C. Mora-Corral, Approximation by piecewise homeomorphisms of Sobolev homeomorphisms that are smooth outside a point. Houston J. Math. 35 (2009) 515–539.

J. M. Ball and C. Mora-Corral, A variational model allowing both smooth and sharp phase boundaries in solids. Commun. Pure Appl. Anal. 8 (2009) 55–81.

C. Mora-Corral, Continuum limits of atomistic energies allowing smooth and sharp interfaces in 1D Elasticity. Interfaces Free Bound. 11 (2009) 421–446.

D. Henao and C. Mora-Corral, Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity. Arch. Rational Mech. Anal. 197 (2010) 619–655.

C. Mora-Corral, Explicit energy-minimizers of incompressible elastic brittle bars under uniaxial extension. C. R. Acad. Sci. Paris, Ser. I 348 (2010) 1045–1048.

J. C. Bellido and C. Mora-Corral, Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms. Houston J. Math. 37 (2011) 449–500.

D. Henao and C. Mora-Corral, Fracture surfaces and the regularity of inverses for BV deformations. Arch. Rational Mech. Anal. 201 (2011) 575–629.

D. Henao and C. Mora-Corral, Lusin's condition and the distributional determinant for deformations with finite energy. Adv. Calc. Var. 5 (2012) 355–409.

C. Mora-Corral, Quasistatic evolution of cavities in nonlinear elasticity. SIAM J. Math. Anal. 46 (2014) 532-571.

J. C. Bellido and C. Mora-Corral, Existence for nonlocal variational problems in Peridynamics. SIAM J. Math. Anal. 46 (2014) 890–916.

C. Mora-Corral and A. Pratelli, Approximation of piecewise affine homeomorphisms by diffeomorphisms. J. Geom. Anal. 24 (2014) 1398–1424.

D. Henao and C. Mora-Corral, Regularity of inverses of Sobolev deformations with finite surface energy. J. Funct. Anal. 268 (2015) 2356–2378.

D. Henao, C. Mora-Corral and X. Xu, Γ-convergence approximation of fracture and cavitation in nonlinear elasticity. Arch. Rational Mech. Anal. 216 (2015) 813–879.

J. C. Bellido, C. Mora-Corral and P. Pedregal, Hyperelasticity as a Γ-limit of Peridynamics when the horizon goes to zero. Calc. Var. Partial Differential Equations 54 (2015) 1643–1670. Addendum in 54 (2015) 1671.

S. Hencl and C. Mora-Corral, Diffeomorphic approximation of continuous almost everywhere injective Sobolev deformations in the plane. Quart. J. Math. 66 (2015) 1055–1062.

D. Henao, C. Mora-Corral and X. Xu, A numerical study of void coalescence and fracture in nonlinear elasticity. Comput. Methods Appl. Mech. Engrg. 303 (2016) 163–184.

M. Barchiesi, D. Henao and C. Mora-Corral, Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity. Arch. Rational Mech. Anal. 224 (2017) 743–816.

C. Mora-Corral and M. Strugaru, Necking in 2D incompressible polyconvex materials: theoretical framework and numerical simulations. Q. J. Mechanics Appl. Math. 70 (2017) 249–271.

D. Faraco, C. Mora-Corral and M. Oliva, Sobolev homeomorphisms with gradients of low rank via laminates. Adv. Calc. Var. 11 (2018) 111–138.

J. C. Bellido and C. Mora-Corral, Lower semicontinuity and relaxation via Young measures for nonlocal variational problems and applications to peridynamics. SIAM J. Math. Anal. 50 (2018) 779–809.

M. Kruzík, C. Mora-Corral and U. Stefanelli, Quasistatic elastoplasticity via peridynamics: existence and localization. Continuum Mech. Thermodyn. 30 (2018) 1155–1184.

C. Mora-Corral and M. Oliva, Relaxation of nonlinear elastic energies involving deformed configuration and applications to nematic elastomers. ESAIM Control Optim. Calc. Var. 25 (2019), Art. 19.

C. Mora-Corral and A. Tellini, Relaxation of a scalar nonlocal variational problem with a double-well potential. Calc. Var. 59 (2020), Art. 67.

J. C. Bellido, J. Cueto and C. Mora-Corral, Fractional Piola identity and polyconvexity in fractional spaces. Ann. I. H. Poincaré – AN 37 (2020) 955–981.

J. C. Bellido, J. Cueto and C. Mora-Corral, Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero. J. Elast. 141 (2020) 273–289.

R. Ortigosa, J. Martínez-Frutos, C. Mora-Corral, P. Pedregal and F. Periago, Optimal control of soft materials using a Hausdorff distance functional. SIAM J. Control Optimization 59 (2021) 393–416.

J. C. Bellido, J. Cueto and C. Mora-Corral, Γ-convergence of polyconvex functionals involving s-fractional gradients to their local counterparts. Calc. Var. 60:7 (2021).

D. Henao, C. Mora-Corral and M. Oliva, Global invertibility of Sobolev maps. Adv. Calc. Var. 14 (2021) 207–230.

R. Ortigosa, J. Martínez-Frutos, C. Mora-Corral, P. Pedregal and F. Periago, Optimal control and design of magnetic field-responsive smart polymer composites. Applied Mathematical Modelling 103 (2022) 141–161.

A. Baíllo. J. Cárcamo and C. Mora-Corral, Extreme points of Lorenz and ROC curves with applications to inequality analysis. J. Math. Anal. Appl. 514 (2022) 126335.

M. Hakimzadeh, V. Agrawal, K. Dayal and C. Mora-Corral, Phase-field finite deformation fracture with an effective energy for regularized crack face contact. J. Mech. Phys. Solids 167 (2022) 104994.

Recent publications

My main research field lies in the applications of Mathematics to Solid Mechanics. I am especially interested in nonconvex vectorial problems in Calculus of Variations arising in nonlinear elasticity theory. I also work on related free discontinuity problems such as fracture and cavitation in solids. Part of my research focuses in the modelling of non-self-penetration of matter and the constraint of injectivity. I also study nonlocal models in Mechanics. Applications include the study of smart materials and the analysis of inequality in populations.

Past research includes the study of algebraic multiplicities for families of Fredholm operators, and their applications to Bifurcation Theory.

Research interests

Degree (2000) and PhD (2004) at University Complutense of Madrid.

Postdoctoral research assistant at Oxford University, 2004–2008.

Researcher at BCAM – Basque Center for Applied Mathematics, 2008–2011.

Ramón y Cajal Professor. Universidad Autónoma de Madrid. 2011–2017.

Associate Professor (Profesor Contratado Doctor). Universidad Autónoma de Madrid. 2017–2022.

Previous positions