Fracture analysis of cracked 2D planar and axisymmetric problems of magneto-electro-elastic materials by the MLPG coupled with FEM

DOI10.1016/j.cma.2009.02.021zbMath1229.74133OpenAlexW2076639477MaRDI QIDQ658249

Wenjie Feng, Yan-Song Li, Zeng-He Xu

Publication date: 11 January 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.02.021

zbMATH Keywords

finite element methodpenny-shaped crackfield intensity factorsmeshless local Petrov-Galerkin methodmagneto-electro-elastic materials

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15)

Related Items (4)

Meshfree Methods: A Comprehensive Review of Applications ⋮ Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors ⋮ Phase field model for brittle fracture in multiferroic materials ⋮ Field concentration and distribution in three-dimensional magneto-electro-elastic plates with open holes

Uses Software

• Mfree2D

Cites Work

• Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack
• Crack problems in magnetoelectroelastic solids. I: Exact solution of a crack
• Crack problems in magnetoelectroelastic solids. II: General solution of collinear cracks
• Multiple crack interaction problem in magnetoelectroelastic solids
• Dynamic fracture analysis of a penny-shaped crack in a magnetoelectroelastic layer
• Time-harmonic Green's functions for anisotropic magnetoelectroelasticity
• Fracture analysis of cracks in magneto-electro-elastic solids by the MLPG
• A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Element-free Galerkin methods in combination with finite element approaches
• Enforcement of essential boundary conditions in meshless approximations using finite elements
• Analysis of thin shells by the element-free Galerkin method
• Crack tip field in piezoelectric/piezomagnetic media
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation
• Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
• A coupled finite element -- element-free Galerkin method
• Fracture analysis of magnetoelectroelastic solids by using path-independent integrals
• Applicability of the crack-face electromagnetic boundary conditions for fracture of magnetoelectroelastic materials
• Dynamic analysis of a cracked magnetoelectroelastic medium under antiplane mechanical and inplane electric and magnetic impacts

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