摘要
对Signorini型变分不等式方法定义的罚Heaviside函数进行了改进,建立了自适应罚Heaviside函数,从而使Signorini型变分不等式方法的数值稳定性进一步得到改善,网格依赖性进一步得到克服。通过将Signorini型变分不等式方法应用于深圳市公明水库坝区渗流分析,论证了Signorini型变分不等式方法在复杂强非线性三维渗流问题中的适用性。
The penalized Heaviside function associated with the discrete variational inequality formulation of Signorini type is improved,and an adaptive form of the penalized Heaviside function is suggested to further improve numerical stability and overcome mesh dependence of the variational inequality approach of Signorini type. The suggested approach is applied to seepage analysis of the dam site of Gongming Reservoir,Shenzhen,and the effectiveness of the variational inequality approach of Signorini type for complex three-dimensional seepage problems with strong nonlinearity is validated.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2007年第S1期178-182,共5页
Rock and Soil Mechanics
基金
国家自然科学基金项目资助(No.50539100
50639100)
教育部科学技术研究重点项目(No.106157)
