A novel weak form quadrature element for gradient elastic beam theories

DOI10.1016/j.apm.2019.07.014zbMath1448.74106OpenAlexW2958417113WikidataQ127529835 ScholiaQ127529835MaRDI QIDQ1988623

Yanyan Li

Publication date: 24 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: http://eprints.iisc.ac.in/64317/1/app_mat_mod_77_1-16_2020.pdf

zbMATH Keywords

weighting coefficientHermite interpolationEuler-Bernoulli beam theorynon-classical degree of freedom

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical and other methods in solid mechanics (74S99)

Related Items (10)

Large deformation analysis of fully incompressible hyperelastic curved beams ⋮ INVESTIGATION OF THE INFLUENCE OF AN INTERMEDIATE HINGE SUPPORT IN THE PROBLEM OF BENDING OF AN ELASTICALLY RESTRAINED ORTHOTROPIC BEAM ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates ⋮ A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity ⋮ Differential quadrature-based solution for non-classical Euler-Bernoulli beam theory ⋮ Static, stability and dynamic analyses of second strain gradient elastic Euler-Bernoulli beams ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects ⋮ A novel weak form quadrature element for gradient elastic beam theories ⋮ Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility ⋮ A novel formulation for the weak quadrature element method for solving vibration of strain gradient graded nonlinear nanobeams

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