Departamento de Matemática

Sala/Gabinete 6.2.20
Ext. Principal 26220
Telefone Direto 217500486
Página Pessoal

Carreira Docente Universitário
Categoria Professor Associado com Agregação



Interesses Científicos

My research interests are connected to defect modelling in solid materials. This encompasses damage-based fracture in elastic and elasto/plastic materials, and dislocation and disclinations modelling in single crystals.

The mathematical tools used and developed for this purposes are variational methods, differential geometry and topological sensitivity analysis. Linear and nonlinear elasticity, plasticity, Continuum mechanics and thermodynamics are investigated to develop these models.

Theoretical and numerical results are sought.

Publicações selecionadas
  • On integral representation of local energy functionals on BD, SIAM J. Math. Anal., 52(4), 4022-4067, 2020
  • Variational approach to single crystals with dislocations, SIAM J. Math. Anal., 51 (1), 489–531, 2019
  • Analysis of the incompatibility operator and application in intrinsic elasticity with dislocations, Siam J. Math. Analysis, 48 (1), 320-348, 2016
  • Topological sensitivity analysis for elliptic differential operators of order 2m, J. Diff. Eqs., 256 (4), 1735-1770, 2014.
  • Damage and crack evolution by shape optimization methods, J. Comput. Phys. 230 (12), 5010-5044, 2011

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