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Theory of Three-Dimensional Dynamic Infinite Elements for Simulating Wave Propagation Problems in Infinite Media
Numerical simulation of infinite media is an important topic in dynamic soil–structure interaction problems. This topic arose from numerous practical problems, such as numerical simulation of building structural foundations, offshore structural foundations, dam foundations, nuclear power station foundations, just to name a few. The study of this topic becomes more important when the structure is large and the effects of earthquake waves are considered. Owing to the importance of dynamic soil–structure interaction effects, a large amount of research has been carried out in the past few decades (Elorduy et al. 1967; Lysmer and Kuhlemyer 1969; Kausel 1974; Zienkiewicz and Bettess 1975; Wong and Luco 1976; White et al. 1977; Cundall et al. 1978; Chow and Smith 1981; Hamidzadeh-Eraghi and Grootenhuis 1981; Medina and Taylor 1983; Liao et al. 1984; Wolf 1985, 1988; Zhao et al. 1987, 1989; Zhang and Zhao 1987; Zhao and Liu 2002, 2003). The general methodology of dealing with a dynamic soil–structure interaction problem is to divide the whole infinite foundation of the problem into a near field, which is comprised of a limited region of the infinite foundation, and a far field, which is comprised of the remaining part of the infinite foundation. As the near field is usually simulated by using the finite element method, both the geometrical irregularity and the non-homogeneity of an infinite foundation can be considered to determine the boundary of the near field. Since the far field is usually simplified as an isotropic, homogeneous, elastic medium, its effect on the near field can be represented either by some special artificial boundaries (Lysmer and Kuhlemyer 1969; Kausel 1974; White et al. 1977; Cundall et al. 1978; Liao et al. 1984; Zhao and Liu 2002, 2003) or by some special elements (Ungless 1973; Zienkiewicz and Bettess 1975; Bettess 1977, 1980; Chow and Smith 1981; Medina and Taylor 1983; Zhao et al. 1987, 1989). Through applying these special artificial boundaries or elements on the interface between the near field and the far field, the effect of the far field on the near field can be considered in the corresponding computational models.
Theory of Three-Dimensional Dynamic Infinite Elements for Simulating Wave Propagation Problems in Infinite Media
Numerical simulation of infinite media is an important topic in dynamic soil–structure interaction problems. This topic arose from numerous practical problems, such as numerical simulation of building structural foundations, offshore structural foundations, dam foundations, nuclear power station foundations, just to name a few. The study of this topic becomes more important when the structure is large and the effects of earthquake waves are considered. Owing to the importance of dynamic soil–structure interaction effects, a large amount of research has been carried out in the past few decades (Elorduy et al. 1967; Lysmer and Kuhlemyer 1969; Kausel 1974; Zienkiewicz and Bettess 1975; Wong and Luco 1976; White et al. 1977; Cundall et al. 1978; Chow and Smith 1981; Hamidzadeh-Eraghi and Grootenhuis 1981; Medina and Taylor 1983; Liao et al. 1984; Wolf 1985, 1988; Zhao et al. 1987, 1989; Zhang and Zhao 1987; Zhao and Liu 2002, 2003). The general methodology of dealing with a dynamic soil–structure interaction problem is to divide the whole infinite foundation of the problem into a near field, which is comprised of a limited region of the infinite foundation, and a far field, which is comprised of the remaining part of the infinite foundation. As the near field is usually simulated by using the finite element method, both the geometrical irregularity and the non-homogeneity of an infinite foundation can be considered to determine the boundary of the near field. Since the far field is usually simplified as an isotropic, homogeneous, elastic medium, its effect on the near field can be represented either by some special artificial boundaries (Lysmer and Kuhlemyer 1969; Kausel 1974; White et al. 1977; Cundall et al. 1978; Liao et al. 1984; Zhao and Liu 2002, 2003) or by some special elements (Ungless 1973; Zienkiewicz and Bettess 1975; Bettess 1977, 1980; Chow and Smith 1981; Medina and Taylor 1983; Zhao et al. 1987, 1989). Through applying these special artificial boundaries or elements on the interface between the near field and the far field, the effect of the far field on the near field can be considered in the corresponding computational models.
Theory of Three-Dimensional Dynamic Infinite Elements for Simulating Wave Propagation Problems in Infinite Media
Dr Zhao, Chongbin (Autor:in)
01.01.2009
21 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Infinite Medium , Rock Foundation , Wave Propagation Problem , Infinite Element , Structure Interaction Problem Physics , Geophysics and Environmental Physics , Mechanics , Engineering Thermodynamics, Heat and Mass Transfer , Geophysics/Geodesy , Classical Continuum Physics , Earth Sciences, general
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