A Phenomenological Model of Brittle Rocks under Uniaxial Compression

Abstract

See, stats, and : https : // www. researchgate. net/ publication / 282234943 A under Article DOI : 10 . 15273 / ijge . 2015 . 02 . 007 CITATIONS 2 READS 307 5 , including : Some : Geological A (NSERC) View Jun Wuhan 21 SEE M . Cai Laurentian 102 , 120 SEE Manchao China , Beijin… 170 , 490 SEE Chuangbing Nanchang 261 , 511 SEE All . The . Abstract : A quantitative model was recently proposed by Peng et al (2015) to characterize the crack closure behavior of rocks . The model can simulate the initial nonlinearity of stress – strain curves in uniaxial and triaxial compressions . However , the crack propagation behavior near peak and in the post - peak deformation stage cannot be captured by the model . This paper extends the model to simulate the complete stress – strain curves of rocks under uniaxial compression . A phenomenological damage model , which uses a logistic function to describe the damage evolution , is adopted to model the pre - peak and post - peak deformation stages beyond the crack closure stage . Combining the crack closure model and the damage model yields a new phenomenological model . A uniform continuity condition is used to ensure that the stress – strain curve is smooth and continuous at the junction point of the crack closure model and the damage model . The proposed model has four model parameters , which can be calibrated using laboratory test data . The uniaxial compression tests of the Carrara marble under different heating cycles are simulated to verify the proposed model . The simulated stress – strain curves agree well with the test data , from initial crack closure to near peak and post peak , suggesting that the model can be used for simulating the entire deformation stage of brittle rocks with different degrees of initial microcrack damage .