Derivation of imperfect interface models coupling damage and temperature

Computers & Mathematics with Applications - Tập 77 - Trang 2906-2916 - 2019
Elena Bonetti1, Giovanna Bonfanti2, Frédéric Lebon3
1Department of Mathematics, University of Milano, Italy
2Department DICATAM - Section of Mathematics, University of Brescia, Italy
3Aix-Marseille Univ., CNRS, Centrale Marseille, LMA, France

Tài liệu tham khảo

Bornert, 2001

Challamel, 2011, Boundary-layer effect in composite beams with interlayer slip, J. Aerosp. Eng., 24, 199, 10.1061/(ASCE)AS.1943-5525.0000027

Fouchal, 2014, An interface model including cracks and roughness applied to masonry, Open Civ. Eng. J., 8, 263, 10.2174/1874149501408010263

Geymonat, 1999, Mathematical analysis of a bonded joint with a soft thin adhesive, Math. Mech. Solids, 4, 201, 10.1177/108128659900400204

Hashin, 2002, Thin interphase/imperfect interface in elasticity with application to coated fiber composites, J. Mech. Phys. Solids, 50, 2509, 10.1016/S0022-5096(02)00050-9

Lebon, 2008, Asymptotic study on a soft thin layer: The non-convex case, Mech. Adv. Mater. Struct., 15, 12, 10.1080/15376490701410521

Bonetti, 2017, A model of imperfect interface with damage, Meccanica, 52, 1911, 10.1007/s11012-016-0520-1

Bonetti, 2008, Well-posedness results for a model of damage in thermoviscoelastic materials, Ann. Inst. H. Poincaré Anal. Non Linéaire, 25, 1187, 10.1016/j.anihpc.2007.05.009

Frémond, 1987, Adhérence des solides, J. Méc. Théor. Appl., 6, 383

Frémond, 2001

Klarbring, 1991, Derivation of the adhesively bonded joints by the asymptotic expansion method, Internat. J. Engrg. Sci., 29, 493, 10.1016/0020-7225(91)90090-P

Bonetti, 2008, Global existence for a contact problem with adhesion, Math. Methods Appl. Sci., 31, 1029, 10.1002/mma.957

Bonetti, 2009, Thermal effects in adhesive contact: modelling and analysis, Nonlinearity, 22, 10.1088/0951-7715/22/11/007

Bonetti, 2014, Analysis of a temperature-dependent model for adhesive contact with friction, Physica D, 285, 29, 10.1016/j.physd.2014.06.008

Dumont, 2014, An asymptotic approach to the adhesion of thin stiff films, Mech. Res. Commun., 58, 24, 10.1016/j.mechrescom.2014.01.007

Lebon, 2013, Modeling a hard, thin curvilinear interface, Discrete Contin. Dyn. Syst. Ser. S, 6, 1569, 10.3934/dcdss.2013.6.1569

Lebon, 2004, Asymptotic analysis of some non-linear soft thin layers, Comput. Struct., 82, 1929, 10.1016/j.compstruc.2004.03.074

Rizzoni, 2017, On Saint Venant - Kirchhoff Imperfect interfaces, Int. J. Nonlinear Mec., 89, 101, 10.1016/j.ijnonlinmec.2016.12.002

Raffa, 2018, Derivation of a model of imperfect interface with finite strains and damage by asymptotic techniques. Application to masonry structures, Meccanica, 53, 1645, 10.1007/s11012-017-0765-3