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9 December 2021 Discussion on lode angle in advanced soil mechanics
Enyang Zhu, Yukun Chen, Yihe Wang
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Proceedings Volume 12030, Third International Conference on Optoelectronic Science and Materials (ICOSM 2021); 120301I (2021) https://doi.org/10.1117/12.2619908
Event: Third International Conference on Optoelectronic Science and Materials (ICOSM 2021), 2021, Hefei, China
Abstract
Considering the losing of Lode angle factor in the transformation from three-dimensional strain to two-dimensional strain, calculations of some variables are not allowed to transform directly from three-dimension to two-dimension. The mathematical meaning of the incremental expression of the generalized shear strain is analyzed firstly. Then the problem of the addition of the elastic and plastic generalized shear strain increments and the problem of the superposition calculation of plastic work are discussed. The analysis indicates that: only if the plastic strains develop with constant strain Lode angle, the elastic and plastic generalized shear strain increments are addictive. And only if the Lode angle of the stress consists with that of the plastic strain increment, the superposition calculation of plastic work increment in two-dimensional expression is reasonable.
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Enyang Zhu, Yukun Chen, and Yihe Wang "Discussion on lode angle in advanced soil mechanics", Proc. SPIE 12030, Third International Conference on Optoelectronic Science and Materials (ICOSM 2021), 120301I (9 December 2021); https://doi.org/10.1117/12.2619908
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KEYWORDS
Mechanics
Civil engineering
Mathematical modeling
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