Chapter
Apr 26, 2012
Gradient-Dependent Damage Constitutive: The Second-Order Gradient Damage Model
Authors: Bing Zhao [email protected], Ying-ren Zheng, Ming-hua Zeng, Xue-song Tang, and Xiao-Qiang YanAuthor Affiliations
Publication: Characterization, Modeling, and Performance of Geomaterials: Selected Papers From the 2009 GeoHunan International Conference
Abstract
When the strain tensor, the scalar damage quantity and the Laplacian thereof serve as the state variables of Helmholtz free energy, the general expressions of elasticity-gradient damage constitutive equations are derived directly from the basic law of irreversible thermodynamics by constitutive functional expansion method at the initial state. When damage variable equals to zero, the expressions can be simplified to linear elastic constitutive equations, when the damage gradient vanishes, the expressions can be simplified to the classical damage constitutive equations based on the strain equivalence hypothesis.
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Published In
Characterization, Modeling, and Performance of Geomaterials: Selected Papers From the 2009 GeoHunan International Conference
Pages: 26 - 32
Copyright
© 2009 American Society of Civil Engineers.
History
Published online: Apr 26, 2012
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ASCE Technical Topics:
- Constitutive relations
- Continuum mechanics
- Deformation (mechanics)
- Elastic analysis
- Energy methods
- Engineering fundamentals
- Engineering mechanics
- Geomechanics
- Geotechnical engineering
- Linear functions
- Material mechanics
- Materials engineering
- Mathematical functions
- Mathematics
- Soil mechanics
- Soil properties
- Soil stress
- Soils (by type)
- Solid mechanics
- Strain
- Structural analysis
- Structural engineering
- Structural mechanics
- Thermodynamics
- Unsaturated soils
Authors
Affiliations
School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, China and Department of Architectural Engineering, Logistic Engineering University of PLA, Chongqing, China. E-mail: [email protected]
Ying-ren Zheng
Department of Architectural Engineering, Logistic Engineering University of PLA, Chongqing, China
Ming-hua Zeng
School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, China
Xue-song Tang
Department of Architectural Engineering, Logistic Engineering University of PLA, Chongqing, China
Xiao-Qiang Yan
School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, China and School of Mathematics and Computer Science, Ningxia University, Yinchuan, China
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