J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Archive for Rational Mechanics and Analysis, vol.8, issue.4
DOI : 10.6028/jres.075B.007

J. M. Ball, Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.306, issue.1496
DOI : 10.1098/rsta.1982.0095

C. Carstensen and F. Hellwig, Low-order discontinuous Petrov-Galerkin finite element

D. A. Di-pietro and S. Krell, A Hybrid High-Order method for the steady incompressible 558

?. Navier, J. Stokes, B. P. Droniou, and . Lamichhane, Gradient schemes for linear and non-linear elasticity 560 equations, Numer. Math, vol.129, issue.2, pp.251-277, 2015.

. J. Internat, R. Numer, C. Eymard, . Guichard-]-p, M. G. Hansbo et al., The discontinuous Galerkin gradient discretisation Discontinuous Galerkin methods for incompressible and nearly 566 incompressible elasticity by Nitsche's method, Proix, M. Salvo, J. Sercombe, and M. Casella. Introducing 569 the open-source mfront code generator: Application to mechanical behaviours and material 570 knowledge management within the PLEIADES fuel element modelling platform. Comput, pp.1129-1148, 1985.

H. Kabaria, A. J. Lew, B. Cockburn, J. Krämer, C. Wieners et al., A hybrid weakly nonconforming 579 discretization for linear elasticity Hybrid Discontinuous Galerkin methods for solving incompressible flow prob- 581 lems Optimal BV estimates for a discontinuous Galerkin 583 method for linear elasticity. AMRX Appl A numerical study on cavitation in nonlinear elasticity?defects and 585 configurational forces Hybridizable discontinuous Galerkin methods for partial dif- 587 ferential equations in continuum mechanics A general discontinuous Galerkin method for finite hyper- 589 elasticity. Formulation and numerical applications Non-linear elastic deformations, A hybridizable discontinuous Galerkin formulation 577 for non-linear elasticity. Comput. Methods Appl Hybridizable Discontinuous Galerkin Method for Solid Mechanics Soon, B. Cockburn, and H. K. Stolarski. A hybridizable discontinuous Galerkin method 595 for linear elasticity39] A. ten Eyck, F. Celiker, and A. Lew. Adaptive stabilization of discontinuous Galerkin methods 597 for nonlinear elasticity: analytical estimates40] A. ten Eyck, F. Celiker, and A. Lew. Adaptive stabilization of discontinuous Galerkin methods 600 for nonlinear elasticity: motivation, formulation, and numerical examples. Comput. Methods 601, pp.576303-329, 1997.

. Appl, . Mech, A. Eyck, C. Lew, J. Wang et al., Discontinuous Galerkin methods for non-linear elasticity A locking-free weak Galerkin finite element 605 method for elasticity problems in the primal formulation Efficient virtual element formulations 608 for compressible and incompressible finite deformations, 44] S. Wulfinghoff, H. R. Bayat, A. Alipour, and S. Reese. A low-order locking-free hybrid 610 discontinuous Galerkin element formulation for large deformations. Comput. Methods Appl, pp.45-483605, 2006.

. Mech and . Engrg, An efficient numerical method for cavitation in nonlinear elasticity, pp.353-372, 2017.