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Damage and rupture in structures

par Alexandre MARTIN - 7 août 2013

In order to model and simulate correctly damage for a wide range of applications (brittle or ductile rupture, fatigue) a wide range of materials (metals, concretes, geo-materials) and a wide range of loadings (static, cyclic, dynamic, impact dynamic) different aspects must be investigated amongst which we denote :

  • Theoretical aspects linked to non local formulations (which need an adaptation of usual thermo-dynamical standard formalism) ;
  • Theoretical or phenomenological model aspects (rupture mechanics of cohesive zones, model for the perforation of concrete under impact, analysis of multi-axial criteria in thermal fatigue under variable amplitude loading) ;
  • Numerical aspects such as robustness of the produced results, with a strong interaction with the third research operation on computational mechanics ;
  • Validation and applications to real-size structures, fundamental to claim that the objectives of the laboratory were reached (studies, benchmarking and developments concerning the global approach in the field of non linear mechanics for the rupture).

Collaborations on this theme were initiated by a concerted CNRS-DGA-MNRT action (Sustainable Energy Conception 2004) called « Damage calculation : simulating and predicting the mechanical ageing of energy production and transportation facilities ». 4 other laboratories were also concerned (LPMTM, CDM ENSMP, LMS-X, and Cerfacs-O). It gave us the opportunity of hiring a one year post-doc in 2006-2007, working on numerical aspects in order to take care of localization in damage models.

Even though the research actions and produced results may seem to be too numerous (remark that can be extended to the research activity of the laboratory), the coherence of this research operation is to be found in the applications to real or realistic structures. This leads to energetic formulations that are well adapted to such problems, even if detailed material research, done by other teams in the field of material science, is not always accounted for. This last remark gives its unity to the developments realised and links naturally this operation to the third one, since energetic methods are well suited for numerical simulations.