We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming that the composite has a periodic microscopic structure, we establish the Γ-convergence of the energies in the limiting of vanishing periodicity. The constraint that plastic deformations belong to SL(3) poses the biggest hurdle to the analysis, and we address it by regarding SL(3) as a Finsler manifold.
A homogenization result in finite plasticity / Davoli, Elisa; Gavioli, Chiara; Pagliari, Valerio. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 63:3(2024), pp. 1-22. [10.1007/s00526-024-02673-0]
A homogenization result in finite plasticity
Gavioli, Chiara;
2024
Abstract
We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming that the composite has a periodic microscopic structure, we establish the Γ-convergence of the energies in the limiting of vanishing periodicity. The constraint that plastic deformations belong to SL(3) poses the biggest hurdle to the analysis, and we address it by regarding SL(3) as a Finsler manifold.
| File | Dimensione | Formato | |
|---|---|---|---|
|
unpaywall-bitstream-155779149.pdf
Open access
Tipologia:
VOR - Versione pubblicata dall'editore
Dimensione
431.21 kB
Formato
Adobe PDF
|
431.21 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
