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Variational Principles for Buckling of Microtubules Modeled as Nonlocal Orthotropic Shells
المؤلف
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-9، 9ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-08-05
دولة النشر
مصر
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
A variational principle for microtubules subject to a buckling load is derived by semi-inverse method.
The microtubule is modeled as an orthotropic shell with the constitutive equations based on nonlocal elastic theory and the effect of filament network taken into account as an elastic surrounding.
Microtubules can carry large compressive forces by virtue of the mechanical coupling between the microtubules and the surrounding elastic filament network.
The equations governing the buckling of the microtubule are given by a system of three partial differential equations.
The problem studied in the present work involves the derivation of the variational formulation for microtubule buckling.
The Rayleigh quotient for the buckling load as well as the natural and geometric boundary conditions of the problem is obtained from this variational formulation.
It is observed that the boundary conditions are coupled as a result of nonlocal formulation.
It is noted that the analytic solution of the buckling problem for microtubules is usually a difficult task.
The variational formulation of the problem provides the basis for a number of approximate and numerical methods of solutions and furthermore variational principles can provide physical insight into the problem.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Adali, Sarp. 2014. Variational Principles for Buckling of Microtubules Modeled as Nonlocal Orthotropic Shells. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-483342
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Adali, Sarp. Variational Principles for Buckling of Microtubules Modeled as Nonlocal Orthotropic Shells. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-483342
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Adali, Sarp. Variational Principles for Buckling of Microtubules Modeled as Nonlocal Orthotropic Shells. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-483342
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-483342
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