کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
785064 1465346 2013 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
General solution to the Hertz–Mindlin problem via Preisach formalism
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
General solution to the Hertz–Mindlin problem via Preisach formalism
چکیده انگلیسی

In this paper we analyze the contact problem for two elastic spheres with friction (the Hertz–Mindlin or HM problem) and present an original solution expressed in terms of the Preisach description. The major obstacle for an efficient use of the HM mechanics in the case of general loading histories lies in the complex memory-dependent and hysteretic behavior of the shear stress (traction) caused by the presence of irreversible slip in the contact zone. On the other hand, the Preisach formalism provides a versatile and powerful tool that is applicable to a wide class of systems with rate-independent hysteresis of any nature. The approach consists in a representation of a hysteretic system as a collection of bi-stable elements which can be switched from one state to another by an external action. An ensemble of the states of the elements determines all memory information contained in the system. Switching of elements is governed by a simple and easy-to-program procedure applicable to any kind of external action (protocol). We show that the two crucially identifying criterions of a generic Preisach system are verified within the HM mechanics and we calculate the characteristic parameters of the Preisach description. As a result, we obtain a compact and efficient analytical solution that allows to compute the hysteretic response in a direct way, i.e. without consideration of cumbersome traction distribution expressions.


► Contact of two spheres with friction reveals complex memory-dependent behavior.
► We show that the system can be described via the general Preisach model of hysteresis.
► We construct the Preisach density that incorporates all contact regimes.
► The derived solution is suitable for any loading protocols and loading conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 49, March 2013, Pages 15–30
نویسندگان
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