کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
277747 1430242 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stress gradient versus strain gradient constitutive models within elasticity
ترجمه فارسی عنوان
گرادیان استرس در مقابل مدل های سازنده ی گرادیان بار در درون کشش
کلمات کلیدی
کشش استرس، اصل قدرت مجازی، شرایط مرزی، مدل های پرتو
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی

A stress gradient elasticity theory is developed which is based on the Eringen method to address nonlocal elasticity by means of differential equations. By suitable thermodynamics arguments (involving the free enthalpy instead of the free internal energy), the restrictions on the related constitutive equations are determined, which include the well-known Eringen stress gradient constitutive equations, as well as the associated (so far uncertain) boundary conditions. The proposed theory exhibits complementary characters with respect to the analogous strain gradient elasticity theory. The associated boundary-value problem is shown to admit a unique solution characterized by a Hellinger–Reissner type variational principle. The main differences between the Eringen stress gradient model and the concomitant Aifantis strain gradient model are pointed out. A rigorous formulation of the stress gradient Euler–Bernoulli beam is provided; the response of this beam model is discussed as for its sensitivity to the stress gradient effects and compared with the analogous strain gradient beam model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volume 51, Issue 9, 1 May 2014, Pages 1809–1818
نویسندگان
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