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| 40-1) COMPLEXITY, SCALING, AND NON-LINEARITY IN THE THERMOMECHANICS OF ADVANCED MATERIALS CARPINTERI. Alberto Politecnico di Torino Dept. of Structural Engineering Torino - Italy COLOMBO, L. Università di Cagliari - Dept. of Physics Cagliari - Italy DEL SANTO, P.P. Politecnico di Torino - Dept. of Physics Torino - Italy CLERI, Fabrizio ENEA, UTS Materiali e Nuove Tecnologie Roma - Italy cleri@casaccia.enea.it Abstract A given material could be defined "complex" as far as either its structure and its mechanical behaviour are considered. In the first case, we cope with its micro-/nano-structure which, in turns, makes it possible to classify the material itself as a composite, fiber-reinforced, granular, amorphous, defected, or martensitic one. Under this respect, a complex material is quite a different mechanical object than the homogeneous medium of elementary continuum mechanics. In the second case, we rather look at the complex response of a material to an arbitrary mechanical load, which could be elastic (both linear and non-linear) or plastic, brittle or ductile, tough or floppy. Such a response is due to a complex hirerachy of phenomena, including the creation, growth, interaction among micro-/nano-defetcs, phase/grain boundaries, lattice damage or even crack propagation (fracture). In both definitions as above, complexity means - in the specific case of mechanical properties - the superposition of a rich variety of multi-scale events (either in the length and time scales) typically falling beyond the linear response regime. The experimental, theoretical and computational investigation of the above systems/phenomena represents the core activity for the present Mini-Symposium. In particular, we call for contributions in the field of the fracture mechanics, here looked at as the paradigmatic mechanical event showing complex non-linear behaviour over several length scales. Accordingly, the Mini-Symposium will be focussed on fracture-related phenomena/models, including: (i) mathematical models aimed at developing constitutive models for the mechanical behaviour in the regime of complexity and non linearity; (ii) atomistic simulations aimed at drawing a fundamental picture about fracture at the nanoscale; (iii) algorithms and concepts for bridging the micro/macro length scales. The above topics are inherently multidisciplinary; such a multidisciplinary character, in fact, represents a key feature of the present Mini-Symposium. In particular, we aim at bringing togheter groups working within different scientific communities (physics, structural engineering, and applied mathematics), focussing on a comprehensive and predicting modelling of fracture-related phenomena. |
INDEX
SCALE EFFECTS COMPLEXITY, SCALING, AND NON-LINEARITY IN THE THERMOMECHANICS OF ADVANCED MATERIALS FROM MICRO - TO GLOBAL SCALE PHYSICS AND SCALING IN FRACTURE |
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BOTVINA, Ludmila R. |
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