A new type of shear stress model-hyperbolic mechanical model
GAN Fei1，2，YE Xiaoming3，ZHENG Gang2，LEI Huayang2，LI Meilin1，XIAO Yang3
(1. School of Civil Engineering，Guizhou University，Guiyang，Guizhou 550025，China；2. School of Civil Engineering，Tianjin University，Tianjin 300072，China；3. School of Civil Engineering，Chongqing University，Chongqing 400045，China)
Abstract：In order to describe the mechanical behavior of geo-materials accurately and conveniently，the resistance of geotechnical materials is divided into generalized bonding force and friction force based on the failure mechanism of rock and soil shear plane. The method of combining theoretical analysis with experiment is adopted in this paper. A hyperbolic function is proposed to describe the alternative actions of the cohesive force and friction based on their out-of-sync feature. A new type of hyperbolic mechanics model is established based on the Mohr-coulomb strength theory. Physical meaning of the model parameters are discussed as well as their determination method. The critical deformation value of geotechnical material can be estimated by the proposed model. The proposed model has clear meaning and simple structure，and can describe most of the mechanical behavior characteristics of geomaterials，such as elasto-brittle，ideal elasto-plastic，elasto-plastic hardening and elasto-plastic softening material behavior characteristics，especially for the strain softening characteristics of materials after failure. Finally，the stress-deformation data obtained from shear tests on red clay and the contact surface between red clay and steel plate were used to verify the model，and the consistent results were obtained.
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2021, Vol. 40 
