{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:14:42Z","timestamp":1753884882931,"version":"3.41.2"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,7,10]],"date-time":"2019-07-10T00:00:00Z","timestamp":1562716800000},"content-version":"vor","delay-in-days":190,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key R&D Program of China","award":["2017YFC0602901"],"award-info":[{"award-number":["2017YFC0602901"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Advances in Civil Engineering"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>For the stability of the intervening pillar of the sublevel drilling open\u2010stope subsequent filling mining method, the multifactor stability mechanical model of the intervening pillar under two different constraint conditions (Model 1 and Model 2) was established based on the elastic thin plate theory. Then, the cusp catastrophe equation and the necessary and sufficient conditions for the instability of the intervening pillar under two different constraint conditions were obtained by using the cusp catastrophe theory. Furthermore, the minimum thickness formula for the intervening pillar without instability under two different constraint conditions was derived, and the relationships between the minimum thickness of the intervening pillar and the factors, including the depth of the stope, the inclination of the orebody, the thickness of the orebody, the height of the stage, the length of the stope, and the mechanical properties of the orebody, were analyzed. Finally, the formula was used in the design of an intervening pillar between stopes 4\u20101 and 4\u20102 in Panlong Lead\u2010Zinc Mine. The designed thickness of the pillar was 6.01\u2009m by calculation, its actual thickness was 6.35\u20137.25\u2009m in the mining process, and its average thickness was 6.5\u2009m. Compared with the previously designed thickness of 7\u20108\u2009m at the same stage, the pillar was 0.5\u20131.5\u2009m smaller, which more effectively improved the recovery rate of the ore under the premise of ensuring the stability of the intervening pillar. This example of industrial application proves that it is feasible to use the cusp catastrophe theory to analyze the stability and parameter design of the intervening pillar under different constraints.<\/jats:p>","DOI":"10.1155\/2019\/8253589","type":"journal-article","created":{"date-parts":[[2019,7,10]],"date-time":"2019-07-10T23:32:36Z","timestamp":1562801556000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Determination of Intervening Pillar Thickness Based on the Cusp Catastrophe Model"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0994-3828","authenticated-orcid":false,"given":"Shaowei","family":"Ma","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8812-8647","authenticated-orcid":false,"given":"Zhouquan","family":"Luo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1293-6829","authenticated-orcid":false,"given":"Jianhua","family":"Hu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9814-834X","authenticated-orcid":false,"given":"Qifan","family":"Ren","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0733-9600","authenticated-orcid":false,"given":"Yaguang","family":"Qin","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4743-1177","authenticated-orcid":false,"given":"Lei","family":"Wen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,7,10]]},"reference":[{"key":"e_1_2_10_1_2","first-page":"3865","article-title":"Optimization of stope width of inclined medium thick ore body","volume":"46","author":"Luo Z.","year":"2015","journal-title":"Journal of Central South University (Science and Technology)"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11771\u2010017\u20103515\u20108"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00603\u2010005\u20100078\u2010z"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11771\u2010014\u20102307\u20107"},{"key":"e_1_2_10_5_2","first-page":"261","article-title":"Stope structural parameters of panel isolation pillar numerical optimization","volume":"29","author":"Luo Z.","year":"2012","journal-title":"Journal of Mining and Safety Engineering"},{"key":"e_1_2_10_6_2","first-page":"2370","article-title":"Mechanical model analysis of consolidated filling pillar using stage-delayed backfill in metal mines","volume":"36","author":"Cao S.","year":"2015","journal-title":"Rock and Soil Mechanics"},{"key":"e_1_2_10_7_2","first-page":"933","article-title":"Stope parameters optimization of level afterwards back-filling approach with medium-deep hole caving","volume":"49","author":"Lan M.","year":"2018","journal-title":"Journal of Central South University (Science and Technology)"},{"key":"e_1_2_10_8_2","first-page":"578","article-title":"Stope parameters optimization of non-pillar long hole retreat caving","volume":"37","author":"Wang W.","year":"2016","journal-title":"Journal of Northeastern University (Natural Science)"},{"key":"e_1_2_10_9_2","first-page":"48","article-title":"Orthogonal polar difference analysis for sensitivity of the factors influencing the ore pillar stability","volume":"37","author":"Yin S.","year":"2012","journal-title":"Journal of China Coal Society"},{"volume-title":"Catastrophe Theory and Its Application","year":"1988","author":"Ling F.","key":"e_1_2_10_10_2"},{"volume-title":"Catastrophe Theory for Scientists and Engineers","year":"1993","author":"Gilmore R.","key":"e_1_2_10_11_2"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/bs.3830260107"},{"key":"e_1_2_10_13_2","unstructured":"BurneckiK. 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