Analysis of 2-dimensional transient problems for linear elastic and piezoelectric structures using the consecutive-interpolation quadrilateral element (CQ4)

DOI10.1016/j.euromechsol.2016.01.010zbMath1406.74077OpenAlexW2288154313MaRDI QIDQ1658090

Du Dinh Nguyen, Romesh C. Batra, Sohichi Hirose, Tinh Quoc Bui, Xiao-Dong Zhang

Publication date: 14 August 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/75229

zbMATH Keywords

elastodynamicsvibrationquadrilateral element

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

Enhanced nodal gradient finite elements with new numerical integration schemes for 2D and 3D geometrically nonlinear analysis ⋮ Numerical analysis of plane stress free vibration in severely distorted mesh by generalized finite element method ⋮ Topology optimization and geometric nonlinear modeling using positional finite elements ⋮ An efficient and rapid numerical quadrature to generate element matrices for quadrilateral and hexahedral elements in functionally graded materials (FGMs) ⋮ A stabilized moving Kriging interpolation method and its application in boundary node method ⋮ A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics ⋮ A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation

Uses Software

• FEAPpv

Cites Work

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• Shape control of vibrating simply supported rectangular plates
• Introduction to Finite Element Vibration Analysis
• A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids

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