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| ANALYSIS OF YIELD FUNCTIONS OF MARBLE UNDER DIFFERENT LOADING AND UNLOADING STRESS PATHS |
| ZHANG Liming1，2，GAO Su1，WANG Zaiquan1，KONG Liang1 |
(1. College of Science，Qingdao Technological University，Qingdao，Shandong 266033，China；2. Co-operative Innovation Center of Engineering Construction and Safety in Shandong Peninsula Blue Economic Zone，Qingdao Technological University，
Qingdao，Shandong 266033，China) |
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Abstract Conventional triaxial experiments and unloading experiments of marble were carried out. The forms of yielding functions on the meridian plane were discussed under different loading and unloading stress paths. According to the generalized theory of plastic mechanics，the mathematical expressions of the yielding surface of shearing in q direction and the volumetric yielding surface in p direction were given. Results show that the yielding surface for shearing was linear under the loading stress path, was a parabola under the unloading stress path. The volume of the marble samples dilated under both the loading and unloading stress paths. The volumetric yielding surface was divided into the compression stage and the expansion stage. The volumetric yielding surface of marble under the loading stress path made up by two linear segments and under the unloading stress path was a parabola. The yield function determined according to the test results reflected the impact of the stress path changes and the anisotropy of rock and avoided the disadvantages of assumed ones. The plastic shear strain and plastic volume strain increased faster under the unloading stress path than under the loading path. The subsequent yield surface developed to the limit yield surface very quickly. These results illustrate that the unloading failure occurring more suddenly.
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Received: 28 October 2013
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2014, Vol. 33 
