Avoiding negative elastic moduli when using Lagrange interpolation for material grading in finite element analysis

DOI10.1007/S00707-015-1476-2zbMath1381.74189OpenAlexW2258560037MaRDI QIDQ268887

F. Blanchet-Sadri, M. Dambrine

Publication date: 18 April 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1476-2

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• Three-dimensional static and dynamic analysis of functionally graded elliptical plates, employing graded finite elements
• A higher-order shear and normal deformation functionally graded plate model: some recent results
• A general third-order theory of functionally graded plates with modified couple stress effect and the von Kármán nonlinearity: theory and finite element analysis
• Nonlinear dynamic response of functionally graded rectangular plates under different internal resonances
• Stress concentration factor due to a circular hole in functionally graded panels under uniaxial tension
• Low-velocity impact response of sandwich beams with functionally graded core
• Use of Graded Finite Elements to Model the Behavior of Nonhomogeneous Materials
• Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials

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