The MLPG analysis of crack problems in magnetoelectroelastic solids

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The MLPG analysis of crack problems in magnetoelectroelastic solids

Jan Sladek, Vladimir Sladek

Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia.

DOI:

https://doi.org/10.7494/cmms.2011.1.0316

Abstract:

A meshless method based on the local Petrov-Galerkin approach is applied for boundary value problems with cracks in magnetoelectroelastic solids. A unit step function is used as the test functions in the local weak-form. This leads to local boundary-domain integral equations (LIEs). The moving least-squares (MLS) method is adopted for approximating the physical quantities in the LIEs. A system of ordinary differential equations for certain nodal unknowns is obtained. That system is solved numerically by the Houbolt finite-difference scheme. Numerical results for intensity factors in homogeneous and functionally graded materials are presented.

Cite as:

Sladek, J., & Sladek, V. (2011). The MLPG analysis of crack problems in magnetoelectroelastic solids. Computer Methods in Materials Science, 11(1), 81 – 87. https://doi.org/10.7494/cmms.2011.1.0316

Article (PDF):

Keywords:

Meshless local Petrov-Galerkin method, Moving least-squares interpolation, Intensity factors, Houbolt method, Functionally graded material

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