岩土体复合幂–指数非线性模型

doi:10.13722/j.cnki.jrme.2016.0634

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Abstract In the past，the stress-strain curve of rock and soil can only be described by using the different mathematical models according to its morphological type，and the description of corresponding volume deformation curve is very rare. In order to realize a unified mathematical model for the description of different stress-strain curves and volume deformation curves，a new nonlinear model called as the composite power exponential model(CPE model for short) is presented by analysing the characteristics of power function and exponential function. The determining method of each parameter is also proposed. The structural loess is studied experimentally and the curves of measured stress-strain and the volume deformation from triaxial tests with different water contents and different confining pressures are fitted by CPE model. The variation law of each parameter is analyzed. For unsaturated undisturbed loess，the CPE model of stress-strain curve of strain softening which considers water content and that of strain hardening which considers confining pressure are obtained respectively. The CPE model of volume deformation curve of shear contraction which considers confining pressure is obtained，too. The calculated curves using the above CPE models are compared with the measured ones. The result shows that the CPE model has extensive adaptability and high accuracy，which can describes the stress-strain curves of softening and hardening of different degrees and the volume deformation curves of shear expansion or shear contraction. The CPE model provides a unified mathematical model for stress-strain curves and volume deformation curve of different forms.

Key words： soil mechanics stress-strain curve volume deformation curve composite model

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	Articles by authors
	WANG Liqin1
	2
	LU Zhonggang1
	SHAO Shengjun1
	2

Cite this article:

WANG Liqin1,2,LU Zhonggang1, et al. A composite power exponential nonlinear model of rock and soil[J]. , 2017, 36(5): 1269-1278.

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2016.0634 OR http://www.rockmech.org/EN/Y2017/V36/I5/1269

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