Hello,
As the question suggest, I am curious to know if there are good papers/textbooks on understanding the reloading between yielded and unyielded surfaces.
Say I have a yielded surface due to the elastoplastic contact between two metallic spheres. I unload them and reload them slightly offset from their previous contact positions such that the contact area overlaps previously contacted ( and yielded regions) and virgin non-contacted material.
How would contact during this loading work?
Hi Devanjith,
a simple approach would be, to study the new contact problem the same way as always, with the gap between the surfaces changed due to yielding. However, this problem will be asymmetric, so you probably won't find textbook solutions. FEM or BEM simulations should work just fine, though.
Bigger problem with that idea is, that
"once the sphere is completely unloaded, a complex state of residual stresses remains in the body of the sphere due to the sustained plastic deformation." [1]
Multiple elasto-plastic loading on the same spot has been studied in detail in [2].
Best regards,
Emanuel
[1] Ghaednia, H.; Wang, X.; Saha, S.; Xu, Y.; Sharma, A.; Jackson, R.L.: A Review of Elastic–Plastic Contact Mechanics. Applied Mechanics Review, 69(6), 060804 (30 pages) (2017)
[2] Y. Kadin, Y. Kligerman, I. Etsion: Multiple loading–unloading of an elastic–plastic spherical contact. International Journal of Solids and Structures, 43(22-23), 7119-7127 (2006)
Hi Emanuel Willert
Thanks for your answer. Are you aware of any papers which have done FEM simulations on this problem? I have read Etison's paper which you have mentioned but I haven't read the other. Thanks for these resources.
Best,
Devanjith
No, your precise situation I haven't seen yet in papers.
Best regards
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