An energetic formulation for the linear viscoelastic problem. Part I: Theoretical results and first calculations

DOI10.1002/nme.1620380104zbMath0823.73079OpenAlexW2079349884MaRDI QIDQ4835122

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Publication date: 13 June 1995

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620380104

zbMATH Keywords

total potential energy principlematrix conditioning indices

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items

Variable separation method for solving boundary value problems of isotropic linearly viscoelastic bodies, Variational formulations for the linear viscoelastic problem in the time domain, Time domain analytical bounds to the homogenized viscous kernels of linear viscoelastic composites, Some variational formulations for continuum nonlinear dynamics, Variational formulations in the non-associated flow theory of plasticity, On the construction of extended problems and related functionals for general nonlinear equations, Modification of the iterative method for solving linear viscoelasticity boundary value problems and its implementation by the finite element method, Saddle-point principles and numerical integration methods for second-order hyperbolic equations

Uses Software

• Matlab
• ABAQUS

Cites Work

• Colonnetti's minimum principle extension to generally nonlinear materials