Numerical methods for treating problems of viscoelastic isotropic solid deformation (Q1917844)
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scientific article; zbMATH DE number 903492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical methods for treating problems of viscoelastic isotropic solid deformation |
scientific article; zbMATH DE number 903492 |
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Numerical methods for treating problems of viscoelastic isotropic solid deformation (English)
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15 July 1996
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Mathematical models for treating problems of linear viscoelasticity involving hereditary constitutive relations for compressible solids are discussed, and their discretization using finite element methods in space together with quadrature rules in time to treat the hereditary integrals is described. The range of applicability of this type of formulation is reviewed in the context of geometric and constitutive linearity/nonlinearity, and the limitations imposed by the availability of physical data are discussed.
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Volterra integral equation of second kind
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linear viscoelasticity
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hereditary constitutive relations
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compressible solids
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finite element methods in space
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quadrature rules in time
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