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含损伤演化的TM耦合数值模型及其应用研究
引用本文:蔡坤,张洪武,陈飙松.含损伤演化的TM耦合数值模型及其应用研究[J].力学学报,2006,38(4):505-513.
作者姓名:蔡坤  张洪武  陈飙松
作者单位:大连理工大学工业装备结构分析国家重点实验室,工程力学系,116024
基金项目:国家自然科学基金重大项目(50490274),国家自然科学基金项目(50374020)资助.
摘    要:基于生物力学中的Wolff法则,发展了一种连续体拓扑优化的新方法. 有待优化的结构 被看作是一块遵从Wolff法则生长的骨骼,把寻找其最优拓扑的过程比拟为骨骼的重建/生 长过程. 采用骨骼的重建/生长规律作为准则更新材料分布,直至达到一个平衡状态并由此 获得结构的最优拓扑. 算例表明了所提出方法的有效性.

关 键 词:岩石破裂  非均匀性  损伤  热应力  数值模拟
文章编号:0459-1879(2006)04-0505-09
收稿时间:2005-09-16
修稿时间:2006-04-01

Wolff's law based topology optimization for continuum structure
Cai Kun,Zhang Hongwu,Chen Biaosong.Wolff''s law based topology optimization for continuum structure[J].chinese journal of theoretical and applied mechanics,2006,38(4):505-513.
Authors:Cai Kun  Zhang Hongwu  Chen Biaosong
Institution:1.Center for Rock Instability and Seismicity Research, Northeastern University, Shenyang 110004, China;2.School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China;3.Lulea University of Technology, SE-971 87 Lulea Sweden
Abstract:Based on the heterogeneous characteristics of rock at mesoscopic level, the thermal-mechanical coupled behavior during the failure process of rock subjected to thermal stress is analyzed with elastic damage mechanics and thermal-elastic theory. A mesoscopic thermal-mechanical (TM Model) coupling model, implemented in RFPA, is proposed, which can be used to study the damage and failure process, as well as elastici stresses for the coupled thermo-mechanical rock problem. With the numerical model, the damage and associated mechanical property evolution of mesoscopic structure in rocks subjected to TM loading can be analyzed. Numerical simulation is carried out to investigate the stability of the rock pillar in a Hard Rock Laboratory. The numerically obtained stress field, failure pattern of pillar rock and associated AE events all agree well with the in-situ data, which shows that the proposed model is reasonable and effective, and may provide guides for the experiment design and associated applications.
Keywords:rock failure  heterogeneity  damages  thermal stress  numerical simulation
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