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

这项工作提出了一种新的破坏准则，适用于涉及断裂效应的弹性，弹塑性/粘或弹-粘塑性材料。它的推导是在热力学框架内进行的，遵循先前的标量值损伤力学方法。这种方法适用于涉及准脆性材料的许多地球物理问题，对于这些问题，对于张量破坏变量的复杂程度尚无明确的物理依据。因此，对压缩应力和拉伸应力的机械响应之间的区别不是由损伤本身引起的，而是由亥姆霍兹自由能的特殊定义引起的。该方案与以前的方案不同之处在于，它结合了泊松比随损伤程度的演变，这允许在主应力空间中表达损伤准则。此外，不需要计算应力本征系统，这比Mohr-Coulomb损伤准则更易于实现。在这里，我们导出了这种破坏准则，并将其与对破坏的土工材料中的体积模量变化的观察结果进行了比较。我们还将其与现场应力测量进行比较，并在应力空间中的准则形状方面找到了很好的一致性。我们在先前的岩石和冰力学研究背景下尝试解释结果。我们还将其与现场应力测量进行比较，并在应力空间中的准则形状方面找到了很好的一致性。我们在先前的岩石和冰力学研究背景下尝试解释结果。我们还将其与现场应力测量进行比较，并在应力空间中的准则形状方面找到了很好的一致性。我们在先前的岩石和冰力学研究背景下尝试解释结果。