Quasi-micromechanical constitutive theory for brittle damaged materials under tension |
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Authors: | Feng Xiqiao and Yu Shouwen |
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Institution: | (1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
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Abstract: | One of fundamental but difficult problems in damage mechanics is the formulation of the effective constitutive relation of
microcrack-weakened brittle or quasi-brittle materials under complex loading, especially when microcrack interaction is taken
into account. The combination of phenomenological and micromechanical damage mechanics is a promising approach to constructing
an applicable damage model with a firm physical foundation. In this paper, a quasi-micromechanical model is presented for
simulating the constitutive response of microcrack-weakened materials under complex loading. The microcracking damage is characterized
in terms of the orientation domain of microcrack growth (DMG) as well as a scalar microcrack density parameter. The DMG describes
the complex damage and its evolution associated with microcrack growth, while the scalar microcrack density factor defining
the isotropic magnitude of damage yields an easy calculation of the effects of microcrack interaction on effective elastic
moduli.
Project supported by the National Natural Science Foundation of China (19891180). |
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Keywords: | constitutive relation quasi-micromechanical model brittle material microcracking microcrack interaction |
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