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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics and mechanics 17 (1996), S. 549-554 
    ISSN: 1573-2754
    Keywords: seepage flow ; variational inequality ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The free boundary of the seepage flow is a problem of close consideration in engineering. So far, an estimation of the wet set region usually needs a priori before the numerical analysis, and the configuration of the free boundary is then obtained by successive approximation. The authors of this paper benefit from a new mathematical expression—The Variational Inequality—to formulate the free boundary problem, which is then solved by the finite element method. Instead of the conventional way of discretization, here the finite element mesh is generated in the entire domain of the studied media and the free boundary of the seepage region can be defined directly without any process of iteration. The investigation gives a new effective scheme for the seepage flow analysis.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics and mechanics 20 (1999), S. 807-811 
    ISSN: 1573-2754
    Keywords: seepage ; non-steady state ; variational inequality ; O357.3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract Along with the vigorous developing construction, the number of various underground engineerings is greatly increasing, such as the foundations of dams and high-rised multistored hauses, the subways and the tunnels, the water and oil wells etc., where the close attention is always paid to the seepage behaviour in the media around the structures. The variational inequality formulation and its FEM solution for the free boundary problem of 2D steady state seepage flow was given by She Yinghe et al. In this paper, a further investigation is made on the non-steady state seepage problem, by taking the seepage flow of wells as an example. The presented approach—variational inequality and its FEM solution—is also very beneficial to the non-steady state problems, where the transient free boundary can also be defined directly without conventional iterations.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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