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An energetic formulation for the linear viscoelastic problem. Part I: Theoretical results and first calculations
Author(s) -
Carini A.,
Gelfi P.,
Marchina E.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620380104
Subject(s) - viscoelasticity , finite element method , mathematics , discretization , elasticity (physics) , linear elasticity , kernel (algebra) , mathematical analysis , physics , structural engineering , engineering , combinatorics , thermodynamics
An extremal principle is formulated for the linear viscoelastic problem with general viscous kernel. This is an extension of the classical total potential energy principle of the linear elasticity. Then a discretized formulation in space and time is shown for frame structures, using finite element technique. Several numerical examples, for two different kinds of viscoelastic materials, testify the accuracy and reliability of the proposed method. The matrix conditioning indexes obtained are compared with those achieved by applying the least square method.