A new finite element method for strain gradient theories and applications to fracture analyses

DOI10.1016/j.euromechsol.2006.03.001zbMath1105.74044OpenAlexW2170890948MaRDI QIDQ860010

Yueguang Wei

Publication date: 22 January 2007

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/16579

zbMATH Keywords

crack tip fieldsFleck-Hutchinson strain gradient plasticityZienkiewicz-Taylor C1 finite element method

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (16)

Inclusion problem in second gradient elasticity ⋮ On the effects of characteristic lengths in bending and torsion on mode III crack in couple stress elasticity ⋮ On band gaps of nonlocal acoustic lattice metamaterials: a robust strain gradient model ⋮ Two robust nonconforming \(H^2\)-elements for linear strain gradient elasticity ⋮ Cross-scale optimization of advanced materials for micro and nano structures based on strain gradient theory ⋮ Concurrent cross-scale and multi-material optimization considering interface strain gradient ⋮ A new high-order deformation theory and solution procedure based on homogenized strain energy density ⋮ Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems ⋮ Couple-stress effects for the problem of a crack under concentrated shear loading ⋮ Mixed displacement and couple stress finite element method for anisotropic centrosymmetric materials ⋮ Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity ⋮ A numerical analysis of Saint-Venant torsion in strain-gradient bars ⋮ Effects of electric field and strain gradients on cracks in piezoelectric solids ⋮ Application of nonlocal continuum theory to the primary resonance analysis of an axially loaded nano beam under time delay control ⋮ Gradient-enhanced statistical analysis of cleavage fracture ⋮ Gradient theory for crack problems in quasicrystals

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• Large strain finite element analysis of a local second gradient model: application to localization
• Fracture in a higher-order elastic continuum
• Strain gradient theory with couple stress for crystalline solids

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