A theoretical framework for constructing elastic/plastic constitutive models of triaxial tests
A theoretical framework for constructing elastic/plastic constitutive models of triaxial tests
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DOI：
10.1002/nag.247
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发表时间：
2002-11
影响因子：
4
通讯作者：
Ian F. Collins;T. Hilder
中科院分区：
文献类型：
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作者：
Ian F. Collins;T. Hilder
现代的热力学思想被用来发展描述在三轴条件下变形的无黏结土的弹性/塑性行为的模型。在确定了自由能和耗散势函数的形式后，系统地推导出相应的屈服轨迹、流动规律、各向同性和运动硬化规律以及弹性规律。这些族包括经典的线性摩擦（库仑型）模型和作为特殊情况的经典临界状态模型。这里讨论的广义模型包括非相关流动规则、剪切和体积硬化、各向异性响应和旋转屈服轨迹。描述模型所需的各种参数可以用耗散的塑性功与存储的塑性功的比率来解释。当耗散和存储的工作之间的划分不相等时，就会发生非相关行为。讨论了储存塑性功的微观解释。模型自动满足热力学定律，不需要调用任何稳定性假设。从理论上建立了峰值强度/剪胀关系的一些经典形式。计算了一些具有代表性的排水和不排水路径。版权所有©2002约翰威利父子有限公司
Modern ideas of thermomechanics are used to develop families of models describing the elastic/plastic behaviour of cohesionless soils deforming under triaxial conditions. Once the form of the free energy and dissipation potential functions have been specified, the corresponding yield loci, flow rules, isotropic and kinematic hardening rules as well as the elasticity law are deduced in a systematic manner. The families contain the classical linear frictional (Coulomb type) models and the classical critical state models as special cases. The generalized models discussed here include non‐associated flow rules, shear as well as volumetric hardening, anisotropic responses and rotational yield loci. The various parameters needed to describe the models can be interpreted in terms of ratio of the plastic work, which is dissipated, to that which is stored. Non‐associated behaviour is found to occur whenever this division between dissipated and stored work is not equal. Micro‐level interpretations of stored plastic work are discussed. The models automatically satisfy the laws of thermodynamics, and there is no need to invoke any stability postulates. Some classical forms of the peak‐strength/dilatancy relationship are established theoretically. Some representative drained and undrained paths are computed. Copyright © 2002 John Wiley & Sons, Ltd.