Open Access
ARTICLE
An Equivalent Strain Based Multi-Scale Damage Model of Concrete
Shixue Liang1, *, Hankun Liu2
1 School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou, 310018, China.
2 Sichuan Institute of Building Research, Chengdu, 610081, China.
* Corresponding Author: Liang Shixue. Email: .
(This article belongs to this Special Issue: Numerical Modeling and Simulation for Structural Safety and Disaster Mitigation)
Computer Modeling in Engineering & Sciences 2020, 122(3), 1015-1038. https://doi.org/10.32604/cmes.2020.07799
Received 30 June 2019; Accepted 23 August 2019; Issue published 01 March 2020
Abstract
A multi-scale damage model of concrete is proposed based on the concept of
energy equivalent strain for generic two- or three-dimensional applications. Continuum
damage mechanics serves as the framework to describe the basic damage variables,
namely the tensile and compressive damage. The homogenized Helmholtz free energy is
introduced as the bridge to link the micro-cell and macroscopic material. The crack
propagation in micro-cells is modeled, and the Helmholtz free energy in the cracked
micro-structure is calculated and employed to extract the damage evolution functions in
the macroscopic material. Based on the damage energy release rates and damage
consistent condition, the energy equivalent strain is used to expand the uniaxial damage
model to the multi-dimensional damage model. Agreements with existing experimental
data that include uniaxial tensile and compressive tests, biaxial compression and biaxial
peak stress envelop demonstrate the capacity of the multi-scale damage model in
reproducing the typical nonlinear performances of concrete specimens. The simulation of
precast laminated concrete slab further demonstrates its application to concrete structures.
Keywords
Cite This Article
Liang, S., Liu, H. (2020). An Equivalent Strain Based Multi-Scale Damage Model of Concrete.
CMES-Computer Modeling in Engineering & Sciences, 122(3), 1015–1038.
Citations