In continuum damage mechanics theories, damage functions are identified based on experimental records. These functions also serve as strain hardening-softening functions similar to the conventional plasticity formulations. In a class of damage theories described in this paper it will be shown that if care is not taken, internal contradictions will arise as manifested by a snapback in the strain–stress space. This paper establishes a formal method by which different damage functions can consistently be developed leading to no snap-back in the solution.
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