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Nonlinear dynamic analysis of concrete gravity dams utilizing a simplified continuum damage model and different damping algorithms

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Abstract

Evaluating safety and stability of concrete dams in highly seismic regions is an increasing concern. Therefore, proposing an effective model that can predict crack propagation with good accuracy and low computation time is essential. The purpose of this study is to develop a special purpose finite element program for nonlinear dynamic analysis of concrete gravity dams. Despite its simple formulation and preferably easy programing, it should be able to predict acceptable crack patterns compared with previous studies. For this aim, a finite element program is developed based on a simplified isotropic continuum damage model. It also relies on the Hilber–Hughes–Taylor time integration method. Moreover, three different damping algorithms are employed in this program to study the nonlinear response of Koyna dam. It is concluded that variable damping algorithms leads to a more localized crack pattern in comparison to constant damping algorithm alternative. Furthermore, by increasing the numerical damping (i.e., α-factor) in the Hilber–Hughes–Taylor time integration method, the results of varying damping in each step get close to the results of varying damping in each iteration. Therefore, varying damping in each step with higher α-factors can be a suitable replacement to more common strategy in this respect due to its significant computational time saving.

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Correspondence to Reza Akbari.

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Akbari, R., Lotfi, V. Nonlinear dynamic analysis of concrete gravity dams utilizing a simplified continuum damage model and different damping algorithms. Asian J Civ Eng 24, 453–468 (2023). https://doi.org/10.1007/s42107-022-00511-2

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  • DOI: https://doi.org/10.1007/s42107-022-00511-2

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