Application of the lattice green's function for calculating the spring constant of infinite networks of springs : perfect and perturbed triangular lattices
Other Title(s)
تطبيق دالة غرين الشبكية لحساب ثابت نابض في شبيكة لانهائية من النوابض : في حالة الشبيكات المثلثية المثالية و المشوبة
Dissertant
al-Hiyasah, Salih Irshid Salih
Thesis advisor
Comitee Members
al-Uqayli, Amir Dakhil
al-Sabayilah, Muayyad Abd al-Rahim
Jadan, Muhannad Abd al-Hafiz
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
The spring constant of an infinite triangular network of identical springs is investigated within the framework of the lattice Green's Function and perturbed lattice.
Two perturbations are considered: the broken bond (missing bond) spring constant, and the two broken bonds (Two missing bonds) spring constant.
A connection is made between the spring constant and the lattice Green's Function of the perturbed network.
The spring constant of the perturbed lattice are expressed in terms of perfect lattice by solving Dyson's equation.
The spring constant between two adjacent nodes is calculated by corresponding equations and some recurrence formulae.
For an infinite triangular lattice, we used an expression for the spring constant in terms of lattice Green's Function at the origin, known as rational number, and some recurrence formulae.
Throughout this work, we found that the effective spring constant of the perturbed lattice in the case, one broken bond spring constant and two broken bonds spring constant, are greater than that of the perfect lattice.
Main Subjects
No. of Pages
36
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Derivation of lattice green's function and the spring constant of the perfect lattice and the spring constant of the perturbed lattice.
Chapter Three : Calculations.
Chapter Four : Discussion and Conclusion.
References.
American Psychological Association (APA)
al-Hiyasah, Salih Irshid Salih. (2015). Application of the lattice green's function for calculating the spring constant of infinite networks of springs : perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-729597
Modern Language Association (MLA)
al-Hiyasah, Salih Irshid Salih. Application of the lattice green's function for calculating the spring constant of infinite networks of springs : perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-729597
American Medical Association (AMA)
al-Hiyasah, Salih Irshid Salih. (2015). Application of the lattice green's function for calculating the spring constant of infinite networks of springs : perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-729597
Language
English
Data Type
Arab Theses
Record ID
BIM-729597
