I am wondering if the outputs with total_strain and stress in Pylith V2.2.2 are the same as the outputs with Cauchy_strain and Cauchy_stress in Pylith V3.0.2, respectively.
You are correct. For linear elasticity with infinitesimal strain, in PyLith v1 and v2, we called the strain and stress fields
stress in the output, whereas in v3 they are called
cauchy_stress. The names in v3 are more explicit in terms of the strain and stress measures being used.