Engineers are trained to think of stress limits and effective stress in strength of materials. Do you know strain limits and theories for effective strain? The idea to ask for strain limits came to me because for soft materials with large deformation there are material models with limiting chain extensibility, which lead to strain limits (or better stretch limits because of large deformation). The Gent rubber material model is a prominent example, https://en.wikipedia.org/wiki/Gent_(hyperelastic_model). The Strain Invariant Failure Theory (SIFT) for composites is a different example.
The uniaxial linearly elastic case is trivial because stress and strain are related by the Young’s modulus of the brittle material. Nevertheless, strain based criteria have not yet found proper recognition. I am concerned about general states of stress and strain in concrete, rock, bone and similar brittle (or quasi-brittle) materials.