Closed-form solution in bi-Helmholtz kernel based two-phase nonlocal integral models for functionally graded Timoshenko beams
Pei Zhang, Hai Qing
Topics & Concepts
Helmholtz free energyMathematical analysisBoundary value problemLaplace transformHelmholtz equationMathematicsDeflection (physics)StiffeningTimoshenko beam theoryBeam (structure)Classical mechanicsMaterials sciencePhysicsComposite materialOpticsQuantum mechanicsNonlocal and gradient elasticity in micro/nano structuresNumerical methods in engineeringComposite Structure Analysis and Optimization