Checking the Triple Product Rule for the Compression and Stretching of Materials

Authors

  • Igor A. Stepanov Institute of Science and Innovative Technologies, Liepaja University, Liepaja, LV3401, Latvia

DOI:

https://doi.org/10.14738/aivp.1306.19649

Keywords:

Euler’s Chain Relationship, Cyclic relation, Cyclic chain rule, Compression, Expansion, Elastomers, Rubber

Abstract

It is shown here that the well-known thermodynamic relation which stems from the triple product rule is not valid for descriptions of the compression and stretching of almost all materials.

References

G.M. Fihtengolc, Kurs differencialnogo i integralnogo ischislenija. (A course of differential and integral calculus.) Vol. 1, 1951, Moscow. Gosizdat, p.432.

I.A. Stepanov. Comment on ‘The Triple Product Rule and the Subtleties of the Mathematical Tools Used in Thermodynamics’ by Felipe Américo Reyes Navarro and Rafael Edgardo Carlos Reye,’ Indian Journal of Advanced Mathematics Vol.5, No.2, 2025, pp.41,42). DOI: 10.54105/ijam. B1223.05021025 (free online)

I.A. Stepanov, “Entropy change in materials under compression and expansion,” Mater. Lett. vol. 234, Sept. 2019, pp. 38−39. https://doi.org/10.1016/j.matlet.2018.09.052

H.B. Carrolla, M. Eisner and R.M. Henson, “Rubber band experiment in thermodynamics,” Am. J. Phys. vol. 31, 1963, p.808. doi: 10.1119/1.1969109

J. B. Brown, Thermodynamics of a Rubber Band, Am. J. Phys. 31, 397 (1963); doi: 10.1119/1.1969535

F.R. Hilgeman and A.A. Alcaraz, “Using latex elastomer to illustrate Euler's chain relationship,” J. Chem. Edu., vol. 79, 2002, pp.78−80. https://doi.org/10.1021/ed079p78

Downloads

Published

2025-12-21

How to Cite

Stepanov, I. A. (2025). Checking the Triple Product Rule for the Compression and Stretching of Materials. European Journal of Applied Sciences, 13(06), 253–255. https://doi.org/10.14738/aivp.1306.19649