A mix hardening unified viscoplastic damage constitutive model for concrete

LIU Chang-chun; Lü He-xiang; GUAN Ping

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A mix hardening unified viscoplastic damage constitutive model for concrete

更新时间：2026-06-25

- A mix hardening unified viscoplastic damage constitutive model for concrete
- Vol. 29, Issue 11, (2008)
- 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,大连,116024
  2. 沈阳发动机设计研究所,沈阳,110015
  3. 大连大学,大连,116622
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：07 August 2013，
  
  Published：2008
- 稿件说明：
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LIU Chang-chun, Lü He-xiang, GUAN Ping. A mix hardening unified viscoplastic damage constitutive model for concrete[J]. 2008, 29(11).
DOI：

LIU Chang-chun, Lü He-xiang, GUAN Ping. A mix hardening unified viscoplastic damage constitutive model for concrete[J]. 2008, 29(11). DOI：

摘要

传统的黏塑性统一本构模型只能用于金属类材料的本构分析，而不适用于混凝土的本构分析。基于此，以不可逆热力学理论为基础，选定了涉及混合硬化参量的Helmholtz自由能函数，推导出混凝土的黏塑性损伤耦合本构模型。通过对混凝土硬化模型的分析，构造了含运动硬化和等向硬化内变量的非相关流动势函数，又推导出流动方程以及内变量演化方程。所建模型对混凝土试验曲线的数值模拟显示，其能够正确描述混凝土的率相关性、非弹性体积膨胀特性、加载过程的软硬化特性以及由断裂和损伤引起的应力软化现象。

Abstract

The tyaditional unified viscoplasticity constitutive model is only applied for the constitutive analysis of metallic materials. A coupled viscoplasticity damage constitutive model for concrete is developed within the framework of irreversible thermodynamics; and an expression for the Helmholtz free energy function involving the state variables of mix hardening is given. The hardening model of concrete is analyzed; and the flow equation and the evolution equations of the state variables are derived from a non-associated flow potential function including the state variables of kinematic hardening and isotropic hardening. The results of numerical simulation show that the represented model can reproduce the strain-rate sensitive characteristic

inelastic volume dilatancy

softenting-hardening under loading; and strain-softening induced by damages and fractures.

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