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Enriched reproducing kernel particle method for piezoelectric structures with arbitrary interfaces
Author(s) -
Liu C. W.,
Taciroglu E.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1684
Subject(s) - classification of discontinuities , kernel (algebra) , piezoelectricity , particle method , particle (ecology) , spline (mechanical) , computer science , set (abstract data type) , algorithm , mathematical analysis , mathematics , structural engineering , acoustics , pure mathematics , physics , engineering , geology , programming language , oceanography , boundary value problem
A formulation based on enriched reproducing kernel particle method is proposed for analysing non‐homogenous piezoelectric structures with arbitrarily shaped material interfaces. The interfaces are represented using a set of cubic spline segments, each of which is defined by the co‐ordinates and the slopes of its two end‐nodes. Special enrichment functions are introduced within the reproducing kernel particle method, in order to capture discontinuities of strain and electric fields at the material interfaces. Several validation examples are provided to demonstrate the veracity and the utility of the proposed numerical method. Copyright © 2006 John Wiley & Sons, Ltd