摘要
对虚位移有限元法和伽辽金有限元法推导的Biot固结有限元方程进行了研究,详细讨论了位置高度z引起的荷载项(即位能),发现分别采用上述两种方法得到的位置高度z引起的荷载项不相等.采用伽辽金有限元法推导的Biot固结有限元方程的位能的物理力学概念明确,其位能项为浮力;而采用虚位移有限元法计算的位能的物理力学含义不明确,这在进行饱和土体的固结沉降分析时值得注意.
Based on analysis of virtual displacement FEM and Galerkin FEM for Biot consolidation, the load arisen by the altitude z is discussed. The load arisen by the altitude z is not equal using the two method above. The potential energy deduced by the Galerkin FEM is more rational; and potential energy is buoyant force. While the potential energy deduced by the virtual displacement FEM doesn't have physics concept. It must be noticed when analyzing saturated soil consolidation.
出处
《武汉大学学报(工学版)》
CAS
CSCD
北大核心
2008年第2期65-68,共4页
Engineering Journal of Wuhan University
基金
国家重点基础研究发展规划(973)项目(编号:2002CB412707)