Experimental Measurements of the Mechanical Behavior of the Composite Materials and Hybrid Materials Subject to Tensile Test

Similar documents
Hybrid Fiber Reinforced Composite for Use in Military Helmet.

Malaysian Journal of Civil Engineering 28 Special Issue (1):10-17 (2016)

Postgraduate symposium on biocomposite technology 2015, 03 March 2015

Supporting of Concrete bridge Damage by using Composite Materials

Tension-Compression Fatigue Behavior of Plain Woven Kenaf/Kevlar Hybrid Composites

Quasi-static penetration behavior of plain woven kenaf/aramid reinforced polyvinyl butyral hybrid laminates

The application of SMA dampers in passive control of ancient tower structures

Gaskets. Flat Gaskets made of Aramide, EPDM, FKM, NBR, PTFE and Graphite. Reichelt Chemietechnik 14

Effects of Processing Method, Moisture Content, and Resin System on Physical and Mechanical Properties of Woven Kenaf Plant Fiber Composites

SHAMIR MINERAL MINERAL

NPTEL ONLINE CERTIFICATION COURSES. Course on Reinforced Concrete Road Bridges

The load carrier system designed for professionals

THE TOP FIVE ISSUES TO CONSIDER WHEN WRITING ACID-ETCHED GLASS OR MIRROR SPECIFICATIONS

Effect of kenaf fibers on trauma penetration depth and ballistic impact resistance for laminated composites

Ballistic Impact Resistance of Plain Woven Kenaf/Aramid Reinforced Polyvinyl Butyral Laminated Hybrid Composite

Six Sigma Prof. Dr. T. P. Bagchi Department of Management Indian Institute of Technology, Kharagpur. Lecture No. # 18 Acceptance Sampling

THERE IS SOMETHING NEW IN THE AIR

What Do You Know By Plastic Injection Molding?

Module - 02 Lecturer - 09 Inferential Statistics - Motivation

Surveying Prof. Bharat Lohani Department of Civil Engineering Indian Institute of Technology, Kanpur. Module - 7 Lecture - 3 Levelling and Contouring

Grade 7 Math Connects Suggested Course Outline for Schooling at Home 132 lessons

Wires, Wire Splicing and Termination

Grade 6 Math Connects Suggested Course Outline for Schooling at Home

NPTEL NPTEL ONINE CERTIFICATION COURSE. Introduction to Machine Learning. Lecture-59 Ensemble Methods- Bagging,Committee Machines and Stacking

National Fire Protection Association. 1 Batterymarch Park, Quincy, MA Phone: Fax:

HISTORIC AMERICAN ENGINEERING RECORD WYMAN BRIDGE HAER NO. AR-38. UTM: 15/ / Quad: Elkins, Arkansas. Washington County, Arkansas

Introduction to Statistical Hypothesis Testing Prof. Arun K Tangirala Department of Chemical Engineering Indian Institute of Technology, Madras

APPENDIX C ADDITIONAL CALCULATIONS

SUBMERSIBLE PUMPS & MOTORS

Bronkhorst. Bronkhorst High-Tech Frank Doornbos. Bronkhorst Cori-Tech Erwin Eekelder. Expertise in MASS FLOW and PRESSURE meters and controllers

apriori Customer Use Cases See How We Have Significantly Improved Product Cost Decisions

Structural Assessment and Rehabilitation Option for YudaganawaDagoba in Buttala

Toho Tenax Thermoplastics Welding and Forming Carbon Fiber PEEK/PEKK Materials. SmartManufacturingSeries.com

axxys origins Fitting Instructions

KELSALL CATAMARANS. The Leading Edge of Custom Boat Building

Georgia Quality Core Curriculum

Module 02 Lecture - 10 Inferential Statistics Single Sample Tests

This report is organized in four sections. The first section discusses the sample design. The next

Albeo LED Luminaire. GE Lighting. ABHG Series DATA SHEET. Optics. Product information. Installation. Structures and materials.

A Stroke of Genius: Striving for Greatness in All You Do

Everything you did not know about Coolsculpting

1/10. Descartes Laws of Nature

Drive Response Requirements for Web Handling. Clarence Klassen. P. Eng. (ON) KlassENgineering Inc.

fitting instructions axxys evolution

How To Create Compelling Characters: Heroes And Villains

6. Geberit Floor Drainage Systems

Chip Inductor (CIL Series)

API Ballot Summary Sheet 9/2/2003

Geberit Drainage System

A Path Forward for NDE Reliability

Content Area Variations of Academic Language

The Short Reign of Ryan Mackey

FOURTH GRADE. WE LIVE AS CHRISTIANS ~ Your child recognizes that the Holy Spirit gives us life and that the Holy Spirit gives us gifts.

DMT TECHNOLOGY for Surface Coating of Artificial Joint. Sales & Marketing Department Insstek, Korea

The Goldilocks Enigma Paul Davies

Consciousness Level and Correlation with Measurement of Chakra Energy

MISSOURI S FRAMEWORK FOR CURRICULAR DEVELOPMENT IN MATH TOPIC I: PROBLEM SOLVING

Integrated Human. Interview with María Peñil Cobo & Dr. Mehmet Berkmen (Memo)

Healing" cleanses, balances and recharges the body's energy and creates a deep relaxation. It is also a great preventative modality.

Particle Sizes and Clumps from Stellar Occultations

The following items summarize the procedure for concrete shell design, as implemented in the software:

DOWNLOAD OR READ : TAZ PDF EBOOK EPUB MOBI

SUMMARY COMPARISON of 6 th grade Math texts approved for 2007 local Texas adoption

Grade 6 correlated to Illinois Learning Standards for Mathematics

Some details of the contact phenomenon

Two Cutting Edges Rounded Toe XP Technology No More Sharpening! Less Instruments Required

Natural frequenciesof orthotropic, monoclinic and hexagonal plates by a meshless method

Truth and Evidence in Validity Theory

Asking the Right Questions: A Guide to Critical Thinking M. Neil Browne and Stuart Keeley

THE EFFECT OF PULPITS IN THE RASTI VALUES WITHIN CHURCHES

Explaining Science-Based Beliefs such as Darwin s Evolution and Big Bang Theory as a. form of Creationist Beliefs

Define worldview List characteristics of a biblical worldview Apply a biblical worldview to science. Chapter 1: What Scientists Do

A Deep Survey on Sole and Essence of Hand Mudra(s)

Steady and Transient State Analysis of Gate Leakage Current in Nanoscale CMOS Logic Gates

Macmillan/McGraw-Hill SCIENCE: A CLOSER LOOK 2011, Grade 1 Correlated with Common Core State Standards, Grade 1

Structures. Wood Shell Structures. Objectives 1 : Form and statics. Structures and connections. Analyses and construction.

CENTUM - components list

APRIL 2017 KNX DALI-Gateways DG/S x BU EPBP GPG Building Automation. Thorsten Reibel, Training & Qualification

Global Nondestructive Examination (NDE) Equipment Market Research Report 2016

Religious Beliefs of Higher Secondary School Teachers in Pathanamthitta District of Kerala State

A wide range of colours for GreenCoat products

CENTUM - components list

Analysis and simulation on unequal settlement of ancient masonry pagodas

HSC EXAMINATION REPORT. Studies of Religion

Cost Reduction Opportunities in Deepwater Riser Systems

20+ FAQs about the Ark Encounter

TARGET To explore that following God means we need to choose the right path. KEY PASSAGE Matthew 4:17 22

This test accounts for 20% of the Final mark

Mehmet INAN January 02, 2007

Megatrends Where On Earth Are We Going?

Religio. State of Catholicism. Introduction Report

CONSTRUCTION METHODS AND EARTHQUAKE ENCOUNTER RECORDS OF JAPANESE TRADITIONAL TIMBER THREE STOREY PAGODAS

Unit 2. Spelling Most Common Words Root Words. Student Page. Most Common Words

ALASKA STATE LEGISLATURE SENATE TRANSPORTATION STANDING COMMITTEE April 20, :37 p.m.

Pajari Instruments Ltd.

Carolina Bachenheimer-Schaefer, Thorsten Reibel, Jürgen Schilder & Ilija Zivadinovic Global Application and Solution Team

Hindu Paradigm of Evolution

A study on the changing population structure in Nagaland

DALI power line communication

COMPARISON ANALYSIS OF ENGINE PERFORMANCE USING VVT-i SYSTEM AND ENGINE WITHOUT VVT-i SYSTEM

Transcription:

Experimental Measurements of the Mechanical Behavior of the Composite Materials and Hybrid Materials Subject to Tensile Test Lect. Suhad Dawood Salman Al-Mustansariya University, College of Engineering Materials Engineering Department Abstract Given the importance of hybrid materials and their uses in many field of life in all the world such as since of medicine used in the manufacture of orthoses and in the automobile industry, aircraft and ships and in the areas of sport in tennis rackets and bicycle tires and other... so in this paper we have been making and testing five group of samples of the hybrid materials that have specific volume fraction of glass fibers and Kevlar fibers in malty layers and then a tensile mechanical testing them by means of a special machine of composite materials at the Institute Specialist For Engineering Industries according to the standard. It should be noted that each of number of layers and type of reinforced materials under investigation resulted a typical effect on FRP composite properties being produced. It showed that each of these parameters influences the properties of the resulted composites in different ways. The research was to investigate the influence of processing parameters on the mechanical properties (tensile) of the composites and determine an optimum processing route. A considerable positive hybrid effect was noticed for tensile strength and tensile modulus, particularly for the samples consisting of more than one layer and reinforced with two kinds of fibers. Key words: hybrid materials, volume fraction, Glass fibers, Kevlar fibers, tensile test. الخالصة نظرا ألھمية المواد الھجينة واستعماالتھا الكثيرة في كل مجاالت الحياة ففي عالم الطب تستخدم في صنع جھاز لتقويم العظام و في قطاع صناعة السيارات والطائرات والسفن وفي مجاالت الرياضة في مضارب التنس وإطارات الدراجات الھوائية وغيرھا... فقد تم صنع واختبار خمسة مجاميع من عينات المواد الھجينة وبثالث عينات لكل مجموعة وبكسر حجمي معين من ألياف الزجاج وألياف الكفلر بعدة طبقات وإجراء فحوصات الشد الميكانيكية عليھا بواسطة جھاز خاص بفحص الشد للمواد المركبة في المعھد المتخصص للصناعات الھندسية وفق مواصفة قياسية. تم استنتاج أن لكل من عدد الطبقات ونوع األلياف المقواة للمادة المركبة تأثير كبير على خصائص المركبات FRP التي يتم إنتاجھا. وبينت أن لكل من ھذه العوامل تأثير على خصائص المواد المركبة بطرق مختلفة. وتم في ھذا البحث دراسة تأثير ھذه العوامل على الخواص الميكانيكية (الشد) على المركبات وتحديد قيم أجھاد الشد. وقد لوحظ زيادة كبيرة لقوة الشد ومعامل الشد للماد الھجينة ال سيما بالنسبة للعينات التي تتكون من أكثر من طبقة واحدة وتعزيزھا بنوعين من األلياف. 162

الكلمات المرشدة: المواد الھجينة الكسر ألحجمي ألياف الزجاج ألياف الكفلر اختبار الشد. Introduction and literature review Most lightweight structures and substructures include compression members, or under a combination of flexural and compressive load. The usual design process for lightweight structures attempts to introduce loads as pure compression and pure tension. The flexural loading of framework or sandwich constructions, for example, is transformed into essentially pure compression and tension loading of struts or facings. Composite materials are especially adaptable for such designs owing to their high orthotropic. [1] The essence of the concept of composites is this: the bulk phase accepts the load over a large surface area, and transfers it to the reinforcement, which being stiffer reinforcements are not necessarily in the form of long fibers. They can be particles, whiskers, discontinuous fibers, sheets etc. A great majority of materials is stronger and stiffer in the fibrous form than in any other form. This explains the emphasis on using fibers in composite materials design [2]. The most common and inexpensive fiber used is glass fiber, usually for the reinforcement of polymer matrices. The E-glass is the most common reinforcement material used in. The glass fiber strength and modulus can degrade with increasing temperature. Although the glass material creeps under a sustained load, it can be designed to perform satisfactorily although the fiber itself is regarded as an isotropic material and has a lower thermal expansion coefficient than that of steel. [3]. Characteristics, although the one major disadvantage in glass is that it is prone to break when subjected to high tensile stress for a long time. However, it remains breakresistant at higher stress-levels in shorter time frames. This property mitigates the effective strength of glass especially when glass is expected to sustain loads for many months or years continuously. [4] So it may have been added to the glass fibers, Kevlar fibers in malty layers according to the volume fraction to strengthen and improve the mechanical properties of composite materials, so-called hybrid materials. Kevlar is the DuPont Company's brand name for a synthetic material constructed of para-aramid fibers that the company claims is five times stronger than the same weight of steel, while being lightweight, flexible and comfortable. Also very heat resistant and decomposes above without melting. Kevlar is a registered trademark of E.I. du Pont de Nemours and Company. [5][6] Aramid fibers (Kevlar) have high tensile strength, high modulus and low weight. Impact-resistant structures can be produced from Aramid. The density of Aramid fibers is less than that of glass and graphite fibers. They are fire resistant apart from being hightemperature resistant and unaffected by organic solvents fuels. The fibers break into small fibers, which are like fibers within the fibers. This unique failure mechanism is responsible for high strength. They were initially used to reinforce automobile tires. Since then, they have 163

also found other uses like bullet proof vests. As high strength applications, their use in power boats is not uncommon. [7] Hybrid composites are more advanced composites as compared to conventional FRP composites. Hybrids can have more than one reinforcing phase and a single matrix phase or single reinforcing phase with multiple matrix phases or multiple reinforcing and multiple matrix phases. They have better flexibility as compared to other fiber reinforced composites. By combining two or more types of fibers, it is possible to club the advantages of both the fibers while simultaneously mitigating their less desirable qualities. Normally, one of the fibers in a hybrid composite is a high-modulus and high- cost fiber such as carbon, boron and the other is usually a low-modulus fiber such as E- glass, Kevlar. The high-modulus fiber provides the stiffness and load bearing qualities, whereas the low-modulus fiber makes the composite more damage tolerant and keeps the material cost low. The mechanical properties of a hybrid composite can be varied by changing volume ratio and stacking sequence of different plies. [8][9] Laminar Composites Laminar composites are found in as many combinations as the number of materials.they can be described as materials comprising of layers of materials bonded together. These may be of several layers of two or more occurring alternately or fiber glass in a determined order more than once, and in as many numbers as required for a specific purpose. For instance, a strong sheet may use over 92% in laminar structure, while it is difficult to make fibers of such compositions. Fiber laminates cannot over 75% strong fibers glass. [10] Tensile Properties Tensile properties indicate how the material will react to forces being applied in tension. A tensile test is a fundamental mechanical test where a carefully prepared specimen is loaded in a very controlled manner while measuring the applied load and the elongation of the specimen over some distance. Tensile tests are used to determine the modulus of elasticity, elastic limit, elongation, proportional limit, and reduction in area, tensile strength, yield point, yield strength and other tensile properties. The main product of a tensile test is a load versus elongation curve which is then converted into a stress versus strain curve. Since both the engineering stress and the engineering strain are obtained by dividing the load and elongation by constant values (specimen geometry information). [11] Experimental Work Contemporary composites results from research and innovation from past Few decades have progressed from glass fiber for automobile bodies to particulate composites for aerospace and a range other applications. 164

Ironically, despite the growing familiarity with composite materials and ever- increasing range of applications, the term defines a clear definition. Loose terms like "materials composed of two or more distinctly identifiable constituents" are used to describe natural composites like timber, organic materials, like tissue surrounding the skeletal system, aggregates, minerals and rock. [11] Fabrication of Composite The glass fibers and Kevlar fiber were cut to standard size rectangular sheets (100mm width 20mm) the plies were then weighed and amount epoxy resin and hardener. (25% of epoxy taken). A plastic die with dimensions (100mm width 20mm) is used, on to which mold release spray was sprayed, then a layer of epoxy was coated on the sheet, now alternately, layers of Kevlar fiber fabric and glass fiber fabric were laid upon other, with a layer of resin in between such fabric. The stacking sequence was maintained. At last a layer of resin mix was applied to it and this was put on to the last layer of composite. A flat board was then put on these sheets and dead loads were applied on to this prepared composite above this board, and the whole was then allowed to cure for around 24 hours. In this test five dies used to produce five molds with different fiber layers arrangement. Thus three groups of specimens molded in each group, there are fifteen specimens tested. Specimens of Tensile Testing The composite materials is formed using the procedure out lined above and is produced in a hard and dry state forming a rectangular plate with dimensions and different thickness.specimens for tensile testing are cut first in equal rectangular forms with 100mm length +/- 0.5mm using iron scissors (cutter) then the specimens are operated and 20mm width in diameter 20 mm and milling machine in the factory of specialized institute for engineering industries to make the particular flanks of the specimens according to the required ASTM D 638 standard (15) as shown in Fig.(1). Fig.(1) Show the dimension of specimens. To calculate the volume fraction of the specimens we must weight the glass fibers and Kevlar fibers before Molding with epoxy resin and total weight as shown in table (1). 165

Where: 3 sp in table (1), refers to the number of specimens at every group, and the letter s refers to the Specimen and the letter p refers to the property. Table (1) Shows the weight of the glass fibers, Kevlar fibers and Epoxy weight. Glass fiber weight (g) Kevlar fiber weight (g) Epoxy weight (g) Total weight (g) E 3 sp 1 layers (Kevlar) - 2.877 4.5275 7.4045 B 3 sp 2 layers (Kevlar 5.133 2.869 5.4788 13.4808 + glass) C 3 sp 3 layers (Kevlar 5.544 5.1852 6.6629 17.3921 + glass+ Kevlar) D 3 sp 3 layers ( glass 10.7618 2.831 6.568 20.1608 +Kevlar+ glass) A 1 sp glass layers 5. 2618-4.368 9.6298 We can determine the volume fraction of fibers by using the following equation: Where: : the volume fraction : the weight in grams : density For example to calculate the volume fraction of Kevlar fiber in a specimen from group E: V = (5.706 2500) [(5.706 2800)+(2.877 1600)+(7.5275 1300)] V = 0.237 To calculate the volume fraction of Glass fibers, Kevlar fibers and Epoxy weight in all specimen from group A to group E, as shown in table (2). 166

Table (2) Shows the volume fraction of the glass fibers, Kevlar fibers and Epoxy weight in all specimens from group A to group E. Glass volume fraction Kevlar volume fraction Epoxy volume fraction E 3 sp 1 layers(kevlar) - 0.24 0.56 B 3 sp 2 layers (Kevlar + glass) 0.3 0.15 0.55 C 3 sp 3 layers (Kevlar + glass+ 0.25 0.05 0.70 Kevlar) D 3 sp 3 layers ( glass +Kevlar+ 0. 5 0.12 0.63 glass) A 3 sp 1 layers glass 0.3-0. 6 For example: Fig.(2) Show the Specimen of group E. It s a double action machine used for tensile and compression tests, This machine is used for testing plastic and ceramic bodies with a maximum load of (10000 tons), and often at speed of (25 mm/min). Fig.(3) Show the machine of tensile tests. 167

And the all specimens are as shown in Fig. below: Fig. (4) Show all groups of specimens. The Results The tensile test results outline in this paragraph are for hybrid composite material of reinforced epoxy resin with different volume fraction for each group of specimens. And the tensile test specimens with dimension of standard ASTM and All tests are performed at laboratory temperature. The figures obtained from the tensile test machine are in the shape of a relationship between stress (N/mm) and the extension (%).The results of group specimens are shown in table with figures to The group with kevlar, glass layers shows the highest results of forces and stresses with different values of modulus of the volume fraction to the composite materials. The results of tensile test specimens are shown in table (3) refer to the all groups with kevlar and glass layers, frome one layer to three layer. This group of specimens were reinforsed by one type of fibers (composite mateirals ) and with two type of fibers (hibrid mateirals). As shown in table (3). Discussion and Conclusions The results of test specimens are shown with figures this group of specimens has closer values of stresses in its results. The tensile test results also showed to the rate of average max. tensile stress of three samples of a single layer of( E) Kevlar is 136.33 Mpa, higher than the average max. tensile stress of test results of the three samples of a single layer of glass ( A) is 83.23 Mpa. This is expected to happen in addition to light weight samples of ( E) allowing use in areas that need high tensile strength in addition to light weight. 168

Specimens E B C D A Table (3) show all the tensile test results. property Yield % F (N) Max. force σ (Mpa) Max. stress No.1 3.032 4700 160.2 No.2 2.720 2950 101.7 No.3 3.660 4400 147.1 No.1 3.312 5300 192.3 No.2 3.272 4700 184.0 No.3 4.520 4500 175.1 No.1 3.300 1950 181.1 No.2 3.416 1400 145.3 No.3 2.800 1650 172.7 No.1 3.696 2800 127.6 No.2 2.908 2790 146.8 No.3 3.644 4100 212.3 No.1 2.560 1690 96.2 No.2 4.100 1120 80.7 No.3 2.032 1100 72.8 As for the group B consisting of 3 samples each have 2 layers ( glass + Kevlar ) have the rate of average max. tensile stress is183.8 Mpa. Improve and increase the tensile stress of the glass after the addition of a single layer of Kevlar fiber to glass fiber to become improve the tensile properties of the composite material consisting of a single layer of glass fibers or Kevlar fibers each end and this characteristics and features of hybrid materials. In addition, for the group B hybrid systems under investigation, the most significant change in tensile properties was noticed following substitution of the first layer at the surface. It was also noted that tensile properties increased with the increase in number of layers, this change appeared more obvious in comparison with that the other two hybrid systems with this change being accompanied by a significant increase in tensile strength. Although the use of three layers of reinforcing fibers in each group (C, D), but group C (Kevlar + glass+ Kevlar) have the average max. tensile stress is 166.367 Mpa greater than the average max. tensile stress of group D (glass +Kevlar +glass ) that is 162.23 Mpa. And because of a group C that has been put Kevlar fiber as two layers at the surface, While in the group D put glass fiber out of the sample and was put Kevlar fiber as an intermediate layer between them. Thus as turned out to be also expected that the tensile strength of the material specifications of composite reinforced by Kevlar mat better than the composite material reinforced by glass mat only for the purpose of comparison with the tensile properties when mixed mats of articles to be a hybrid material. Observed when using two layers of Kevlar mats and one layer of glass mats in group C did not improve the tensile properties of the hybrid material largely with compared with using two layers of glass mats and one layer of Kevlar mats in group D.Fracture strength of 169

the reinforced material with Kevlar must much higher than in the hybrid material. It is meaning for the same application can be replaced sites layered with article hybrid which reduces the cost and improves the tensile properties of the hybrid material. The main general conclusions that could be drawn from this investigation were that, although the tensile strength appeared to obey the rule of number of layers and type of hybrid fiber-reinforced polymer matrix composites. An increase in tensile strength together with the presence of a hybrid effect would most probably be observed when the fiber substituted at the surface side possessed a significantly lower tensile strength combined with significantly higher tensile strength as demonstrated by the hybrid Kevlar - E-glass FRP composite. Reference 1. Gururaja MN, AN Hari Rao, 66 A Review on Recent Applications and Future Prospectus of Hybrid Composites" International Journal of Soft Computing and Engineering (IJSCE) ISSN: 2231-2307, Volume-1, Issue-6, January 2012. 2. Ever j. Barbero, "Introduction to composite materials design ", 2 nd ed, CRC Press by Taylor & Francis, LLC 2011. 3. D.Thomas Campbell, David R Cramer, "Hybrid Thermoplastic Composite Ballistic Helmet Fabrication Study" Advancement of Materials & Process Engineering, 2008. 4. Velmurugan, R., Manikandan, V, "Mechanical properties of palmyra/glass fiberhybrid composites", Composites Part A: Applied Science and Manufacturing, Vol.38, (10), 2216-2226 (2007). 5. Van Erp, G. Future Materials - The Use of fiber Composites in Civil Engineering. Proc. Of Main Roads Technology Forum, Brisbane (2006). 6. Ashby M.F., Brechet Y.J.M., "Designing hybrid materials", Acta Materialia, 51 (19), pp. 5801-5821 (2003). 7. Keller, T. Use of Fiber Reinforced Polymers in Bridge Construction. International Association for Bridge and Structural Engineering. Zurich, (2003). 8. Fischer S., Marom G., "The flexural behaviour of aramid fibre hybrid composite materials", Composites Science and Technology, 28 (4), pp. 291-314 (1987). 9. Hiroshi Mutsuyoshil, Thiru Aravinthan, "Development of New Hybrid Composite Girders Consisting of Carbon and Glass Fibers", Saitama University, & Toray Industries, Inc., Japan (2010). 10. Pramod Srivastava, Pravin Ahire, Milind S Chavan, Girish Sharma, P. Narsingh, New hybrid Composite Cable for Power transmission, Critical Signaling, & Telecom application Sterlite Optical Technologies Ltd. Silvassa. UT of Dadara & Nagar Haveli, INDIA (2011). 11. Ronald F. Gibson, "principles of composite material mechanics", 3 rd ed, CRC Press by Taylor & Francis, LLC 2012. 170