Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects
DOI10.1016/j.apm.2020.07.015zbMath1485.74094OpenAlexW3048873245MaRDI QIDQ822067
Gongye Zhang, Yang Deng, Shuitao Gu, Shuohui Yin, Tian Tang Yu
Publication date: 21 September 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2020.07.015
cantilever beamnatural frequencymodified couple stress theorymaterial length scale parameterNURBS basis
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Isogeometric methods applied to problems in solid mechanics (74S22)
Related Items (4)
Cites Work
- Unnamed Item
- Interfacial discontinuity relations for coupled multifield phenomena and their application to the modeling of thin interphases as imperfect interfaces
- A microstructure- and surface energy-dependent third-order shear deformation beam model
- Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations
- A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Elastic materials with couple-stresses
- A continuum theory of elastic material surfaces
- Surface stress in solids
- Experiments and theory in strain gradient elasticity.
- Isogeometric frictionless contact analysis with the third medium method
- On vibrations of functionally graded viscoelastic nanobeams with surface effects
- Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics
- Modeling of a hydraulic arresting gear using fluid-structure interaction and isogeometric analysis
- Turbocharger flow computations with the space-time isogeometric analysis (ST-IGA)
- Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams
- Couple stress based strain gradient theory for elasticity
- Fracture analysis of cellular materials: a strain gradient model.
- Plasticity at the micron scale
- Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
- Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
- Kirchhoff-Love shells within strain gradient elasticity: weak and strong formulations and an \(H^3\)-conforming isogeometric implementation
- A new multi-layer approach for progressive damage simulation in composite laminates based on isogeometric analysis and Kirchhoff-Love shells. I: Basic theory and modeling of delamination and transverse shear
- A new Timoshenko beam model incorporating microstructure and surface energy effects
- A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory
- Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
- Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
- Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
- A multi-resolution approach for multi-material topology optimization based on isogeometric analysis
- Rotation-free isogeometric analysis of an arbitrarily curved plane Bernoulli-Euler beam
- Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo-electro-mechanical loads
- A new Bernoulli-Euler beam model incorporating microstructure and surface energy effects
- An expanding cavity model incorporating strain-hardening and indentation size effects
- Nonlocal polar elastic continua
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- An efficient computational approach for size-dependent analysis of functionally graded nanoplates
- Anisotropic strain gradient thermoelasticity for cellular structures: plate models, homogenization and isogeometric analysis
- Elastic surface—substrate interactions
- Plane deformations of elastic solids with intrinsic boundary elasticity
- Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models
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