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On the mathematical modelling of material behavior in continuum mechanics - MaRDI portal

On the mathematical modelling of material behavior in continuum mechanics (Q687319)

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scientific article; zbMATH DE number 429372
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English
On the mathematical modelling of material behavior in continuum mechanics
scientific article; zbMATH DE number 429372

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    On the mathematical modelling of material behavior in continuum mechanics (English)
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    18 October 1993
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    The classical theories of continuum mechanics --- linear elasticity, viscoelasticity, plasticity and hydrodynamics --- are defined by special constitutive equations. These can be understood to be asymptotic approximations of a quite general constitutive model, valid under restrictive assumptions for the stress functional or the input processes. The general theory of material behavior develops systematic methods to represent material properties in a context of physical evidence and mathematical consistency.
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    linear elasticity
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    viscoelasticity
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    plasticity
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    hydrodynamics
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    general theory of material behavior
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