Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 46, Issue 11-12, Pages 2407-2419Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.01.024
Keywords
Damage mechanics; Stochastic model; Energy equivalent strain; Concrete; Plastic model
Categories
Funding
- National Science Foundation of China for Innovative Research Groups [50621062, 50321803, 90715033]
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Starting with the framework of conventional elastoplastic damage mechanics, a class of stochastic damage constitutive model is derived based on the concept of energy equivalent strain. The stochastic damage model derived from the parallel element model is adopted to develop the uniaxial damage evolution function. Based on the expressions of damage energy release rates (DERRs) conjugated to the damage variables thermodynamically, the concept and its tensor formulations of energy equivalent strain is proposed to bridge the gap between the uniaxial and the multiaxial constitutive models. Furthermore, a simplified coupling model is proposed to consider the evolution of plastic strain. And the analytical expressions of the constitutive model in 2-D are established from the abstract tensor expression. Several numerical simulations are presented against the biaxial loading test results of concrete, demonstrating that the proposed models can reflect the salient features for concrete under uniaxial and biaxial loading conditions. (C) 2009 Elsevier Ltd. All rights reserved.
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