Research interests:

  • Optimization
  • Non-local variational problems
  • Peridynamics

Articles:

  1. J.C. Bellido, J. Cueto, C. Mora-Corral, Fractional Piola identity and polyconvexity in fractional spaces, Ann. I. H. Poincaré – AN (2020)
  2. 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.
  3. 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)
  4. 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.
  5. J.C. Bellido, J.Cueto, C. Mora-Corral, Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity, Advances in Calculus of Variations (2023)
  6. J. Cueto, C. Kreisbeck, H. Schönberger, A Variational Theory for Integral Functionals involving Finite-Horizon Fractional Gradients   Fractional Calculus and Applied Analysis (2023)
  7. J.C. Bellido, J.Cueto, C. Mora-Corral, Eringen’s model via linearization of nonlocal hyperelasticity, Mathematics and Mechanics of Solids (2023)
  8. 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