Linking bulk modulus to an unilateral damage yield criterion: A thermodynamic modeling approach

This work presents a new damage criterion suitable for elastic, elastic-plastic/viscous or elastic-viscous-plastic materials involving rupture effects. Its derivation, made here within thermodynamic framework, follows previous scalar-valued mechanics approaches. Such approaches are appropriate to many geophysical problems quasi-brittle which there is no clear physical justification the level of complexity tensorial variable. Distinction between mechanical response compressive and tensile stresses therefore not introduced by itself but via special definition Helmholtz free energy. scheme differs from ones in that it combines with an evolution Poisson’s ratio damage, allows expressing principal space. Moreover, need compute stress eigensystem, makes simpler implement than Mohr–Coulomb criterion. Here we derive this compare observations variations bulk modulus damaged geomaterials. We also in-situ measurements find good agreement terms shape tentatively interpret results context studies rock ice mechanics.