The application of mesh-free method in the numerical simulation of beams with the size effect

DOI10.1155/2014/590271zbMath1407.74056OpenAlexW2130899622WikidataQ59066298 ScholiaQ59066298MaRDI QIDQ1718730

Yuzhou Sun, Yuan Tian, Caili Zhang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/590271

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (1)

A mesh-free vibration analysis of strain gradient nano-beams

Cites Work

• Unnamed Item
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Meshless methods: An overview and recent developments
• Modelling and simulation of the superelastic behaviour of shape memory alloys using the element-free Galerkin method.
• Experiments and theory in strain gradient elasticity.
• Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams
• On the gradient strain elasticity theory of plates
• On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection
• Free vibrations of a strain gradient beam by the method of initial values
• On first strain-gradient theories in linear elasticity
• The buckling of single-walled carbon nanotubes upon bending: the higher-order gradient continuum and mesh-free method
• Application of the higher-order Cauchy-Born rule in mesh-free continuum and multiscale simulation of carbon nanotubes

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