Editorial Special Issues

Variational models in elasticity

  • This contribution is part of the Special Issue: Variational Models in Elasticity
    Guest Editors: Lucia De Luca; Marcello Ponsiglione
    Link: www.aimspress.com/mine/article/5510/special-articles
  • Received: 17 June 2020 Accepted: 17 June 2020 Published: 29 June 2020
  • Citation: L. De Luca, M. Ponsiglione. Variational models in elasticity[J]. Mathematics in Engineering, 2021, 3(2): 1-4. doi: 10.3934/mine.2021015

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    [1] Alicandro R, De Luca L, Garroni A, et al. (2014) Metastability and dynamics of discrete topological singularities in two dimensions: A Γ-convergence approach. Arch Ration Mech Anal 214: 269-330.
    [2] Allaire G (2012) Shape Optimization by the Homogenization Method, Springer Science & Business Media.
    [3] Almi S, Lazzaroni G, Lucardesi I (2020) Crack growth by vanishing viscosity in planar elasticity. Mathematics in Engineering 2: 141-173.
    [4] Ambrosio L (1990) Existence theory for a new class of variational problems. Arch Ration Mech Anal 111: 291-322.
    [5] Ball JM (1976) Convexity conditions and existence theorems in nonlinear elasticity. Arch Ration Mech Anal 63: 337-403.
    [6] Ball JM, James RD (1987) Fine phase mixtures as minimizers of energy. Arch Ration Mech Anal 100: 13-52.
    [7] Bellettini G, Coscia A, Dal Maso G (1998) Compactness and lower semicontinuity properties in S BD(?). Math Z 228: 337-351.
    [8] Bethuel F, Brezis H, Hélein F (1994) Ginzburg-Landau Vortices, Boston: Birkhäuser.
    [9] Braides A, Defranceschi A (1998) Homogenization of Multiple Integrals, New York: Oxford University Press.
    [10] Canevari G, Zarnescu A (2020) Polydispersity and surface energy strength in nematic colloids. Mathematics in Engineering 2: 290-312.
    [11] Crismale V, Orlando G (2020) A lower semicontinuity result for linearised elasto-plasticity coupled with damage in W1, γ, γ > 1. Mathematics in Engineering 2: 101-118.
    [12] Dal Maso G (2012) An Introduction to Γ-Convergence, Springer Science & Business Media.
    [13] Dal Maso G (2013) Generalised functions of bounded deformation. J Eur Math Soc 15: 1943-1997.
    [14] De Philippis G, Rindler F (2020) Fine properties of functions of bounded deformation - an approach via linear PDEs, Mathematics in Engineering 2: 386-422.
    [15] Franfcfort GA, Marigo JJ (1998) Revisiting brittle fracture as an energy minimization problem. J Mech Phys Sol 46: 1319-1342.
    [16] Friedrich M (2020) Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials. Mathematics in Engineering 2: 75-100.
    [17] Friesecke G, James RD, Müller S (2002) A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Commun Pure Appl Math 55: 1461-1506.
    [18] Giacomini A, Ponsiglione M (2006) A Γ-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications. Arch Ration Mech Anal 180: 399-447.
    [19] Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans Royal Soc A 221: 163-198.
    [20] Mateu J, Mora MG, Rondi L, et al. (2020) A maximum-principle approach to the minimisation of a nonlocal dislocation energy. Mathematics in Engineering 2: 253-263.
    [21] Novaga M, Pozzetta M (2020) Connected surfaces with boundary minimizing the Willmore energy. Mathematics in Engineering 2: 527-556.
    [22] Suquet PM (1978) Existence et régularité des solutions des équations de la plasticité. C R Acad Sci Paris Sér A 286: 1201-1204.
    [23] Tartar L (2009) The general theory of homogenization: A personalized introduction, Springer Science & Business Media.
    [24] Zeppieri CI (2020) Homogenisation of high-contrast brittle materials. Mathematics in Engineering 2: 174-202.
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