Static and dynamic analysis of a gradient-elastic bar in tension

From MaRDI portal
Publication:1871619

DOI10.1007/s00419-002-0231-zzbMath1053.74028OpenAlexW2063745031MaRDI QIDQ1871619

D. Polyzos, K. G. Tsepoura, Dimitrios E. Beskos, Sofia Papargyri-Beskou

Publication date: 4 May 2003

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-002-0231-z




Related Items (40)

Fractional derivatives and strain gradient elasticityNonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approachStatic, stability and dynamic analysis of gradient elastic flexural Kirchhoff platesA benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element methodSome \(C^0\)-continuous mixed formulations for general dipolar linear gradient elasticity boundary value problems and the associated energy theoremsA new Kirchhoff plate model based on a modified couple stress theoryLamé's strain potential method for plane gradient elasticity problemsPlane strain gradient elastic rectangle in tensionDynamic finite element analysis of a gradient elastic bar with micro-inertiaMindlin's micro-structural and gradient elasticity theories and their thermodynamicsWave propagation in and free vibrations of gradient elastic circular cylindrical shellsRevisiting finite difference and finite element methods applied to structural mechanics within enriched continuaStrain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beamsA mixed finite volume formulation for the solution of gradient elasticity problemsA new microstructure-dependent Saint-Venant torsion model based on a modified couple stress theoryA nonlinear microbeam model based on strain gradient elasticity theory with surface energyAnalysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theoryWave propagation in 3-D poroelastic media including gradient effectsDispersion curves for Rayleigh-Lamb waves in a micro-plate considering strain gradient elasticityNon-local criteria for the borehole problem: gradient elasticity versus finite fracture mechanicsTransient dynamic analysis of a fluid-saturated porous gradient elastic columnCoupled newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast loadWave propagation in flexoelectric microstructured solidsA boundary element method for solving 2-D and 3-D static gradient elastic problems. I: Integral formulation.A boundary element method for solving 2-D and 3-D static gradient elastic problems. II: Numerical implementation.Variational analysis of gradient elastic flexural plates under static loadingStatic, stability and dynamic analyses of second strain gradient elastic Euler-Bernoulli beamsStability of strain gradient elastic bars in tensionAnalytical solution for strain gradient elastic Kirchhoff rectangular plates under transverse static loadingOn the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticityStability analysis of gradient elastic circular cylindrical thin shellsA spectral finite element for axial-flexural-shear coupled wave propagation analysis in lengthwise graded beamA micro scale Timoshenko beam model based on strain gradient elasticity theoryComparison of Laplacian based explicit and implicit gradient elasticity with reference to one-dimensional problems in statics and dynamicsVariational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problemsInterior penalty discontinuous Galerkin FEMs for a gradient beam and cntsBoundary element analysis of mode I and mixed mode (I and II) crack problems of 2D gradient elasticityWave dispersion in gradient elastic solids and structures: a unified treatmentHigher-gradient and micro-inertia contributions on the mechanical response of composite beam structuresOn the statics and dynamics of granular-microstructured rods with higher order effects




This page was built for publication: Static and dynamic analysis of a gradient-elastic bar in tension