Currently, the dissipation potential function is dealt with along two principal approaches. One approach is that unique dissipation potential function is used for plasticity and damage which is deemed that these two dissipation processes occur simultaneously and correlate with each other. Another approach is that the energy dissipated due to plasticity and damage are independent of each other. In this paper, sufficient and necessary conditions are given for the existence of dissipation potential in total relation and incremental relation for geo-material, and the sufficient and necessary conditions are provided for the decoupling of dissipation potential in total and incremental forms for geomaterial also.

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