کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418639 | 1339345 | 2013 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence and uniqueness results for a class of dynamic elasto-plastic contact problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence and uniqueness results for a class of dynamic elasto-plastic contact problems Existence and uniqueness results for a class of dynamic elasto-plastic contact problems](/preview/png/6418639.png)
چکیده انگلیسی
This paper focuses on a dynamical model for the motion of a visco-elasto-plastic body in contact with an elasto-plastic obstacle. The elastoplastic constitutive laws as well as the contact boundary condition are stated in terms of hysteresis operators. Under appropriate regularity assumptions on the initial data, we show that the resulting partial differential equation with hysteresis possesses a unique solution which is constructed by Galerkin approximations and the Minty trick. In the 1D case, the existence and uniqueness proof can be carried out without the viscosity assumption, and the necessary a priori estimates are derived from a hysteresis second order energy inequality.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 1, 1 December 2013, Pages 125-139
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 1, 1 December 2013, Pages 125-139
نویسندگان
Pavel KrejÄÃ, Adrien Petrov,