Výsledky vyhledávání - "Gianni Dal Maso"

Compactness for a class of integral functionals with interacting local and non-local terms

Publikováno v: Calculus of Variations and Partial Differential Equations. 62

We prove a compactness result with respect to $\Gamma$-convergence for a class of integral functionals which are expressed as a sum of a local and a non-local term. The main feature is that, under our hypotheses, the local part of the $\Gamma$-limit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8caa620e794152f6ae7727a92dbdae6
https://doi.org/10.1007/s00526-023-02491-w

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A new space of generalised functions with bounded variation motivated by fracture mechanics

Autor: Rodica Toader, Gianni Dal Maso

Publikováno v: Nonlinear Differential Equations and Applications NoDEA. 29

We introduce a new space of generalised functions with bounded variation to prove the existence of a solution to a minimum problem that arises in the variational approach to fracture mechanics in elastoplastic materials. We study the fine properties

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ac50c6351b6e505f6bdae90c6d12e27
https://doi.org/10.1007/s00030-022-00793-0

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Continuity of some non-local functionals with respect to a convergence of the underlying measures

Autor: Andrea Braides, Gianni Dal Maso

We study some non-local functionals on the Sobolev space $W^{1,p}_0(\Omega)$ involving a double integral on $\Omega\times\Omega$ with respect to a measure $\mu$. We introduce a suitable notion of convergence of measures on product spaces which implie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::986bb2edbc517c162a912d530250baf0
http://arxiv.org/abs/2204.01552

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Quasistatic crack growth in elasto-plastic materials with hardening: The antiplane case

Autor: Rodica Toader, Gianni Dal Maso

We study a variational model for crack growth in elasto-plastic materials with hardening in the antiplane case. The main result is the existence of a solution to the initial value problem with prescribed time-dependent boundary conditions.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88ede57a9697805abdcb2a4bcfd7663b
https://hdl.handle.net/11390/1240045

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Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition

Autor: Rodica Toader, Christopher J. Larsen, Gianni Dal Maso

Publikováno v: Journal de Mathématiques Pures et Appliquées. 127:160-191

We consider a model of elastodynamics with fracture evolution, based on energy-dissipation balance and a maximal dissipation condition. We prove an existence result in the case of planar elasticity with a free crack path, where the maximal dissipatio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::735ad8a307e5c612b567d9f13f926c0e
https://doi.org/10.1016/j.matpur.2018.08.006

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Quasistatic limit of a dynamic viscoelastic model with memory

Autor: Francesco Sapio, Gianni Dal Maso

We study the behaviour of the solutions to a dynamic evolution problem for a viscoelastic model with long memory, when the rate of change of the data tends to zero. We prove that a suitably rescaled version of the solutions converges to the solution

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbc8fbdf47d3a43764ac19fe017cd67b
http://arxiv.org/abs/2106.03543

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A global method for deterministic and stochastic homogenisation in $BV$

Autor: Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, Caterina Ida Zeppieri

In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under linear growth and coercivity conditions. The main novelty of our deterministic result is that we work under very general assumptions on the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96371de2979b93945384fce567396382
http://arxiv.org/abs/2101.04174

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Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks

Autor: Federico Cianci, Gianni Dal Maso

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d61534f7e6c9b7bb5dc3311afbcb100f
http://hdl.handle.net/20.500.11767/125673

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Elastodynamic Griffith fracture on prescribed crack paths with kinks

Autor: Christopher J. Larsen, Rodica Toader, Gianni Dal Maso

We prove an existence result for a model of dynamic fracture based on Griffith’s criterion in the case of a prescribed crack path with a kink.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b5f4e1dbee824cf239381fc6fd069e8
http://hdl.handle.net/20.500.11767/109750

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A minimization approach to the wave equation on time-dependent domains

Autor: Lucia De Luca, Gianni Dal Maso

Publikováno v: Advances in calculus of variations
13 (2020): 425–436. doi:10.1515/acv-2018-0027
info:cnr-pdr/source/autori:Dal Maso G.; De Luca L./titolo:A minimization approach to the wave equation on time-dependent domains/doi:10.1515%2Facv-2018-0027/rivista:Advances in calculus of variations (Print)/anno:2020/pagina_da:425/pagina_a:436/intervallo_pagine:425–436/volume:13

We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fbf8c6a626cf748cd0bf06b0462f0ac
https://hdl.handle.net/11568/934903

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