A fully consolidated Applied Mechanics Forum is now functional at iMechanica. I have appended my links though retaining most of my previous links.
I recently found an old paper (1953) by C.K. Liu “Stresses due to tangential and normal loads on an elastic solid with application to some contact stress problems” in the Journal of Applied Mechanics. Extension of this solution to Anisotropic bodies are currently available (See C. Hwu’s papers for transveresly isortropic bodies) mostly using Stroh Formalism with integral transform techniques. However, I have not been successful in finding a paper solving a similar contact problem using Lekhnitskii’s approach! well, I will keep looking. 🙂
I.S. Jawahir’s talk:
The talk presented a synthesis of the existing slip-line models in metal cutting theory with emphasis on the work done by their group based on the universal slip-line model. Though most of these metal-cutting models cannot be extended to composite machining due to the inherent differences between metals and composites, it was interesting to see their approach. The most surprising part was the definition of friction coefficient on the tool-chip interface. Instead of the friction coefficient, they have defined a tau/k equivalent term. Due to the excessive temperatures at this interface, this quantity is estimated using regression analysis. This difficulty in establishing a valid friction coefficient is hightened due to the inability to correctly evaluate the temperatures at this interface. Dr. Fang, a previous student of Dr. Jawahir elaborated on this in a subsequent session. He suggested taking the “optimal” coefficient that would yield the best solutions which surely doesnt seem accurate to say the least! Consequently, further research in this field was conferred quintessential. 🙂
Dr. Jawahir’s talk reminded me in many ways of Dr. Ramulu’s lecture, bubbling with energy and enthusiasm, even the jokes! 🙂 For once I was grateful for the absent speakers, he spoke for a good 40 minutes.