从热力学定律出发,利用自由能函数和耗散函数,通过严格的理论推导得到屈服函数、流动法则和硬化规律。在临界状态模型的框架内,将基于热力学基础的各向异性模型和特定的旋转硬化规律结合起来,提出了一种新的处理方法用来模拟密砂在三轴试验中的变形曲线。给定多组模型参数,计算排水和不排水三轴试验,并简单讨论了模型参数对曲线规律的影响,结果表明这种方法是有效的。通过屈服面在变形不同阶段采用不同的旋转方向,能够考虑密砂的复杂试验曲线特征,又由模型的热力学基础保证了屈服面和剪胀函数的协调。这种方法确定的模型结构严密,适应性强,可以描述大范围土体的特性,且简单易于使用。
Starting with the first and second laws of thermodynamics, the free energy function and dissipation potential function are discussed; then the corresponding yield loci, flow rules as well as hardening rules are deduced in a systematic manner. Within the framework of critical state soil mechanics, a new method that combines the anisotropic model based on thermodynamics and specific rotation hardening rule is presented for dense sand. Then triaxial drained and undrained test curves are simulated with given model parameters; and the influence of model parameters on curve shape is discussed briefly. The results prove the validity of this method, which covers the perplexing tdaxial test curve in dense sand by adopting variational rotation directions, as well as guarantees the consistence of dilatancy function with yield locus because of the thermodynamics basis involved. The models constructed through this method have the advantages of the strict structure, the extensive applicability and the simpleness.