کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705105 1012424 2012 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A solution method for the sub-surface stresses and local deflection of a semi-infinite inhomogeneous elastic medium
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A solution method for the sub-surface stresses and local deflection of a semi-infinite inhomogeneous elastic medium
چکیده انگلیسی

This paper proposes analytical Fourier series solutions (based on the Airy stress function) for the local deflection and subsurface stress field of a two-dimensional graded elastic solid loaded by a pre-determined pressure distribution. We present a selection of numerical results for a simple sinusoidal pressure which indicates how the inhomogeneity of the solid affects its behaviour. The model is then adapted and used to derive an iterative algorithm which may be used to solve for the contact half width and pressure induced from contact with a rigid punch. Finally, the contact of a rigid cylindrical stamp is studied and our results compared to those predicted by Hertzian theory. It is found that solids with a slowly varying elastic modulus produce results in good agreement with those of Hertz whilst more quickly varying elastic moduli which correspond to solids that become stiffer below the surface give rise to larger maximum pressures and stresses whilst the contact pressure is found to act over a smaller area.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 36, Issue 8, August 2012, Pages 3486–3501
نویسندگان
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