nucleation model 2020 for heterogeneous material and stress balance equation

[BoZeng1997]

Reason

nucleation model should accept tensile strength, compressive strength and delta parameter as Material Properties like critical fracture release rate and regularization length.
stress balance equation for nucleation model $$F= {J_2 \over \mu} + {I_1^2 \over 9\kappa} - c_e -{3G_c \over 8\delta}=0 $$
when stress state is approaching the stress surface, the value of $F$ is going to show how far is it from stress surface locally. This is useful property to output for analysis.

Design

define tensile strength, compressive strength, delta as material.
add stress balance equation.

Impact