Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method

Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method

In this paper, the singular boundary method (SBM) in conjunction with the exponential window method (EWM) is firstly extended to simulate the transient dynamic response of two-dimensional saturated soil. The frequency-domain (Fourier space) governing equations of Biot theory is solved by the SBM wit...

Full description

Bibliographic Details
Main Authors:	Dongdong Liu, Xing Wei, Chengbin Li, Chunguang Han, Xiaxi Cheng, Linlin Sun
Format:	Article
Language:	English
Published:	MDPI AG 2022-11-01
Series:	Mathematics
Subjects:	singular boundary method meshless methods exponential window method saturated soil transient dynamic response analysis
Online Access:	https://www.mdpi.com/2227-7390/10/22/4323

Similar Items

Extending the Exponential Basis Functions Meshless Method to Solve Singular Plate Problems
by: F. Mossaiby, et al.
Published: (2016-01-01)

A Novel Coupled Meshless Model for Simulation of Acoustic Wave Propagation in Infinite Domain Containing Multiple Heterogeneous Media
by: Cheng Chi, et al.
Published: (2023-04-01)

Analytical Expressions for the Singularities Treatment in the ‎Three-dimensional Elastostatic Boundary Element Method
by: Leonardo Prado Leite, et al.
Published: (2021-04-01)

The interpolating element-free Galerkin method for three-dimensional transient heat conduction problems
by: D. Liu, et al.
Published: (2020-12-01)

Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method
by: Cheng-Yu Ku, et al.
Published: (2021-04-01)

SOME MORE ON LOGARITHMIC SINGULARITY INTEGRATION IN BOUNDARY ELEMENT METOD
by: Tomasz Rymarczyk, et al.
Published: (2024-03-01)

Meshless Method with Operator Splitting Technique for Transient Nonlinear Bioheat Transfer in Two-Dimensional Skin Tissues
by: Ze-Wei Zhang, et al.
Published: (2015-01-01)

An exponentially fitted tridiagonal finite difference method for singularly perturbed differential-difference equations with small shift
by: R. Nageshwar Rao, et al.
Published: (2014-12-01)

Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity
by: Marek Kolk, et al.
Published: (2009-03-01)

A New Boundary Condition Framework for Particle Method by Using Local Regular-Distributed Background Particles—The Special Case for Poisson Equation
by: Zhe Sun, et al.
Published: (2023-11-01)

An Efficient Boundary-Type Meshless Computational Approach for the Axial Compression on the Part Boundary of the Circular Shaft (Brazilian Test)
by: Jing Ling, et al.
Published: (2022-11-01)

Approximate solution to a singular, plane mixed boundary-value problem for Laplace’s equation in a curved rectangle
by: A.O. El-Refaie, et al.
Published: (2012-07-01)

Approximation of partial integro differential equations with a weakly singular kernel using local meshless method
by: Kamran, et al.
Published: (2020-08-01)

An adaptive meshless method of line based on radial basis functions
by: Jafar Biazar, et al.
Published: (2015-10-01)

Localized Boundary Knot Method for Solving Two-Dimensional Laplace and Bi-Harmonic Equations
by: Jingang Xiong, et al.
Published: (2020-07-01)

A new approach for solving nonlinear singular boundary value problems
by: Hui Zhu, et al.
Published: (2018-02-01)

Análise da convergência da solucao de squacoes lineares elípticas sob um esquema de diferencas finitas generalizadas (MDFG)
by: Daniel Ricardo Izquierdo
Published: (2018-01-01)

Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions
by: Jerome Goddard, et al.
Published: (2018-01-01)

Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation
by: Miglena N. Koleva, et al.
Published: (2024-01-01)

Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method
by: Seunghoon Oh, et al.
Published: (2018-12-01)

Simulation of Nonlinear Free Surface Waves using a Fixed Grid Method
by: A. Ebrahimi, et al.
Published: (2023-07-01)

A class of singularly perturbed Robin boundary value problems in critical case
by: Hao Zhang, et al.
Published: (2023-08-01)

Boundary layer analysis for nonlinear singularly perturbed differential equations
by: Robert Vrabel, et al.
Published: (2011-04-01)

A modified version of regularized meshless method for three dimensional potential problem
by: Lai Cheng-Yang, et al.
Published: (2017-01-01)

Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method
by: Mužík Juraj
Published: (2014-05-01)

Precorrected-FFT Accelerated Singular Boundary Method for High-Frequency Acoustic Radiation and Scattering
by: Weiwei Li, et al.
Published: (2022-01-01)

A SPH-GFDM Coupled Method for Elasticity Analysis
by: Zheming Tong, et al.
Published: (2021-09-01)

Thermal Conductivity Identification in Functionally Graded Materials via a Machine Learning Strategy Based on Singular Boundary Method
by: Wenzhi Xu, et al.
Published: (2022-01-01)

A Novel Spatial–Temporal Radial Trefftz Collocation Method for 3D Transient Wave Propagation Analysis with Specified Sound Source Excitation
by: Lin Chen, et al.
Published: (2022-03-01)

A meshless numerical investigation based on the RBF-QR approach for elasticity problems
by: Mostafa Abbaszadeh, et al.
Published: (2020-02-01)

Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition
by: Wondimagegnehu Simon Hailu, et al.
Published: (2023-05-01)

Three-Dimensional Elastodynamic Analysis Employing Partially Discontinuous Boundary Elements
by: Yuan Li, et al.
Published: (2021-04-01)

Numerical treatment of singularly perturbed unsteady Burger-Huxley equation
by: Imiru Takele Daba, et al.
Published: (2023-01-01)

Singularities in boundary value problems /
by: Garnir, H. G.
Published: (1981)

Determination of the intensity of singularity at the vertex of interface in three-dimensional joints using a conservative integral (Effect of radius of integral domain and size of element)
by: Hideo KOGUCHI, et al.
Published: (2015-12-01)

Singular Hamiltonian elliptic systems involving double exponential growth in dimension two
by: Yony Raúl Santaria Leuyacc
Published: (2024-06-01)

MODELING AND SIMULATION OF THERMOMECHANICAL STRESSES AND RESIDUAL STRESSES IN RESISTANCE SPOT WELDING BETWEEN TWO SHEETS OF MLPG METHOD
by: R. Vahdati, et al.
Published: (2013-09-01)

Two-dimensional meshless solution of the non-linear convection diffusion reaction equation by the Local Hermitian Interpolation method
by: Carlos A Bustamante Chaverra, et al.
Published: (2013-03-01)

The Novel Analytical–Numerical Method for Multi-Dimensional Multi-Term Time-Fractional Equations with General Boundary Conditions
by: Ji Lin, et al.
Published: (2023-02-01)

Solving problems with singularities using boundary elements /
by: 414574 Lefeber, D.
Published: (1989)