Geometrically nonlinear response of a fractional-order nonlocal model of elasticity

• Published in: International journal of non-linear mechanics Vol. 125; p. 103529
• Main Authors: Sidhardh, Sai, Patnaik, Sansit, Semperlotti, Fabio
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.10.2020; Elsevier BV
• Subjects: Boundary conditions; Boundary value problems; Differential equations; Euler-Bernoulli beams; Finite element method; Mathematical analysis; Mathematical models; Nonlinear equations; Nonlinear response; Variational principles

This study presents the analytical and finite element formulation of a geometrically nonlinear and fractional-order nonlocal model of an Euler–Bernoulli beam. The finite nonlocal strains in the Euler–Bernoulli beam are obtained from a frame-invariant and dimensionally consistent fractional-order (no...