On the linear theory of micropolar plates

From MaRDI portal
Publication:3624358

DOI10.1002/zamm.200800207zbMath1160.74030OpenAlexW2068554876MaRDI QIDQ3624358

Victor A. Eremeyev, Holm Altenbach

Publication date: 30 April 2009

Published in: ZAMM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200800207




Related Items (62)

A new six-degrees of freedom model designed for a composite plate through PPF controllersA simple non-linear model for internal friction in modified concreteDynamic problems for metamaterials: review of existing models and ideas for further researchA 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic propertiesIn-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical resultsRevisiting bending theories of elastic gradient beamsThree-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigationsSimplified analysis of a generalized bias test for fabrics with two families of inextensible fibresThe theory of micropolar thin elastic shellsOn some variational principles in micropolar theories of single-layer thin bodiesDynamic finite element formulation for Cosserat elastic platesAsymptotic piezoelectric plate models in microstretch elasticityHigher order theory of micropolar plates and shellsHigher order couple stress theory of plates and shellsGeometrically nonlinear FEM analysis of 6‐parameter resultant shell theory based on 2‐D Cosserat constitutive modelAn analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beamsMicropolar shells with thickness inflation and independent micro‐rotationsElastoplastic analysis of pressure‐sensitive materials by an effective three‐dimensional mixed finite elementExegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. HellingerOn shear correction factors in the nonlinear theory of elastic shellsA comparison between different approaches for modelling media with viscoelastic properties via optimization analysesOn weak solutions of boundary values problem in the theory of Cosserat porous bodiesGeometrically nonlinear models of static deformation of micropolar elastic thin plates and shallow shellsExistence and integral representation of solutions for plane deformations of a micropolar elastic solid with surface elasticityA beam model for duoskelion structures derived by asymptotic homogenization and its application to axial loading problemsMixed variational principle for micropolar elasticity and an accurate two-dimensional plate modelConvergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous ProofOn modeling interfaces in linear micropolar compositesRecent Achievements in Constitutive Equations of Laminates and Functionally Graded Structures Formulated in the Resultant Nonlinear Shell TheorySingular Surface Curves in the Resultant Thermodynamics of ShellsApplication of the grain boundary formulation and image processing-based algorithm in micro-mechanical analysis of piezoelectric ceramicMathematical model of micropolar elastic thin plates and their strength and stiffness characteristicsA boundary elements only solution method for 3D micropolar elasticityThe isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notationStructural similitudes of stiffened cylindersFEM analysis of Cosserat plates and shells based on some constitutive relationsOn the bending of plates in the electromagnetic theory of microstretch elasticityHencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum modelsNumerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structuresAn explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic caseUniqueness of solution for plane deformations of a micropolar elastic solid with surface effectsElastoplastic law of Cosserat type in shell theory with drilling rotationOn generalized Cosserat-type theories of plates and shells: a short review and bibliographyTwo-dimensional strain gradient damage modeling: a variational approachStrain gradient and generalized continua obtained by homogenizing frame latticesOn the Theories of Plates Based on the Cosserat ApproachPosition-based dynamic of a particle system: a configurable algorithm to describe complex behaviour of continuum material starting from swarm roboticsNonlinear bending of size-dependent circular microplates based on the modified couple stress theoryThe approximate solution of some plane boundary value problems of the moment theory of elasticityIdentification of a geometrically nonlinear micromorphic continuum via granular micromechanicsApplied Theory of Dynamics of Micropolar Elastic Thin Shells and Variation PrinciplesNonlocal Theory of Plates and Shells Based on Legendre’s Polynomial ExpansionThree-point bending test of pantographic blocks: numerical and experimental investigationThe Effect of Mechanical Load-induced Intraosseous Pressure Gradients on Bone RemodelingMaximum mechano-damage power release-based phase-field modeling of mass diffusion in damaging deformable solidsAre higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?Surface and interfacial anti-plane waves in micropolar solids with surface energyOn the derivation of constitutive relations for Cosserat continuum description of structural elements and materials with microstructureMathematical tools for the seismic analysis of reinforced concrete structures: a selected reviewForm finding of shell structures by using membrane theoryExistence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotationsNumerical Modeling of Micropolar Thin Elastic Plates



Cites Work


This page was built for publication: On the linear theory of micropolar plates

OSZAR »