Finite element method for orthotropic micropolar elasticity

DOI10.1016/0020-7225(84)90013-2zbMath0536.73007OpenAlexW2059736266MaRDI QIDQ792110

Sachio Nakamura, Robert L. Benedict, Roderic S. Lakes

Publication date: 1984

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(84)90013-2

zbMATH Keywords

principle of virtual workcomplex geometriestotal potential energydependence of the stress factor on the micropolar material parametersdisplacement type finite element methodisotropic micropolar materialorthotropic micropolar elastic materialsplane couple stressstress concentration factor around a holetriangular plane stress

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Polar materials (74A35) Numerical and other methods in solid mechanics (74S99)

Related Items (24)

Time harmonic sources at micropolar thermoelastic medium possessing cubic symmetry with one relaxation time ⋮ Finite element analysis of stress concentration around a blunt crack in a Cosserat elastic solid ⋮ Some problems of linear elasticity for cylinders in micropolar orthotropic material ⋮ Finite element analysis of two- and three-dimensional static problems in the asymmetric theory of elasticity as a basis for the design of experiments ⋮ Boundary element method for micropolar elasticity ⋮ Construction of a bending model of micropolar elastic thin beams with a circular axis and its implementation using the finite element method ⋮ A boundary element method for solving 2-D and 3-D static gradient elastic problems. I: Integral formulation. ⋮ On parallel simulation of a new linear Cosserat elasticity model with grid framework model assumptions ⋮ Three-dimensional finite elements for large deformation micropolar elasticity ⋮ Mixed displacement and couple stress finite element method for anisotropic centrosymmetric materials ⋮ Moving inclined load at boundary surface ⋮ A phase field model for cohesive fracture in micropolar continua ⋮ Deformation due to time-harmonic sources in micropolar thermoelastic medium possessing cubic symmetry with two relaxation times ⋮ Bending analysis of micropolar elastic beam using a 3-D finite element method ⋮ A control volume-based finite element method for plane micropolar elasticity ⋮ Analysis of Poisson’s ratio for a micropolar elastic rectangular plate using the finite element method ⋮ The effects of material constants on the micropolar elastic honeycomb structure with negative Poisson's ratio using the finite element method ⋮ Some Novel Numerical Applications of Cosserat Continua ⋮ Dynamical Behaviour of Orthotropic Micropolar Elastic Medium ⋮ Boundary element analysis of mode I and mixed mode (I and II) crack problems of 2D gradient elasticity ⋮ Response of orthotropic micropolar elastic medium due to time-harmonic source ⋮ Effects of fluid layer at micropolar orthotropic boundary surface ⋮ Torsional analysis of micropolar elasticity using the finite element method ⋮ Viscous effect at an orthotropic micropolar boundary surface

Cites Work

• A structural model of a micropolar continuum
• Effects of couple-stresses in linear elasticity
• On the numerical solution of a class of problems in a linear first strain–gradient theory of elasticity
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