Nicolas Van Goethem
UNIVERSIDADE DE LISBOA
FACULDADE DE CIÊNCIAS
Centro de Matemática e Aplicações Fundamentais
(CMAFCIO research center)
Campo Grande, Edifício C6, Piso 2, 1749-016 - Lisboa
Phone [+351] 217500486 (office) [+351] 930416751 (mobile)
Faculty Researcher (Investigador FCT 2013--Starting Grant)
- PROJECT & GROUP: MATH2DISLOC (FCT Grant, PI)
- Members: Pedro Campos (9/2017--)
- Former members: Riccardo Scala (1/2017-06/2018), Marco Caroccia (9/2017-8/2018)
- Associate professorship qualification (Italy, 2013)
- Curriculum: March 2019
Field: Mathematical modelling in material science: theory, numerics & applications.
Current project: Inelastic solids with defect singularities: mathematical analysis for models of fracture and dislocations.
Topics: Continuum mechanics & thermodynamics of defects in solids (damage, fracture & dislocations); Finite elasticity & linearized elasto-plasticity; Axiomatic approach to thermodynamics; Variational methods in material science: Gamma-convergence & shape and topological optimization methods (theory and numerics); Partial differential equations (elliptic & parabolic) and functional analysis; Geometric measure theory (theory of currents for dislocation modelling);
Differential geometry (non-Riemannian geometry of crystals with defects).
My research interests are connected to defect modelling in solid materials by mathematical analysis. 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. Continuum mechanics and thermodynamics are also required to comprehend the involved phenomena and further develop these models. Theoretical and numerical results are sought.
Thomson Reuters Researcher ID -
Scopus ID -
Google Scholar Profile -
with S. Amstutz: Existence and asymptotic results for an intrinsic model of incompatible elasticity (2019).
HAL preprint N. hal-01651821 . Link to file: preprint
with R. Scala: A variational approach to single crystals with dislocations,
Siam J. Math. Analysis, 51 (1) (2019).Link to file: published version
with R. Scala: Analytic and geometric properties of dislocation singularities,
RSE Proc. A Math (2019).Link to file: published version
with S. Amstutz: Incompatibility-governed elasto-plasticity for continua with dislocations,
Proc. R. Soc. Lond., Ser. A 473: 20160734 (2017). Link to file: published version
with S. Amstutz: Analysis of the incompatibility operator and application in intrinsic elasticity with dislocations,
Siam J. Math. Analysis, 48 (1) (2016).
Link to file: published version
with S. Amstutz and A. Novotny: Topological sensitivity analysis for
elliptic differential operators of order 2m,
J. Diff. Eqs. 256 (4) (2014) 1735-1770. Link to file: published version
- with F. Dupret: A distributional approach to 2D Volterra dislocations at the continuum scale,
Europ. Jnl. Applied Math. 23 (3) (2012) 417-439. Link to file: published version
- with G. Allaire, F. Jouve: Damage and crack evolution by shape optimization methods,
J. Comput. Phys. 230 (12) (2011) 417-4395010-5044. Link to file: published version
Recent preprints go to CMAF preprint server -
Download publications try Researchgate