Page 106 - 2025年第56卷第7期

Development and numerical implementation of a constitutive model for plastic concrete
incorporating damage effects

1 1，2 3 3

SAI DONG LA· Maxueyi ，CUI Wei ，JIANG Zhian ，ZHANG Baozeng

（1. State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation，Tianjin University，Tianjin 300072，China；

2. Key Laboratory of Earthquake Engineering Simulation and Seismic Resilience of China Earthquake Administration，Tianjin University，

Tianjin 300072，China；3. SINOHYDRO Foundation Engineering CO，LTD，Tianjin 301700，China）

Abstract：Plastic concrete，a unique material situated between soil and conventional concrete，exhibits hardening

characteristics before reaching peak strength. After failure，its deformation phenomena becomes increasingly com⁃
plex，displaying strain-softening effects influenced by confining pressure. To characterize the mechanical properties

of plastic concrete，a damage evolution equation is constructed based on indoor triaxial tests. This equation incorpo⁃
rates micro-cracks as the fundamental damage units，utilizing Weibull distribution theory alongside Lemaitre’ strain

s
equivalence principle. Additionally，an elastoplastic constitutive model is developed by combining the hardening soil

model with a damage evolution equation that accounts for damage effects. The new model is numerically implemented
using ABAQUS and its subroutines. Comparative analysis of simulation results with experimental data demonstrates
that the new model aligns well with experimental findings，capturing both pre-peak strain hardening characteristics

and the post-peak strain softening effects associated with varying confining pressures. The findings indicate that the
model accurately characterizes the mechanical behavior of plastic concrete.

Keywords：plastic concrete；damage effects；constitutive model；three parameter Weibull distribution；secondary

development
（责任编辑：尹 婧 韩 昆）
（上接第 919 页）
Systematic accounting system for ecosystem service value of water conservancy projects
1，2 1，2 1，2 1，2 3

FU Yicheng ，ZHANG Jian ，ZHAO Jinyong ，ZHANG Chunling ，SHI Junbao
（1. State Key Laboratory of Water Cycle and Water Security，China Institute of Water Resources and Hydropower Research，Beijing

100038，China；2. Key Laboratory of Water Safety for Beijing-Tianjin-Hebei Region of Ministry of Water Resources，

Beijing 100038，China；3. Water Affairs Center of Guangyang District，Langfang City，Langfang 065000，China）

Abstract：To scientifically assess the ecological service value of water conservancy projects and promote their social⁃

ized application，this study constructed a system integrity-oriented value assessment system based on the characteris⁃
tics of composite systems and by incorporating the principles of structural integrity and functional diversity. This
system employs a spatio-temporal coupling method to classify and quantify service values，combines land use change

analysis to reveal the correlation between its spatial patterns and engineering impacts，and introduces a bargaining

dynamic equilibrium game model to quantify the equilibrium solution for ecological compensation and its value real⁃
ization pathway. The systematic accounting system enables the comprehensive and dynamic quantification of the ESV
of water conservancy projects and the visualization of their spatial distribution characteristics，elucidating spatio-

temporal differentiation patterns under engineering impacts and providing a quantitative basis for the design of eco⁃
logical compensation mechanisms. The research findings can provide scientific support for the comprehensive assess⁃
ment of the ecological system benefits of water conservancy projects and the coordinated management of watershed
water resources and the ecological environment.

Keywords：ecological service value of water conservancy projects；systematic accounting；land use change；ecologi⁃

cal compensation
（责任编辑：李 娜）
— 932 —