Abstract
In the light of matrix theory, the character of stress increment which causes the rotation of principal stress axes is analysed and the general stress increment is decomposed into two parts: coaxial part and rotational part. Based on these, the complex three dimensional (3-D) problem involving the rotation of principal stress axes is simplified to the combination of the 3-D coaxial model and the theory about pure rotation of principal stress axes that is only around one principal stress axes. The difficulty of analysis is reduced significantly. The concrete calculating method of general 3-D problem is provided and other applications are also presented.
Similar content being viewed by others
References
Zheng Yingren and Gong Xiaolan.The Basis of Plastic Mechanic of Rock and Soils, Beijing: Press of Chinese Architectural Industry (1990). (in Chinese)
Ying Zhongzhe, A stress-strain model of double yield surface of soils,Chinese Journal of Geotechnical Engineering,10, 4 (1988), 64–71. (in Chinese)
H. Matasuoka, et al., A constitutive model for sands and clay evaluating principal stress rotation,Soils and Foundations,27, 4 (1987), 73–88.
F. Miaru, S. Toki, et al., Deformation prodiction for anisotropic sand during the rotation of principal stress axes,Soils and Foundations,26, 3 (1986), 42–56.
Sheng Zhujiung, A new stress-strain model of soils, edited by Luo Zhaojuan, et al.,The 5th Chinese Conference of Soils Mechanics and Foundation Engineering, Beijing: Press of Chinese Architectural Industry (1987), 101–105. (in Chinese)
Zheng Yingren and Yan Dijun, Muti-yield surface model for soils on the basis of test fitting, edited by Zheng Yingren, et al.,The 5th Chinese Conference of Numerical and Analysis Method in Geomechanics, Wanhan: Press of Wanhan Science and Technical University of Surveying (1994), 9–14. (in Chinese)
Chen Shengshui, Shen Zhujiang, et al., An elastoplastic model for cohesionless soils under complex stress paths,Chinese Journal of Geotechnical Engineering,17, 2 (1995), 20–28. (in Chinese)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yuanxue, L., Yingren, Z. & Zhenghan, C. The general stress strain relation of soils involving the rotation of principal stress axes. Appl Math Mech 19, 437–444 (1998). https://doi.org/10.1007/BF02457786
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02457786