Open AccessWeak-form differential quadrature element method for dynamic analysis of fluid-saturated soil
Author(s) -
Guanghui He,
Zhiming Kuang,
X. K. Li
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/657/1/012043
Subject(s) - quadrature (astronomy) , discretization , backward euler method , mathematics , nyström method , finite element method , euler method , mathematical analysis , numerical analysis , gauss–kronrod quadrature formula , numerical integration , gauss–jacobi quadrature , euler equations , integral equation , physics , thermodynamics , optics
It is formulated the weak-form of differential equations that govern the two-dimensional dynamical behavior of fluid-saturated soil, then the weak-form equations are discretized by the differential quadrature technique, and finally solved by the implicit Euler method. The proposed weak-form equations and numerical programs developed are verified through comparisons with benchmark solutions, and the convergence performance of the presented method is investigated. Numerical results show that the proposed weak-form quadrature element method not only possesses significantly higher computational efficiency, for the dynamic analysis of saturated soil, than the conventional finite element method, but it is also significantly alleviated the problem of numerical smoothness in the stress analysis.