The existence of a nucleation instability is demonstrated at the vanishing of the path-independent M integral 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 the M integrals 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.

线性各向异性弹性中与路径无关的M积分消失，从而证明了成核不稳定性的存在，因此任意小的区域都可以以恒定的势能生长。它为临界压力生成一个二次方程式，以平衡Eshelby耗散并形核同时经历密度变化和体积模量变化的夹杂物，并且与缺陷半径无关。关于成核的形状，Noether定理的表达式还允许一个对称的破坏模式为便士形状的“薄煎饼”，并且通过比较薄煎饼和球体的M积分，将需要更大的势能损失该系统可以使薄煎饼成核，但是变薄就可以变大。