Effective spring constant calculation of an infinite network of springs application Green's function
Other Title(s)
حساب فعالية ثابت الزنبرك في شبكة لا نهائية من الزنبركات بتطبيق دالة غرين
Dissertant
al-Zubi, Usamah Qasim Muhammad
Thesis advisor
Comitee Members
al-Jarabah, Ala Abd Rabbih
Jaradat, Imad Khalid Yusuf
al-Nawafilah, Khalid Isa
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2016
English Abstract
The spring constant of an infinite network of identical springs is calculated in two-dimensional , using the Lattice Green’s function (LGF).
This work deals with two cases: the perfect lattice and the perturbed lattice (i.e.
a bond between two lattice points is removed and removing two bonds from the perfect lattice ) It is shown how to derive the basic formula which relates the spring constant to the LGF.
In calculating the spring constant we make use of the values of the LGF at arbitrary sites and we use some recurrence formulae.
The asymptotic behavior of the spring constant in a square for both the perfect and perturbed cases is studied.
The study resulted in finding that for a perfect lattice (i.e.
square lattice) the spring constant is symmetric along the low-index directions, whereas for the perturbed case the symmetry is broken.
We demonstrate that spring constant in a square lattice diverges as the separation between the sites increases value.
Main Subjects
No. of Pages
36
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : General introduction.
Chapter Two : Formalism.
Chapter Three : Square lattice.
Chapter Four : Results and discussion.
References.
American Psychological Association (APA)
al-Zubi, Usamah Qasim Muhammad. (2016). Effective spring constant calculation of an infinite network of springs application Green's function. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731640
Modern Language Association (MLA)
al-Zubi, Usamah Qasim Muhammad. Effective spring constant calculation of an infinite network of springs application Green's function. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-731640
American Medical Association (AMA)
al-Zubi, Usamah Qasim Muhammad. (2016). Effective spring constant calculation of an infinite network of springs application Green's function. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731640
Language
English
Data Type
Arab Theses
Record ID
BIM-731640
