Alternative Kelvin viscoelastic procedure for finite elements

DOI10.1016/S0307-904X(01)00048-8zbMath1066.74055OpenAlexW2077490072MaRDI QIDQ1614193

A. D. Mesquita, Humberto Breves Coda

Publication date: 3 September 2002

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(01)00048-8

zbMATH Keywords

shellsplatesdifferential viscoelastic relationsmatrix time differential equation

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Linear constitutive equations for materials with memory (74D05)

Related Items (8)

New methodology for the treatment of two dimensional viscoelastic coupling problems. ⋮ Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models ⋮ A simple Kelvin and Boltzmann viscoelastic analysis of three-dimensional solids by the boundary element method. ⋮ A boundary element methodology for viscoelastic analysis: Part I with cells ⋮ A boundary element methodology for viscoelastic analysis: Part II without cells ⋮ A time domain direct boundary integral method for a viscoelastic plane with circular holes and elastic inclusions ⋮ Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models ⋮ Direct boundary integral procedure for a Boltzmann viscoelastic plane with circular holes and elastic inclusions

Cites Work

• Constitutive modelling and computation of nonlinear viscoelastic solids. I: Rheological models and numerical integration techniques
• Hermitian one-step numerical integration algorithm for structural dynamic equations
• An incremental relaxation finite element analysis of viscoelastic problems with contact and friction
• Alternative time marching process for BEM and FEM viscoelastic analysis
• Viscoelastic analysis of nearly incompressible solids
• The constitutive equations for rate sensitive plastic materials
• New developments in the inelastic analysis of quasistatic and dynamic problems
• A Nonlinear Theory of Viscoelasticity for Application to Elastomers
• Error Estimates with Sharp Constants for a Fading Memory Volterra Problem in Linear Solid Viscoelasticity
• The use of ADINA for analysis of mines with explosive fills
• Viscoelastic stress analysis
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