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Nonlocal gradient integral models with a bi-Helmholtz averaging kernel for functionally graded beams

Pei Zhang, Peter Schiavone, Hai Qing

2022Applied Mathematical Modelling20 citationsDOI

Topics & Concepts

Helmholtz free energyHelmholtz equationMathematical analysisKernel (algebra)Laplace transformMathematicsStiffeningConstitutive equationBoundary value problemIntegral equationBoundary (topology)Applied mathematicsPhysicsMaterials scienceFinite element methodThermodynamicsQuantum mechanicsCombinatoricsComposite materialNonlocal and gradient elasticity in micro/nano structuresComposite Structure Analysis and OptimizationNumerical methods in engineering