Summary
The fundamental equations for a poroelastic material are employed assuming the bodies coming into contact to have a local spherical symmetry. Equations for the stress at timest=0 andt=∞ following the application of the load are derived in closed form. The trajectories of principal stresses are determined and displayed on graphs, the graph att=∞ coinciding qualitatively with the one resulting from Hertz's theory.
Zusammenfassung
Unter der Anahme, daß die in Kontakt befindlichen Körper lokale Kugelsymmetrie besitzen, werden die Grundgleichungen eines porös-elastischen Werkstoffes verwendet. Gleichungen für den Spannungszustand zu den Zeitent=0 undt=∞ werden in geschlossener Form angegeben. Die Hauptspannungstrajektorien werden bestimmt und graphisch dargestellt. Die Abbildung fürt=∞ stimmt qualitativ mit der nach der Hertzschen Theorie überein.
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Bargar, W.L., Nowinski, J.L. The Hertz problem for rheological materials of a poroelastic class. Acta Mechanica 20, 217–231 (1974). https://doi.org/10.1007/BF01175925
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DOI: https://doi.org/10.1007/BF01175925