PSI - Issue 26

Jesús Toribio et al. / Procedia Structural Integrity 26 (2020) 354–359 Toribio / Structural Integrity Procedia 00 (2019) 000 – 000

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3.6. Material integrity The macro-, micro- and nano-levels allow the definition of material integrity (a new term that can be coined) at different length scales of analysis, and thus the science of fracture mechanics & structural integrity can be considered

as a branch of material science & engineering. 4. Epilogue on fracture: A Picassian approach

The concept of fracture can also be applied to arts (e.g., painting). In this conceptual framework, cubist painting by Picasso (Fig. 8) represents a fracture event in the history of art , with a change in viewpoint and a broken line.

Fig. 8. Painting by Picasso ( Three musicians )

5. Epilogue on structural integrity: A Bachian approach On the basis of the multi-scale approach to the concept of structural integrity a link can be established with the multi-scale ( multi-level or multi-layer ) structure of Johann Sebastian Bach’s music. One excellent example is the Christmas Oratorio composed by six Cantatas (macro-structure), each of them with its own micro-structure (consisting of contrasting sections of recitatives, arias and choruses). Fig. 9 shows the portrait of Johann Sebastian Bach and some early bars of the Fugue No 1 in C Major BWV 846 of The Well-Tempered Clavier (Book I). The (macro-) structure of the fugue itself contains (micro-) structure of thematic sections ( subject and counter-subject ) and connecting passages ( episodes or divertimenti ).

Fig. 9. Johann Sebastian Bach with the canon triplex (portrait by Elias Gottlob Haussmann), and bars of the Fugue No 1 in C Major BWV 846 of The Well-Tempered Clavier (Book I).