The thermodynamic compatibility defined by the Drucker postulate applied to a phenomenological hysteretic material, belonging to a recently formulated class, is hereby investigated. Such a constitutive model is defined by means of a set of algebraic functions so that it does not require any iterative procedure to compute the response and its tangent operator. In this sense, the model is particularly feasible for dynamic analysis of structures. Moreover, its peculiar formulation permits the computation of thermodynamic compatibility conditions in closed form. It will be shown that, in general, the fulfillment of the Drucker postulate for arbitrary displacement ranges requires strong limitations of the constitutive parameters. Nevertheless, it is possible to determine a displacement compatibility range for arbitrary sets of parameters so that the Drucker postulate is fulfilled as long as the displacement amplitude does not exceed the computed threshold. Numerical applications are provided to test the computed compatibility conditions.

特此研究由适用于现象学滞后材料的德鲁克假设定义的热力学兼容性，该材料属于最近制定的类别。这种本构模型是通过一组代数函数定义的，因此它不需要任何迭代过程来计算响应及其切线算子。从这个意义上说，该模型特别适用于结构的动力分析。此外，其特殊的公式允许以封闭形式计算热力学相容性条件。将表明，一般来说，满足任意位移范围的 Drucker 假设需要对本构参数进行强限制。尽管如此，可以确定任意参数集的位移兼容性范围，以便只要位移幅度不超过计算的阈值就满足 Drucker 假设。提供了数值应用程序来测试计算出的兼容性条件。