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HOMOGENIZATION PROCEDURES FOR THE CONSTITUTIVE MATERIAL
MODELING AND ANALYSIS OF APERIODIC MICRO-STRUCTURES
by
Preetham Aghalaya Manjunatha
A Thesis Presented to the
FACULTY OF THE USC VITERBI SCHOOL OF ENGINEERING
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Ful llment of the
Requirements for the Degree
MASTER OF SCIENCE
(CIVIL ENGINEERING)
December 2012
Copyright 2012 Preetham Aghalaya Manjunatha
Object Description
| Title | Homogenization procedures for the constitutive material modeling and analysis of aperiodic micro-structures |
| Author | Aghalaya Manjunatha, Preetham |
| Author email | preethamam@gmail.com;aghalaya@usc.edu |
| Degree | Master of Science |
| Document type | Thesis |
| Degree program | Civil Engineering (Structural Engineering) |
| School | Viterbi School of Engineering |
| Date defended/completed | 2012-06-28 |
| Date submitted | 2012-10-18 |
| Date approved | 2012-10-19 |
| Restricted until | 2012-10-19 |
| Date published | 2012-10-19 |
| Advisor (committee chair) | Wellford, L. Carter |
| Advisor (committee member) |
Masri, Sami Lee, Vincent |
| Abstract | Composite materials are the well-known substitutes for traditional metals in various industries because of their micro-structural character. Micro-structures provide a high strength-to-weight ratio, which makes them suitable for manufacturing large variety of applications ranging from simple toys to complicated space/aircraft structures. Since, these materials are widely used in high performance structures, their stress/thermal analysis issues are of major concern. Due to the high degree of material heterogeneity, it is extremely difficult to analyze such structures. ❧ Homogenization (rigorous averaging) is a process that overcomes the difficulty of modeling each micro-structure. It replaces an individual micro-structure by an equivalent material model representation (unit cell). Periodic micro-structures appear in regular intervals throughout the domain, in contrast aperiodic micro-structures follows an irregular pattern. Further, this method bridges the analysis gap between micro and macro domain of the structures. In this thesis, Homogenization procedure based on anti-periodic displacement fields for aperiodic micro-structures and aperiodic boundary conditions are considered to model the constitutive material matrix. This work could be easily implemented with the traditional finite element packages. In addition, it eventually increases the convergence accuracy and reduces the high computational expenses. Different problems are analyzed by the implementation of digital image processing schemes for the extraction of a unit cell around the Gauss quadrature points and the mesh-generation. In the future, this research defines a new path for the analysis of any random heterogeneous materials by its ease of implementation and the state-of-the-art micro-structure material modeling capabilities and digital image based micro-meshing. |
| Keyword | homogenization; aperiodic structures; finite element method; image based meshing; multi scale; composites |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m |
| Rights | Aghalaya Manjunatha, Preetham |
| Access conditions | The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the author, as the original true and official version of the work, but does not grant the reader permission to use the work if the desired use is covered by copyright. It is the author, as rights holder, who must provide use permission if such use is covered by copyright. The original signature page accompanying the original submission of the work to the USC Libraries is retained by the USC Libraries and a copy of it may be obtained by authorized requesters contacting the repository e-mail address given. |
| Repository name | University of Southern California Digital Library |
| Repository address | USC Digital Library, University of Southern California, University Park Campus MC 7002, 106 University Village, Los Angeles, California 90089-7002, USA |
| Repository email | cisadmin@usc.edu |
| Archival file | uscthesesreloadpub_Volume4/etd-AghalayaMa-1256.pdf |
Description
| Title | Page 1 |
| Full text | HOMOGENIZATION PROCEDURES FOR THE CONSTITUTIVE MATERIAL MODELING AND ANALYSIS OF APERIODIC MICRO-STRUCTURES by Preetham Aghalaya Manjunatha A Thesis Presented to the FACULTY OF THE USC VITERBI SCHOOL OF ENGINEERING UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Ful llment of the Requirements for the Degree MASTER OF SCIENCE (CIVIL ENGINEERING) December 2012 Copyright 2012 Preetham Aghalaya Manjunatha |
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