Enrichment functions for weak singularities in 2D elastic problems with isotropic and orthotropic materials

DOI10.1016/j.amc.2019.01.016zbMath1428.74038OpenAlexW2911248982MaRDI QIDQ2009269

B. Boroomand, N. Noormohammadi

Publication date: 27 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.016

zbMATH Keywords

elasticitysingularityorthotropicequilibrated basis functions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (4)

A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media ⋮ Static analysis of orthotropic nanoplates reinforced by defective graphene based on strain gradient theory using a simple boundary method ⋮ Singular functions for heterogeneous composites with cracks and notches; the use of equilibrated singular basis functions ⋮ Admissibility and stabilization of singular continuous 2D systems described by Roesser model

Cites Work

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• A fictitious domain method using equilibrated basis functions for harmonic and bi-harmonic problems in physics
• Exponential basis functions in solution of incompressible fluid problems with moving free surfaces
• Edge singularities in anisotropic composites
• Construction of equilibrated singular basis functions without a priori knowledge of analytical singularity order
• Weakly equilibrated basis functions for elasticity problems
• Arbitrary discontinuities in finite elements
• Exponential basis functions in solution of static and time harmonic elastic problems in a meshless style
• A finite element method for crack growth without remeshing

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