Space–time FEM with block-iterative algorithm for nonlinear dynamic fracture analysis of concrete gravity dam

In this paper, space–time finite element method is developed for the dynamic fracture analysis of dam–reservoir (DR) system which is supported on a perfectly rigid foundation. In this method, an auxiliary variable q representing the first-order time derivative of hydrodynamic pressure is treated as...

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Vydané v:Soil dynamics and earthquake engineering (1984) Ročník 131; s. 105995
Hlavní autori: Sharma, Vikas, Fujisawa, Kazunori, Murakami, Akira
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Barking Elsevier Ltd 01.04.2020
Elsevier BV
Predmet:
Block iterative scheme
Coaxial rotating crack model
Computing time
Concrete blocks
Concrete dams
Concrete gravity dam
Direct reduction
Domains
Dynamic fracture analysis
Dynamical systems
Finite element method
Fracture mechanics
Gravity dams
Hydrodynamic pressure
Iterative algorithms
Iterative methods
Mathematical analysis
Nonlinear analysis
Nonlinear dynamics
Nonlinear systems
Nonlinearity
Plastic deformation
Quadratures
Reservoirs
Space–time FEM
Block iterative scheme
Dynamic fracture analysis
Coaxial rotating crack model
Concrete gravity dam
Space–time FEM
ISSN:0267-7261, 1879-341X
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Popis
Shrnutí:In this paper, space–time finite element method is developed for the dynamic fracture analysis of dam–reservoir (DR) system which is supported on a perfectly rigid foundation. In this method, an auxiliary variable q representing the first-order time derivative of hydrodynamic pressure is treated as the primary unknown for the reservoir domain. Similarly, velocity v is the primary unknown for the solid domain. A three point Gauss–Lobatto quadrature rule is employed for computing time integral of those terms which contain stress term. Further, a partitioned method based on a block-iterative scheme is employed to incorporate the material nonlinearity of the concrete and to enforce the coupling between the two domains in a single iteration loop. A co-axially rotating crack model with exponential strain softening rule is employed to model the fracture of the concrete. Afterwards, numerical performance of the proposed scheme is demonstrated by analyzing two situations of dynamic fracture of Koyna concrete gravity dam. •Single iteration-loop to handle material-nonlinearity and dam-reservoir coupling•Each of dam- and reservoir-domain is represented by a single primary variable•Secondary unknowns, pressure and displacement remain continuous in time•Base cracks have less impact on the initial response of Koyna dam•Neck area near downstream face of the dam is most vulnerable regime of Koyna dam•Dam-reservoir interactions amplify response of Koyna dam•Cracking of concrete elongates the vibration period of the dam
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ISSN:0267-7261
1879-341X
DOI:10.1016/j.soildyn.2019.105995