地基非线性波动问题中黏-弹性人工边界研究

建立了考虑地基动力非线性效应的波动模拟的二维和三维黏-弹性人工边界条件。引入考虑动力非线性特征的土体等效线性模型中的动模量变化模式，推导了新的平面内法向、平面内切向以及出平面切向的黏-弹性人工边界公式，同时也给出了新的三维法向、切向黏-弹性人工边界公式，并在实际应用中采用等效线性化方法处理，进行了数值算例分析，结果表明，新的黏-弹性人工边界具有更好的精度，可以用于地基非线性波动问题的研究。

Research on viscoelastic artificial boundary for problem of nonlinear wave motion in soil

Planar and three-dimensional viscoelastic artificial boundary conditions in simulation of nonlinear wave motion in soils are proposed. The mode of dynamic modulus vibration in commonly used equivalent linearity model is chosen to consider the nonlinearity of soil; then the planar tangential, planar normal and out-of-plane tangential viscoelastic artificial boundary equations are derived; and three-dimensional normal, three-dimensional tangential viscoelastic artificial boundary equations are generalized too. These new viscoelastic artificial boundaries are applied by means of equivalent linearization method; and numerical examples prove better accuracy of these new viscoelastic artificial boundary conditions, which can be used to study problems of nonlinear wave motion in soils.