A Variational Principle Based Approach for General Solution to Transverse Isotropic Axisymmetric Cylinder Problem-Reference-Cited by-同舟云学术

A Variational Principle Based Approach for General Solution to Transverse Isotropic Axisymmetric Cylinder Problem

Published:2022-09-01 Issue:10 Volume:89 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Sirsat Ajinkya Vishnu¹,Padhee Srikant Sekhar²

Affiliation:

1. Indian Institute of Technology, Ropar MUSE Lab, Department of Mechanical Engineering, , Rupnagar, Punjab 140001 , India

2. Indian Institute of Technology, Ropar MUSE Lab, Department of Mechanical Engineering, , Rupnagar, Punjab 140001, India

Abstract

AbstractDeformation of solid or hollow cylinders with transverse isotropic material under axisymmetric loading is one of the oldest problems. A general field solution is highly sought after, as this problem finds application in various fields. In the present work, this problem has been formulated starting with basic curvilinear kinematics and governing equations are derived using Reissner’s variational principle. Non-singular solutions have been derived and have been validated with literature for specific cases.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

https://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/89/10/104501/6913693/jam_89_10_104501.pdf

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5. On the Elastic Equilibrium of Circular Cylinders Under Certain Practical Systems of Load;Filon;Philos. Trans. R. Soc. London,1902

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