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线弹性问题局部稳定化混合有限元方法的分析
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作者 周天孝 周磊 《工程数学学报》 CSCD 1995年第4期1-6,共6页
本文中分析了线弹性问题的一种局部稳定化的混合有限元方法,引入了一种“宏元条件”。当该条件被满足时,我们对Q1-P0四边形单元和P1-P0三角形单元得到了该方法关于可压缩性一致的误差估计。
关键词 混合有限元 线弹性问题 稳定 局部稳定化
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Oseen方程的一种新的局部投影稳定化方法 被引量:4
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作者 白艳红 冯民富 王川龙 《应用数学和力学》 CSCD 北大核心 2010年第11期1360-1371,共12页
对Oseen方程提出一种新的局部投影稳定化有限元方法,并且速度和压力采用inf-sup稳定的非协调有限元空间逼近.局部投影稳定化项仅加在子网格上(H≥h);与RFB方法相比,该方法稳定性项简单,并且可以克服对流占优.最后,通过实验证明,数值结... 对Oseen方程提出一种新的局部投影稳定化有限元方法,并且速度和压力采用inf-sup稳定的非协调有限元空间逼近.局部投影稳定化项仅加在子网格上(H≥h);与RFB方法相比,该方法稳定性项简单,并且可以克服对流占优.最后,通过实验证明,数值结果和理论结果完全一致. 展开更多
关键词 Oseen方程 局部投影稳定化方法 CROUZEIX-RAVIART元
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Geotechnical stability analysis considering strain softening using micro-polar continuum finite element method 被引量:6
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作者 CHEN Xi WANG Dong-yong +2 位作者 TANG Jian-bin MA Wen-chen LIU Yong 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第1期297-310,共14页
Geotechnical stability analyses based on classical continuum may lead to remarkable underestimations on geotechnical safety.To attain better estimations on geotechnical stability,the micro-polar continuum is employed ... Geotechnical stability analyses based on classical continuum may lead to remarkable underestimations on geotechnical safety.To attain better estimations on geotechnical stability,the micro-polar continuum is employed so that its internal characteristic length(lc)can be utilized to model the shear band width.Based on two soil slope examples,the role of internal characteristic length in modeling the shear band width of geomaterial is investigated by the second-order cone programming optimized micro-polar continuum finite element method.It is recognized that the underestimation on factor of safety(FOS)calculated from the classical continuum tends to be more pronounced with the increase of lc.When the micro-polar continuum is applied,the shear band dominated by lc is almost kept unaffected as long as the adopted meshes are fine enough,but it does not generally present a slip surface like in the cases from the classical continuum,indicating that the micro-polar continuum is capable of capturing the non-local geotechnical failure characteristic.Due to the coupling effects of lc and strain softening,softening behavior of geomaterial tends to be postponed.Additionally,the bearing capacity of a geotechnical system may be significantly underestimated,if the effects of lc are not modeled or considered in numerical analyses. 展开更多
关键词 slope stability strain localization non-local geotechnical failure micro-polar continuum internal characteristic length
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