An edge-based smoothed finite element method (ES-FEM) for dynamic analysis of 2D Fluid-Solid interaction problems

Abstract

The paper presents an extension of the Edge-based Smoothed Finite Element Method (ES-FEM-T3) using triangular elements for the dynamic response analysis of two-dimension fluid-solid interaction problems based on the pressure-displacement formulation. In the proposed method, both the displacement in the solid domain and the pressure in the fluid domain are smoothed by the gradient smoothing technique based on the smoothing domains associated with the edges of the triangular elements. Thanks to the softening effect of the gradient smoothing technique used in the ES-FEM-T3, the numerical solutions for the coupled systems by the ES-FEM-T3 are improved significantly compared to those by some other existing FEM methods.

A Smoothed Finite Element‐Based Elasticity Model for Soft Bodies

“…Similar to ES-FEM, the FS-FEM is more accurate than the standard FEM using the same T4 mesh for dynamic problems [39] and both linear and nonlinear problems [36]. Because of its excellent properties, S-FEM has been applied to a wide range of practical mechanics problems such as fracture mechanics and fatigue behavior [40][41][42][43], nonlinear material behavior analysis [35,38,[44][45][46][47][48], plates and shells [49][50][51][52], piezoelectric structures [43,[53][54][55], heat transfer and thermomechanical problems [56][57][58][59], vibration analysis and acoustics problems [39,58,[60][61][62], and fluid and structure interaction problems [63][64][65][66]. We refer the reader to [67,68] for recent in-depth reviews of S-FEM.…”

An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM)

“…e ES-FEM has been developed for n-sided polygonal elements [37], viscoelastoplastic analyses [38], 2D piezoelectric [39], primal-dual shakedown analyses [40], fluid structure interaction [41,42], and various applications [43][44][45]. Recently, in an effort to improve the accuracy of the plate and shell structural analyses, the classical MITC3 element [46] incorporated with the ES-FEM [36], has been proposed to give the so-called ES-MITC3 element [47][48][49][50][51].…”