A strain gradient Timoshenko beam element: application to MEMS

DOI10.1007/s00707-014-1188-zzbMath1323.74088OpenAlexW2030051730MaRDI QIDQ2262834

Mohsen Asghari, M. H. Kahrobaiyan, Mohammad Taghi Ahmadian

Publication date: 16 March 2015

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-014-1188-z

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (14)

Closed-form frequency solutions for simplified strain gradient beams with higher-order inertia ⋮ Effects of local thickness defects on the buckling of micro-beam ⋮ A nonlinear strain gradient finite element for microbeams and microframes ⋮ Exact solutions for size-dependent bending of Timoshenko curved beams based on a modified nonlocal strain gradient model ⋮ Bifurcation analysis of the rotating axially compressed nano‐rod with imperfections ⋮ Modelling architected beam using a nonlocal derivative-free shear deformable beam theory ⋮ Small-scale oriented elasticity modeling of functionally graded rotating micro-disks with varying angular velocity in the context of the strain gradient theory ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects ⋮ Finite element analysis of plane strain solids in strain-gradient elasticity ⋮ Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity ⋮ Size-dependent nonlinear vibration analysis of shear deformable microarches using strain gradient theory ⋮ Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory ⋮ A novel formulation for the weak quadrature element method for solving vibration of strain gradient graded nonlinear nanobeams ⋮ The strain gradient-based torsional vibration analysis of micro-rotors with nonlinear flexural-torsional coupling

Cites Work

• Investigation of the size effects in Timoshenko beams based on the couple stress theory
• A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
• Static and dynamic analysis of micro beams based on strain gradient elasticity theory
• Nonlinear dynamic analysis of a V-shaped microcantilever of an atomic force microscope
• Torsion of strain gradient bars
• Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory
• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• A new Kirchhoff plate model based on a modified couple stress theory
• Effect of geometric nonlinearity on dynamic pull-in behavior of coupled-domain microstructures based on classical and shear deformation plate theories
• A phenomenological theory for strain gradient effects in plasticity
• Experiments and theory in strain gradient elasticity.
• Indentation size effects in crystalline materials: a law for strain gradient plasticity
• Strain gradient formulation of functionally graded nonlinear beams
• A nonlinear strain gradient beam formulation
• A strain gradient functionally graded Euler-Bernoulli beam formulation
• Nonlinear forced vibration of strain gradient microbeams
• Couple stress based strain gradient theory for elasticity
• A micro scale Timoshenko beam model based on strain gradient elasticity theory
• A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
• Finite element Lagrange multiplier formulation for size-dependent skew-symmetric couple-stress planar elasticity
• Effects of couple-stresses in linear elasticity
• Nonlinear size-dependent forced vibrational behavior of microbeams based on a non-classical continuum theory
• An improved two-node timoshenko beam finite element
• A reformulation of strain gradient plasticity.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A strain gradient Timoshenko beam element: application to MEMS