کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7216257 | 1469941 | 2018 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stress singularity of a notch in a higher-order elastic solid under anti-plane deformation
ترجمه فارسی عنوان
تکینگی استرس از یک نقطه در یک جامد الاستیسیته بالاتر در زیر تغییر شکل ضد هواپیما
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کلمات کلیدی
نکته تغییر شکل ضد هواپیما، انعطاف پذیری بالاتر، متغیر ضریب معادلات دیفرانسیل دو طرفه،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
چکیده انگلیسی
The problem of the stress singularity of a notch in a nonlinear solid under finite anti-plane deformation is investigated using higher-order elasticity. The equilibrium equations are written in terms of the first Piola-Kirchhoff stresses, which are replaced by displacements up to the third-order. The resulting variable-coefficient partial differential equations are solved numerically, subject to vanishing out-of-plane shear tractions on the notch faces. The key results are: (i) the stress exponent characterizing the variation of stress with distance from the notch tip may be positive or negative, implying that the stresses can be non-singular or singular, (ii) the stress exponent becomes more positive with a decrease in the notch angle, (iii) a single dimensionless reduced elastic parameter determines the stress exponent, and (iv) the stress exponent varies with the elastic constants, unlike the case in linear elasticity. Specifically, for a given notch angle the stress exponent becomes more negative with decrease in the first Lamé constant λ and the third-order elastic constant n, and with the increase in the magnitude of the negative third-order constant m, while it varies non-monotonically with the second Lamé constant (shear modulus) µ.These results have significant implications for notch-like defects in soft solids, e.g., replacement tissues, industrial robots and devices in biomedical applications.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Engineering Science - Volume 129, August 2018, Pages 156-168
Journal: International Journal of Engineering Science - Volume 129, August 2018, Pages 156-168
نویسندگان
Wu M.S.,