A novel weak form quadrature element for gradient elastic beam theories
From MaRDI portal
Publication:1988623
DOI10.1016/j.apm.2019.07.014zbMath1448.74106OpenAlexW2958417113WikidataQ127529835 ScholiaQ127529835MaRDI QIDQ1988623
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
weighting coefficientHermite interpolationEuler-Bernoulli beam theorynon-classical degree of freedom
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quadrature element analysis of planar frameworks
- A weak form quadrature element method for plane elasticity problems
- Flexural vibration analysis of an eccentric annular Mindlin plate
- The differential quadrature method for irregular domains and application to plate vibration
- A phenomenological theory for strain gradient effects in plasticity
- A note on the numerical solution of high-order differential equations
- Differential quadrature solutions of eighth-order boundary-value differential equations
- On the gradient strain elasticity theory of plates
- Bending and stability analysis of gradient elastic beams
- A new differential quadrature methodology for beam analysis and the associated differential quadrature element method
- A novel weak form quadrature element for gradient elastic beam theories
- Weak form quadrature element analysis of Bickford beams
- Novel weak form quadrature element method with expanded Chebyshev nodes
- Finite element static and stability analysis of gradient elastic beam structures
- On first strain-gradient theories in linear elasticity
- Differential quadrature and longterm integration
- Micro-structure in linear elasticity
- BUCKLING ANALYSIS OF PLANAR FRAMEWORKS USING THE QUADRATURE ELEMENT METHOD
- Application of generalized differential quadrature method to structural problems
- Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method
This page was built for publication: A novel weak form quadrature element for gradient elastic beam theories
