The MLPG for crack analyses in composites with flexoelectricity effects

摘要: Abstract The meshless Petrov-Galerkin (MLPG) method is developed to analyse 2-D crack problems where the electric field and displacement gradients exhibit a size effect. size-effect phenomenon in micro/nano electronic structures described by strain- field-gradients. Both intensity vector strain are considered constitutive equations of material governing derived with corresponding boundary conditions using variational principle. coupled partial differential (PDE) for stresses satisfied local weak-form on small fictitious subdomains. All quantities approximated moving least-squares (MLS) scheme. After performing spatial integrations, we obtain system algebraic nodal unknowns.