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Materials as the Simplest Self-Organised Systems, and the Consequences of This

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Fracture at all Scales

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The mechanical testing of a material is a simple procedure that records the response of a specimen to an external effect. The recorded result reflects some kind of damage process that takes place in the material for given external conditions. This damage process can be considered to be the response of a self-organised system. If a single damage process takes place during the testing (or one process predominates), then the simplest testing evaluation procedure would be based on a power law relationship with two parameters, i.e. the response of the material is proportional to the external effect. This approach raises two questions. Why does a single (unknown) damage process require two parameters to characterise it? If the same external conditions are applied for a group of materials and the responses of those materials (the damage process) are also the same, is there a correlation of the power relationship parameters between the materials in the group? These questions will be discussed in this paper.

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Acknowledgments

The paper is dedicated to the memory of Prof. Stojan Sedmak, a perfect mechanical engineer who performed reliability assessment of engineering components and structures under different operating conditions. From the various items discussed in this paper it directly follows that a reliability assessment of structures operating under the circumstances can be performed through only a single empirical material property. Given the statistical nature of the material parameters, the reliability of lifetime estimates can be directly evaluated from the distribution functions of the single material parameters.

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  1. Bay Zoltán Nonprofit Ltd. for Applied Research, Engineering Division, Iglói Str. 2, Miskolc, 3519, Hungary

    L. Tóth

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  1. L. Tóth
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Correspondence to L. Tóth .

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Editors and Affiliations

  1. LABPS, ENIM, Metz, France

    Guy Pluvinage

  2. Faculty of Tech & Metallurgy, University of Beograd, Beograd, Serbia

    Ljubica Milovic

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Tóth, L. (2017). Materials as the Simplest Self-Organised Systems, and the Consequences of This. In: Pluvinage, G., Milovic, L. (eds) Fracture at all Scales. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-32634-4_3

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  • DOI: https://doi.org/10.1007/978-3-319-32634-4_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32633-7

  • Online ISBN: 978-3-319-32634-4

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