کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
277844 1430247 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite inflation of a hyperelastic toroidal membrane over a cylindrical rim
ترجمه فارسی عنوان
تورم نهایی یک غشاء تروییدی پرپرستان بر روی یک لبه استوانه ای
کلمات کلیدی
غشای تورونی، تغییر شکل بزرگ، مکانیک تماس تماس استوانه ای، روش تیراندازی، چروکیده شدن
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی


• We study finite inflation of a hyperelastic toroidal membrane over cylindrical rim.
• Both compliant and rigid frictionless rims are considered.
• Impending (absence of) wrinkling condition is observed for compliant (rigid) rim case.
• Circumferential stretch is lower bounded near the contact junction of a rigid rim.
• Normal stress on the rim tends to become uniform with increase in rim stiffness.

The present paper is devoted to the study of finite inflation of a hyperelastic toroidal membrane on a cylindrical rim under uniform internal pressure. Both compliant and rigid frictionless rims have been considered. The compliant cylindrical rim is modeled as a linear distributed stiffness. The initial cross-section of the torus is assumed to be circular, and the membrane material is assumed to be a homogeneous and isotropic Mooney–Rivlin solid. The problem is formulated as a two point boundary value problem and solved using a shooting method by employing the Nelder–Meads search technique. The optimization function is constructed on a two (three) dimensional search space for the compliant cylinder (rigid cylinder). The effect of the inflation pressure, material properties and elastic properties of the rim on the state of stretch and stress, and on the geometry of the inflated torus have been studied, and some interesting results have been obtained. The stability of the inflated configurations in terms of occurrence of the impending wrinkling state in the membrane has also been studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volume 51, Issue 2, 15 January 2014, Pages 430–439
نویسندگان
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