煤矿开采
煤礦開採
매광개채
COAL MINING TECHNOLOGY
2014年
3期
4-8
,共5页
弹塑性%塑性软化%煤柱%稳定性%Drucker Prager准则
彈塑性%塑性軟化%煤柱%穩定性%Drucker Prager準則
탄소성%소성연화%매주%은정성%Drucker Prager준칙
elastic and plastic%plastic softening%coal-pillar%stability%Drucker-Prager criterion
为了确定煤柱的承载能力，计算过程中忽略了煤柱自身重力和煤柱顶底板的限制，将煤柱的承载能力分析简化为材料的承载能力分析。煤柱的黏聚力随塑性体应变按高斯函数变化，煤柱破坏符合Drucker-Prager准则，其强度参数由Mohr-Coulomb强度参数表达，表达方式按Drucker-Prager圆过Coulomb六边形外顶点模式。利用经典弹塑性理论，对煤柱本构关系进行推导和简化，在数值积分的帮助下得到精确解。同时采用软化材料有限元对煤柱承载能力进行模拟，模拟结果与精确解吻合较好。通过研究得到了分析具有弹塑性软化特点的煤柱的承载能力的数值算法，也可以作为相应计算机程序的测试算例。
為瞭確定煤柱的承載能力，計算過程中忽略瞭煤柱自身重力和煤柱頂底闆的限製，將煤柱的承載能力分析簡化為材料的承載能力分析。煤柱的黏聚力隨塑性體應變按高斯函數變化，煤柱破壞符閤Drucker-Prager準則，其彊度參數由Mohr-Coulomb彊度參數錶達，錶達方式按Drucker-Prager圓過Coulomb六邊形外頂點模式。利用經典彈塑性理論，對煤柱本構關繫進行推導和簡化，在數值積分的幫助下得到精確解。同時採用軟化材料有限元對煤柱承載能力進行模擬，模擬結果與精確解吻閤較好。通過研究得到瞭分析具有彈塑性軟化特點的煤柱的承載能力的數值算法，也可以作為相應計算機程序的測試算例。
위료학정매주적승재능력，계산과정중홀략료매주자신중력화매주정저판적한제，장매주적승재능력분석간화위재료적승재능력분석。매주적점취력수소성체응변안고사함수변화，매주파배부합Drucker-Prager준칙，기강도삼수유Mohr-Coulomb강도삼수표체，표체방식안Drucker-Prager원과Coulomb륙변형외정점모식。이용경전탄소성이론，대매주본구관계진행추도화간화，재수치적분적방조하득도정학해。동시채용연화재료유한원대매주승재능력진행모의，모의결과여정학해문합교호。통과연구득도료분석구유탄소성연화특점적매주적승재능력적수치산법，야가이작위상응계산궤정서적측시산례。
Ab stract: Bearing capacity of coal-pillar was simplified as that of material by neglecting weight and restriction of roof and floor.Cohesion of coal-pillar varied with plastic strain by Gauss function.Coal-pillar damage met Drucker-Prager criterion and its strength parameters were expressed with Mohr-Coulomb criterion.Applying typical elastic and plastic theory , constitutive relationship of coal -pillar was deduced and simplified.Accuracy solution was obtained by numerical integral.Bearing capacity of coal-pillar was simula-ted with finite element of softening material , simulation result was accordance with solution.Thus , numerical algorithm of coal-pillar's bearing capacity was obtained , which could be as test examples of corresponding computer program.
