THESE DE DOCTORAT DE L'UNIVERSITE PARIS VI - LISMMA
THESE DE DOCTORAT DE L'UNIVERSITE PARIS VI - LISMMA
THESE DE DOCTORAT DE L'UNIVERSITE PARIS VI - LISMMA
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COUPLAGE <strong>VI</strong>SCOELASTICITE HYPERELASTICITED’après la relation 2.10, la loi de comportement s’écrit :S(t) = Φ[E 0 + η(t), 0 + ] : (E 0 + η(t)) −{} 0= Φ[E 0 , 0 + ] + ∂Φ[E0, 0 + ]η(t)dE{: (E 0 + η(t))−∫ t0∂dτΦ[E 0 , t − τ] + ∂ΦdE : [E 0, t − τ]η(τ)∫ t∂Φ[E 0 +η(τ),t−τ]dτ}[E 0 + η(τ)]dτOù encore :{}S(t) = Φ[E 0 , 0 + ] + ∂Φ[E0, 0 + ]η(t) : (E 0 + η(t))−dE{∫ t∂Φ[E dτ 0, t − τ] + ∂Φ[E0, t − τ] ∂η(τ) + ∂2 Φ[EdE dτ0, t − τ]η(τ)dτdE0: [E 0 + η(τ)]dτ(3.5)}: [E 0 + η(τ)]dτSachant que ||η||
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