In this work proposed damage variables that are examined in the framework of continuum damage mechanics are used to illustrate the new concept of an undamageable material. This type of material is derived theoretically in this work with exact nonlinear stress–strain relationships. Such a material may undergo deformation with zero damage, i.e. maintain a zero value for the damage variable in the context of continuum damage mechanics. The theoretical formulation is presented in the hope that in the future, the manufacturing of such a material may be realized. The proposed undamageable material is a type of hyperelastic material similar to the Mooney–Rivlin material. It is hoped that this work will open the way for new areas of research in materials science.
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