Non-linear mathematical model of viscoelastic thin plates with its applications

DOI10.1016/S0045-7825(98)00039-5zbMath0951.74034MaRDI QIDQ1818472

Chang-Jun Cheng, Neng-Hui Zhang

Publication date: 18 December 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Laplace transformGalerkin methodfinite difference schemeslarge deflectionquasi-static problemisotropic viscoelastic materialsBoltzmann's anisotropic viscielastic materialKarman's hypothesessimply-supported rectangular platestructural functionsviscoelastic thin plates

Mathematics Subject Classification ID

Related Items (12)

A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams ⋮ Vibration analysis of linear coupled thermoviscoelastic thin plates by a variational approach ⋮ Thermoviscoelastic deformations of functionally graded thin plates ⋮ Dynamic stability analysis of Mindlin viscoelastic plates subjected to constant and harmonic in-plane compressions based on free vibration analysis of elastic plates ⋮ A dynamical model for nonlinear viscoelastic corrugated circular plates with shallow sinusoidal corrugations ⋮ Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping ⋮ Two-mode Galerkin approach in dynamic stability analysis of viscoelastic plates. ⋮ Dynamic properties of viscoelastic open shallow shells ⋮ A locking-free finite element formulation for a non-uniform linear viscoelastic Timoshenko beam ⋮ Large deformation analysis of moderately thick viscoelastic plates ⋮ Time depended deformation and buckling of viscoelastic thick plates by a fully discretized finite strip method using third order shear deformation theory ⋮ A modified variational iteration method for the analysis of viscoelastic beams

Cites Work

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• Constitutive modelling and computation of nonlinear viscoelastic solids. I: Rheological models and numerical integration techniques
• Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation
• An incremental relaxation finite element analysis of viscoelastic problems with contact and friction
• A Time Domain Substructure Synthesis Method for Viscoelastic Structures

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