and dissipation, properties that are ideal for various applications. For heterogeneous perturbations and PT, first-order PT occurs when the first elastic instability criterion (among criteria corresponding to different stress measures) is met inside the volume, surprisingly independent of the stress measure prescribed at the boundary.