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

Content Provider	Springer Nature Link
Author	Sladek, J. Sladek, V. Solek, P. Pan, E.
Copyright Year	2008
Abstract	A meshless method based on the local Petrov–Galerkin approach is proposed for crack analysis in two-dimensional (2-D) and three-dimensional (3-D) axisymmetric magneto-electric-elastic solids with continuously varying material properties. Axial symmetry of geometry and boundary conditions reduces the original 3-D boundary value problem into a 2-D problem in axial cross section. Stationary and transient dynamic problems are considered in this paper. The local weak formulation is employed on circular subdomains where surrounding nodes randomly spread over the analyzed domain. The test functions are taken as unit step functions in derivation of the local integral equations (LIEs). The moving least-squares (MLS) method is adopted for the approximation of the physical quantities in the LIEs. The accuracy of the present method for computing the stress intensity factors (SIF), electrical displacement intensity factors (EDIF) and magnetic induction intensity factors (MIIF) are discussed by comparison with numerical solutions for homogeneous materials.
Starting Page	697
Ending Page	714
Page Count	18
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	42
Issue Number	5
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2008-03-26
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Magneto-electric-elastic solids Meshless local Petrov–Galerkin method (MLPG) Moving least-squares (MLS) interpolation Cracks Intensity factors 2-D and 3-D axisymmetric dynamic problems Permeable and impermeable conditions Mechanics, Fluids, Thermodynamics Computational Science and Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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