کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899951 1631553 2018 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Potential method in the linear theory of triple porosity thermoelasticity
ترجمه فارسی عنوان
روش پتانسیل در نظریه خطی ترموالاستقالتی تخلخل سه گانه
کلمات کلیدی
ترموالاستیک، تخلخل سه گانه، نظریه ی منحصر به فرد و وجود، روش بالقوه،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper the linear theory of triple porosity thermoelasticity is considered and the basic internal and external boundary value problems (BVPs) of steady vibrations are investigated. Indeed, Green's identities are obtained and the Sommerfeld-Kupradze type radiation conditions are established. The surface (single-layer and double-layer) and volume potentials are constructed and their basic properties are given. The BVPs are reduced to the always solvable singular integral equations for which Fredholm's theorems are valid. Finally, the existence and uniqueness theorems for classical solutions of the basic BVPs of steady vibrations are proved by means of the potential method (boundary integral equation method) and the theory of singular integral equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 461, Issue 2, 15 May 2018, Pages 1585-1605
نویسندگان
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