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Fracture Mechanics and Complexity Sciences

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Abstract

The so-called Complexity Sciences are a topic of fast growing interest inside the scientific community. Actually, researchers did not come to a definition of complexity, since it manifests itself in so many different ways [1]. This field itself is not a single discipline, but rather a heterogeneous amalgam of different techniques of mathematics and science. In fact, under the label of Complexity Sciences we comprehend a large variety of approaches: nonlinear dynamics, deterministic chaos theory, nonequilibrium thermodynamics, fractal geometry, intermediate asymptotics, complete and incomplete similarity, renormalization group theory, catastrophe theory, self-organized criticality, neural networks, cellular automata, fuzzy logic, etc.

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  • DOI: 10.1007/1-4020-4972-2_4
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References

  1. Garrido, M.S. and Vilela Mendes, R., Complexity in physics and technology, World Scientific, Singapore, 1992.

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  2. Carpinteri, A., In Application of Fracture Mechanics to Cementitious Composites (Proceedings of a NATO Advanced Research Workshop, Evanston, USA, 1984), edited by S.P. Shah, Martinus Nijhoff Publishers, Dordrecht, 1985, 287–316.

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  5. Carpinteri, A., Int. J. Solids Struct., vol. 31, 291–302, 1994.

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  6. Carpinteri, A., Lacidogna, G. and Pugno, N., In Fracture Mechanics of Concrete and Concrete Structures (Proceedings of the 5th International FraMCoS Conference, Vail, Colorado, USA, 2004), edited by V.C. Li et al., 2004, vol. 1, 31–40.

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  7. Carpinteri, A. and Pugno, N., J. Appl. Mech., in print.

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© 2006 Springer

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Carpinteri, A., Puzzi, S. (2006). Fracture Mechanics and Complexity Sciences. In: Gdoutos, E.E. (eds) Fracture of Nano and Engineering Materials and Structures. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4972-2_4

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  • DOI: https://doi.org/10.1007/1-4020-4972-2_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4971-2

  • Online ISBN: 978-1-4020-4972-9

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