Boundary element analysis of static plane problems in size-dependent consistent couple stress elasticity

DOI10.1016/j.enganabound.2021.08.014OpenAlexW3193657708MaRDI QIDQ1980242

Jun Lei, Pengsheng Ding, Chuan-Zeng Zhang

Publication date: 3 September 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.08.014

zbMATH Keywords

boundary element methodstress concentrationcouple stress theorysize-dependencestatic problemsmultiple holes

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items (6)

General displacement and traction BEM for plane couple-stress problems ⋮ Penalty \(\mathrm{C}^0 8\)-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method ⋮ Frequency‐domain fundamental solutions and boundary element method for consistent couple stress elastodynamic problems ⋮ Non-conforming Trefftz finite element implementation of orthotropic Kirchhoff plate model based on consistent couple stress theory ⋮ An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity ⋮ Size-dependent dynamic stability of nanocomposite enriched micro-shell panels in thermal environment using the modified couple stress theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elastic materials with couple-stresses
• On the role of gradients in the localization of deformation and fracture
• Boundary element method for micropolar elasticity
• Application of local boundary integral equation method into micropolar elasticity
• A boundary element method for solving 3D static gradient elastic problems with surface energy
• A boundary element method for solving 2-D and 3-D static gradient elastic problems. II: Numerical implementation.
• Couple stress based strain gradient theory for elasticity
• Crack-tip amplification and shielding by micro-cracks in piezoelectric solids. I: Static case
• The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• Boundary element formulation for plane problems in couple stress elasticity
• An advanced boundary element method for solving 2D and 3D static problems in Mindlin's strain-gradient theory of elasticity
• 2D and 3D Boundary Element Analysis of Mode-I Cracks in Gradient Elasticity
• A three-dimensionalC¹finite element for gradient elasticity
• Finite element formulations of strain gradient theory for microstructures and the C^0–1 patch test
• A sinh transformation for evaluating nearly singular boundary element integrals

This page was built for publication: Boundary element analysis of static plane problems in size-dependent consistent couple stress elasticity