Research interests:
- Optimization
- Non-local variational problems
- Peridynamics
Articles:
- J.C. Bellido, J. Cueto, C. Mora-Corral, Fractional Piola identity and polyconvexity in fractional spaces, Ann. I. H. Poincaré – AN (2020)
- J.C. Bellido, J. Cueto, C. Mora-Corral, Bond-based peridynamics does not converge to hyperelasticity as the horizon goes to zero, J. Elasticity, 141 (2020), pp. 273-289.
- J.C. Bellido, J. Cueto, C. Mora-Corral, Γ-convergence of polyconvex functionals involving s-fractional gradients to their local counterparts, Calc. Var. Partial Differential Equations, 60 (2021)
- J.C. Bellido, J. Cueto, C. Mora-Corral, Nonlocal gradients in bounded domains motivated by Continuum Mechanics: Fundamental Theorem of Calculus and embeddings , Advances in Nonlinear Analysis 12 (2023), no. 1, 20220316.
- J.C. Bellido, J.Cueto, C. Mora-Corral, Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity, Advances in Calculus of Variations (2023)
- J. Cueto, C. Kreisbeck, H. Schönberger, A Variational Theory for Integral Functionals involving Finite-Horizon Fractional Gradients Fractional Calculus and Applied Analysis (2023)
- J.C. Bellido, J.Cueto, C. Mora-Corral, Eringen’s model via linearization of nonlocal hyperelasticity, Mathematics and Mechanics of Solids (2023)
- J.C. Bellido, J.Cueto, M. Foss, P. Radu, Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients, Preprint(2023)
Thesis:
Mathematical analysis of fractional and nonlocal models from nonlinear Solid Mechanics