PSI - Issue 26

Jesús Toribio et al. / Procedia Structural Integrity 26 (2020) 376–382 Toribio / Structural Integrity Procedia 00 (2019) 000 – 000

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choruses). Another beautiful evidence of multi- level structure of Bach’s music is given in Fig. 5 showing 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), i.e., it is a hierarchical structure like that of the cold drawn pearlitic steel wires.

Fig. 4. Johann Sebastian Bach with the canon triplex (portrait by Elias Gottlob Haussmann).

Fig. 5. Fugue No 1 in C Major BWV 846 of The Well-Tempered Clavier (Book I).

5. Painting and fracture mechanics As described by Toribio (2019), the anisotropic fracture of cold drawn pearlitic steel (with deflected polygonal cracks and mixed mode propagation ) resembles the cubist painting by Pablo Picasso (Fig. 6), not only because of the broken line after crack deflection/deviation, but also on the basis of a real change of viewpoint in painting .

Fig. 6. Painting by Picasso: Woman in Hat and Fur Collar (Marie- Thérèse Walter) .