Onsager’s Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the principles have been up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those involving magnetic fields. Recently, we were able to demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles leads to non-reciprocal relations between the thermodynamic forces and fluxes. In this work, we extend this formulation to rate-independent systems possessing non-differentiable dissipation functions. As an application, we show that the non-associated models of pressure dependent plasticity can be obtained in this fashion.

昂萨格（Onsager）被授予诺贝尔奖的昂萨格（Onsager）热力学力与通量之间的倒数关系自动遵循《热力学极端原理》。因此，这些原理到现在为止都不适用于处理实验确定的或理论上建模的不可逆系统，例如涉及磁场的系统。最近，我们能够证明，通过热力学极值原理说明的热力学力和通量的双线性形式，添加一定的障碍约束会导致热力学力和通量之间的不可逆关系。在这项工作中，我们将此公式扩展到具有不可微耗散函数的速率无关系统。作为应用，