Fracture analysis of cracks in magneto-electro-elastic solids by the MLPG

DOI10.1007/s00466-008-0269-zzbMath1163.74564OpenAlexW2104540496MaRDI QIDQ1026477

Peter Solek, Ernian Pan, Vladimir Sládek, Jan Sladek

Publication date: 25 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-008-0269-z

zbMATH Keywords

cracksintensity factorsmeshless local Petrov-Galerkin method (MLPG)2-D and 3-D axisymmetric dynamic problemsmagneto-electric-elastic solidsmoving least-squares (MLS) interpolationpermeable and impermeable conditions

Mathematics Subject Classification ID

Related Items (26)

Fracture in magnetoelectroelastic materials using the extended finite element method ⋮ A new implementation of the finite collocation method for time dependent PDEs ⋮ Modeling of magneto-electro-elastic problems by a meshless local natural neighbor interpolation method ⋮ Transient dynamic interface crack analysis in magnetoelectroelastic bi-materials by a time-domain BEM ⋮ Effects of nonhomogeneity on singular electroelastic field near electrodes for a functionally graded piezoelectric material ⋮ Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion ⋮ Dual BEM analysis of different crack face boundary conditions in 2D magnetoelectroelastic solids ⋮ Transient dynamic crack analysis in linear magnetoelectroelastic solids by a hypersingular time-domain BEM ⋮ On tracking arbitrary crack path with complex variable meshless methods ⋮ Influences of magneto-electro-elastic layer properties of piezoelectric/piezomagnetic composites on dynamic intensity factors ⋮ Field concentration and distribution in three-dimensional magneto-electro-elastic plates with open holes ⋮ A weakly singular SGBEM for analysis of two-dimensional crack problems in multi-field media ⋮ Fracture analysis of cracked 2D planar and axisymmetric problems of magneto-electro-elastic materials by the MLPG coupled with FEM ⋮ Fracture analysis of plane piezoelectric/piezomagnetic multiphase composites under transient loading ⋮ Fracture analysis of a piezoelectric elliptical tube subject to internal pressure and thermal loadings ⋮ Exact solution for elliptical inclusion in magnetoelectroelastic materials ⋮ Transient magneto-thermoviscoelastic plane waves in a non-homogeneous anisotropic thick strip subjected to a moving heat source ⋮ Analytical solution for electromagnetothermoelastic behaviors of a functionally graded piezoelectric hollow cylinder ⋮ Numerical method of crack analysis in 2D finite magnetoelectroelastic media ⋮ Analysis of cracked magnetoelectroelastic composites under time-harmonic loading ⋮ The extended finite element method with novel crack-tip enrichment functions for dynamic fracture analysis of interfacial cracks in piezoelectric-piezomagnetic bi-layered structures ⋮ Anti-plane analysis of multiple cracks originating from a circular hole in a magnetoelectroelastic solid ⋮ Magneto-electro-elastic node-based smoothed point interpolation method for micromechanical analysis of natural frequencies of nanobeams ⋮ Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations ⋮ A greedy MLPG method for identifying a control parameter in 2D parabolic PDEs ⋮ Dynamic response of a cracked magnetoelectroelastic layer sandwiched between two elastic layers

Uses Software

• Algorithm 368

Cites Work

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• Exact Solution for Simply Supported and Multilayered Magneto-Electro-Elastic Plates
• Meshless analysis of piezoelectric devices

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