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Abstract The elastic and elasto-plastic stages of rock are very difficult to be separated precisely and few of data in failure stage has been measured. To establish a model，fitting the P-S curve of rock bolts at large and affected little by the data at failure and the elastic stages，is therefore very important for the prediction of the ultimate bearing capacity of rock bolts with higher accuracy. After analysis of the hyperbolic，index and the power function，a general model was put forward to simulate the load and displacement curve of rock bolts(shorted for P-S curve). According to the actual P-S curve(through the origin，non-negative bounded，monotone increasing，infinite convergence and convex)，a mathematical function for P-S curve of rock bolts based on the general model was established. The exponential function model was revised and the hyperbola model were adjusted so that，a mixed function model was established. The application of the mixed function model simulated the P-S curve and the ultimate bearing capacity of rock bolts with higher accuracy.
Key words：geotechnical engineering；rock bolt P-S curve；mixed function model of improved exponential and power function；the ultimate bearing capacity of rock bolt
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2015, Vol. 34 
