Cookies must be enabled to use this website.
Book Image Not Available Book Image Not Available
Book details
  • Genre:TECHNOLOGY & ENGINEERING
  • SubGenre:Mechanical
  • Language:English
  • Pages:200
  • Paperback ISBN:9781483592626

Understanding the Elastic Stress Field Around an Elliptical Hole in a Thin Plate

by Rajen Merchant

Book Image Not Available Book Image Not Available
Overview
This book develops expressions for components of the stress field around an elliptical hole in a thin plate. This development exploits the benefits of the elliptical co-ordinate system in the current configuration setting. Detailed analysis proves that the stress at the tips cannot remain constant as the external load increases. This work will be very useful in further development of much sought for exact solutions.
Description

The stress field around an elliptical hole in a thin plate has been explored for more than a century. A circular hole is a special case of an elliptical hole where major and minor axes are of equal length. Hence, use of an elliptical co-ordinate system is quite logical. However, working with elliptical co-ordinates is not an easy task. Consequently, numerous approximations have been made to arrive at inexact solutions. Unfortunately, even at low loads where deformations are small, such inexact solutions can lead to erroneous results. The author has developed a detailed understanding of deformation in an elliptical co-ordinate system. In this book, while utilizing the features of an elliptical co-ordinate system, he shows the impact of the presence of an elliptical hole in a thin plate. In the first stage of the analysis presented in this book, he uses only stress equilibrium conditions. Hence, the results are applicable to all materials. He derives expressions for stress components at points around an elliptical hole in terms of a parameter αe which depends on strain-displacement relations, stress-strain relations as well as initial geometry, and the load applied. He examines the impact of strain-displacement relations and stress-strain relations in his later work, yet to be published.

About the author
Rajen Merchant studied at Bombay University for one year and then graduated as Bachelor of Technology (a five year course) at the Indian Institute of Technology, Bombay, India. After completing his Master of Science at Carnegie-Mellon University, Pittsburgh, USA, he migrated to Canada. He obtained his Master of Business Administration degree from Queen's University, Kingston, Canada. He has a keen interest in mathematics and its applications. This monograph is the result of his pursuit for mathematical accuracy. He intends to complete the second book soon. This second book will examine non-linearity in strain-displacement relations.
Thanks for submitting a review!

Your review will need to be approved by the author before being posted.

See Inside
Front Cover

Loading book cover...

Book Image Not Available Book Image Not Available
Session Expiration WarningYour session is due to expire.

Your online session is due to expire shortly.
Would you like to extend your session and remain logged in?

Session Expired

Your session has expired.We're sorry, but your online session has expired.
Please log back into your account to continue.