2023
DOI: 10.1051/e3sconf/202337601103
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Dynamic behavior of earth dams under different kinematic impacts

Abstract: The paper provides a detailed analysis of the current state of the problem. A mathematical model is presented to determine the dynamic behavior of earth dams, considering the viscoelastic properties of soil, using the hereditary Boltzmann-Volterra theory with the A.R. Rzhanitsyn kernel under periodic kinematic impacts. To solve the problems considered, the finite element method and complex arithmetics were used to reduce integrodifferential equations to a high-order complex algebraic equation. The accuracy of … Show more

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Cited by 11 publications
(4 citation statements)
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“…In order to carry out such calculations, a relatively large number of ground deformability parameters have to be determined with high accuracy and iterative methods for solving the obtained nonlinear equations have to be created. In this work, the cubic dependence between stress and strain components is used to describe the manifestation of physically nonlinear material properties [2][3][4][5][6][7][8][9][10].…”
Section: Intrоductiоnmentioning
confidence: 99%
“…In order to carry out such calculations, a relatively large number of ground deformability parameters have to be determined with high accuracy and iterative methods for solving the obtained nonlinear equations have to be created. In this work, the cubic dependence between stress and strain components is used to describe the manifestation of physically nonlinear material properties [2][3][4][5][6][7][8][9][10].…”
Section: Intrоductiоnmentioning
confidence: 99%
“…The evaluation of earthquake hazards can protect the population and put them in safety side also it can be protected the dams from failure by analysis the behavior of dam soil through and at the end of earthquake [6,7].…”
Section: Introductionmentioning
confidence: 99%
“…In [18], a mathematical model is presented for determining the dynamic behavior of earth dams, taking into account the viscoelastic properties of soil, using the hereditary Boltzmann-Volterra theory with the A.R. Rzhanitsyn's kernel under periodic kinematic influences.…”
Section: Introductionmentioning
confidence: 99%