A return-mapping algorithm and implementation of thermodynamics-based critical state model

SUN Xiang; GUO Xiao-xia; SHAO Long-tan

doi:10.16285/j.rsm.2015.S1.015

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A return-mapping algorithm and implementation of thermodynamics-based critical state model

更新时间：2026-06-25

- A return-mapping algorithm and implementation of thermodynamics-based critical state model
- Vol. 36, Issue S1, Pages: 85-93(2015)
- 作者机构：
  
  1. 大连理工大学工业装备结构分析国家重点实验室,辽宁,大连,116023
  2. 大连理工大学工程力学系,辽宁,大连,116023
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2015.S1.015
  CLC： O414.1
- Online First：14 June 2018，
  
  Published：2015
- 稿件说明：
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SUN Xiang, GUO Xiao-xia, SHAO Long-tan. A return-mapping algorithm and implementation of thermodynamics-based critical state model[J]. 2015, 36(S1): 85-93.
DOI：

SUN Xiang, GUO Xiao-xia, SHAO Long-tan. A return-mapping algorithm and implementation of thermodynamics-based critical state model[J]. 2015, 36(S1): 85-93. DOI： 10.16285/j.rsm.2015.S1.015.

摘要

相对于其他临界状态模型，基于热力学的临界状态（TCS）模型不需要引入塑性势假设，能够自动满足热力学定律。通过对TCS的修正，使其能够模拟初始K0固结的影响，利用了返回映射算法进行了TCS模型的ABAQUS本构二次开发，通过与ABAQUS内嵌的修正剑桥模型（MCC）计算结果的对比，证实了该程序的可靠性。对模型中的2个控制屈服面形状的参数进行了讨论，分析了它们对应力-应变关系与剪胀关系的影响，修改TCS模型参数可以实现非椭圆的屈服面，进而拓展了模型的适用范围，不同的参数对于屈服面形状和大小的影响也有所不同。同时还比较了采用考虑K0固结及旋转硬化的TCS模型与不考虑K0固结及旋转硬化的MCC模型所得到的应力-应变关系与剪胀关系的差异。对于真实土体，K0固结及旋转硬化是土体的基本力学特性。最后证明了TCS模型较MCC模型（模型中没有考虑旋转硬化与K0固结对硬化规律的影响）可以很好地模拟该特性，所以更加有效。

Abstract

Comparing to the other critical state model

the thermodynamics-based critical state (TCS) model can meet principle of the thermodynamics without introduction of plastic potential function. This model can be used to model the influence of K0 consolidation by modification of it. The return-mapping algorithm is utilized to conduct the redevelopment of TCS model in ABAQUS. The certification of this model can be given by the comparison with modified Cam-Clay (MCC) model offered by ABAQUS. Otherwise

the variation of the yield surface shape controlled by two parameters is discussed. The influence of these two parameters on the stress-strain relationship and dilatancy is also analyzed. The modification of parameter in TCS model can be used to describe non-ellipse yield surface extending available range of TCS model. Different parameters have different influences on the shape and size of yield surface. Meanwhile

it is shown that the stress-strain relationship and dilatancy are different between described by TCS model where the K0 consolidation and stress rotational hardening are considered and described by MCC model without consideration of them are shown. For the real soils

K0 consolidation and rotational hardening are basic mechanical properties of soils. This paper demonstrates that TCS model can be used to describe these features of soils compared with MCC model where the rotational hardening and K0 consolidation are not considered. So

it is more available.

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