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Generalized non-linear strength theory and transformed stress space

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Abstract

Based on the test data of frictional materials and previous research achievements in this field, a generalized non-linear strength theory (GNST) is proposed. It describes non-linear strength properties on the π-plane and the meridian plane using a unified formula, and it includes almost all the present non-linear strength theories, which can be used in just one material. The shape of failure function of the GNST is a smooth curve between the SMP criterion and the Mises criterion on the π-plane, and an exponential curve on the meridian plane. Through the transformed stress space based on the GNST, the combination of the GNST and various constitutive models using p and q as stress parameters can be realized simply and rationally in three-dimensional stress state.

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Correspondence to Yao Yangping.

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Yao, Y., Lu, D., Zhou, A. et al. Generalized non-linear strength theory and transformed stress space. Sci. China Ser. E-Technol. Sci. 47, 691–709 (2004). https://doi.org/10.1360/04ye0199

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  • DOI: https://doi.org/10.1360/04ye0199

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