Eshelby instability pressure for nucleation of a phase change defect
Eshelby instability pressure for nucleation of a phase change defect
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DOI：
10.1016/j.jmps.2020.104054
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发表时间：
2020-10
影响因子：
5.3
通讯作者：
X. Markenscoff
中科院分区：
文献类型：
--
作者：
X. Markenscoff
在线性各向异性弹性中，当路径无关积分消失时，证明了成核不稳定性的存在，使得任意小的区域可以在恒定势能下生长。得到了平衡Eshelby耗散和包体密度和体积模量变化的临界压力的二次方程，该方程与缺陷半径无关。关于成核的形状，诺特定理的表达式也允许一个对称破缺模式作为一个便士形状的“煎饼”，通过比较煎饼和球体的积分，它将需要更大的系统势能损失成核煎饼，但更小的系统势能损失使它变得更大。
The existence of a nucleation instability is demonstrated at the vanishing of the path-independentMintegral in linear anisotropic elasticity so that a region that is arbitrarily small can grow at constant potential energy. It yields a quadratic equation for the critical pressure to balance the Eshelby dissipation and nucleate an inclusion undergoing both change in density and change in bulk modulus, and is independent of the radius of the defect. Regarding the shape of nucleation, the expression from Noether's theorem allows also a symmetry breaking mode as a penny-shape “pancake”, and by comparison of theMintegrals for the pancake and the sphere, it would require a greater loss of potential energy of the system to nucleate a pancake, but less to grow it larger.