Smoothed Classic Yield Function for C2 Continuities in Tensile Cutoff, Compressive Cap, and Deviatoric Sections
Publication: International Journal of Geomechanics
Volume 21, Issue 3
Abstract
In elastoplastic analyses, a yield function needs convexities and C1 continuities, to meet the requirement of return mapping algorithms. However, many classic criteria in geotechnical engineering have shortages: either numerical issues (nonconvexity and gradient discontinuities) or insufficient physical properties (lack of tensile strength and compressive cap). To overcome these deficiencies, a smoothed classic (SC) yield function is proposed after combining the generalized classic yield function, a robust smoothing technique, and investigations on physical meanings. It can reflect general soil properties, including basic shear strength, tensile strength, compressive cap, and the impact of intermediate principal stress. The yield function is convex and C2 continuous; therefore, it avoids many numerical issues in describing general strength behavior. In addition, it can provide a close approximation to the Mohr–Coulomb criterion to avoid discontinuous gradients. Formulas for the gradient, the Hessian, and the calibration procedure are provided.
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Data Availability Statement
Sample codes are provided at https://github.com/NingZhangQh/SC-yield-function.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (Grant No. 51979002).
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Published In
International Journal of Geomechanics
Volume 21 • Issue 3 • March 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Apr 6, 2020
Accepted: Sep 5, 2020
Published online: Jan 7, 2021
Published in print: Mar 1, 2021
Discussion open until: Jun 7, 2021
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