摘要
位移有限元方法应用于岩土工程数值计算时,常会遇到各种有限元病态问题,诸如材料极不均匀体、极端各向异性体、不可压缩或几乎不可压缩弹性体、板的“自锁”等有限元病态问题。研究目前岩土工程界提出的多种克服有限元病态问题的方法及各自的特点(如正则化方法、归一化方法及变刚度方法等)。通过平面杆件系统的有限元计算算例,分析和对比正则化方法、归一化方法和变刚度方法在解决有限元病态问题时的优劣性。
When the displacement finite element model is applied to numerical calculation in geotechnical engineering, ill-condition problems often occur. This paper comments on these problems such as extreme anisotropy, incompressible or nearly incompressible material as well as shear locking in plate, etc. and researches the characteristics and applicable situation of many methods to conquer ill-condition problems such as regularization, standardization and splitting elastic modules finite elements. By the example of calculating plane bar-system problems with finite element method, the advantages and disadvantages of regularization, standardization and splitting elastic modulus finite element method are analyzed and compared.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2006年第10期1969-1974,共6页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金资助项目(10372078)
国家自然科学基金重大研究计划重点项目(90510017)
关键词
岩土工程
有限元
病态问题
归一化方法
正则化方法
变刚度有限元方法
geotechnical engineering
finite elements
ill-conditioned problems ~ standardization
regularization
splitting elastic modulus finite element method
