کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5014360 | 1463186 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
ترجمه فارسی عنوان
سلسله مراتبی از مدل های سازنده ساده در کشش کششی ایزوتروپیک
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کلمات کلیدی
کشش شیب دهی، مواد ایزوتروپیک، تنش دوگانه، زن و شوهر استرس،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
Simplified isotropic models of strain gradient elasticity are presented, based on the mutual relationship between the inherent (dual) gradient directions (i.e. the gradient direction of any strain gradient source and the lever arm direction of the promoted double stress). A class of gradient-symmetric materials featured by gradient directions obeying a reciprocity relation and by 4 independent h.o. (higher order) coefficients is envisioned, along with the sub-classes of hemi-collinear materials (3 h.o. coefficients, gradient directions in part coincident), collinear materials (2 h.o. coefficients, equal gradient directions) and micro-affine materials (1 h.o. coefficient, behavioral affinity at micro- and macro-scale, coincident with the Aifantis model). All models comply with the energy positive definiteness conditions. The boundary-value problem for the wide class of gradient-symmetric materials is governed by a set of Poisson-Helmholtz type differential equations almost unaffected by the number of independent h.o. coefficients; instead the boundary conditions carry in, in general, problem-dependent computational difficulties increasing with the number of these coefficients. As an application, gradient-symmetric beam models are discussed. A parallel hierarchy of simplified isotropic models with couple stresses is also presented, in which the novel concept of rotational volumetric strain gradient is exploited. A graphical overview on isotropic strain gradient elasticity models is reported. An Appendix is devoted to the concepts of extensional and rotational volumetric strain gradients and to the related pressure-like stresses.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 61, JanuaryâFebruary 2017, Pages 92-109
Journal: European Journal of Mechanics - A/Solids - Volume 61, JanuaryâFebruary 2017, Pages 92-109
نویسندگان
Castrenze Polizzotto,