We consider bodies with active microstructure described by a vector field with values ν ∈ R3. It complements the macroscopic displacement u ∈ R3. We prove existence and uniqueness for the dynamics of such a body under memory effects and a nonlinear microstructural behavior.
Dynamics of complex bodies with memory and vector-valued microstructure: Existence and uniqueness / Luca Bisconti; Paolo Mariano; Diego Berti. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - 446:(2023), pp. 133683.1-133683.9. [10.1016/j.physd.2023.133683]
Dynamics of complex bodies with memory and vector-valued microstructure: Existence and uniqueness
Luca Bisconti;Paolo Mariano
;Diego Berti
2023
Abstract
We consider bodies with active microstructure described by a vector field with values ν ∈ R3. It complements the macroscopic displacement u ∈ R3. We prove existence and uniqueness for the dynamics of such a body under memory effects and a nonlinear microstructural behavior.
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