Consider a graphite-reinforced polymer composite lamina. Use the simple rule-of-mixtures formulas tocalculate the values of the four elastic constants E1, V12, E2, and G12 for the lamina. Use V₁= 0.6.Assume the following material properties for the matrix and fibers.Em4.62 GPa,E= 233 GPa,E = 23.1 GPa,G₁₂ = 8.96 GPam = 0.3602 = 0.2003 = 0.400G3 = 8.27 GPa

Given: Vf = 0.6 To find: E1, v12, E2, G12

Consider a graphite-reinforced polymer composite lamina. Use the simple rule-of-mixtures formulas to calculate the values of the four elastic constants E1, V12, E2, and G₁2 for the lamina. Use V₁= 0.6. Assume the following material properties for the matrix and fibers.

Consider a graphite-reinforced polymer composite lamina. Use the simple rule-of-mixtures formulas to calculate the values of the four elastic constants E1, V12, E2, and G₁2 for the lamina. Use V₁= 0.6. Assume the following material properties for the matrix and fibers.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Bakelite is an example of polymer. Select one: O Thermoset O Thermoplastic O Composite O Elastomers

A: The rigid type of plastic which is highly resistant to high temperature form the Bakelite.

Q: Using the aid of a diagram, describe the behaviour stress vs strain of a brittle polymer. Give one…

A: Polymer is known for its inherent toughness and resistance to fracture .mechanical properties of…

Q: gf What is the tenacity in of den that ruptures under a load of S Provide your answer with tv

A: Given Data : Linear density of fiberρ=3.2 tex Load(F)=94.8 gf

Q: Based on the graph below, reinforcing plastic with glass fibers results in: A. An increase in…

A: Concept Of Material Science Used

Q: 3. The geometry of the reinforcing phase in a composite greatly determines the overall properties.…

Q: How do I solve for expected modulus, in GPa, for this loading scenario if the fibers comprise 65%…

A: As per given question Volume of fiber comprise=65% Elastic modulus =3.0 gpa Elastic modulus of…

Q: For a continuous and aligned fiber-reinforced composite, the modulus of elasticity in the transverse…

A: Given Data: Modulus of elasticity of matrix phase, Em=3.78 GPa

Q: Answer the following questions. i) Write down the important properties of polymers. : ii) What do…

A: (i) Important properties of the polymers. The non-conducting property. Polymers act as good…

Q: There are a variety of models that can be used to describe viscoelastic behaviors. In which of the…

A: Viscoelasticity is the property where a material behaves like both liquid as well as solid. When a…

Q: For continuous and aligned fibre composites, prove that the Young's modulus of the composites along…

A: Given: There is a continuous and aligned fiber composite. And composite has matrix and fiber. Youngs…

Q: A steel plate used for polymer forming is to be bent into a circular shape having an inside radius…

Q: The density of an unknown polymer is 1.875 g/cm³ with a % crystallinity of 50%. If the density when…

A: To find: The density of unknown polymer when totally crystalline and density when the crystallinity…

Q: Please calculate UD composite material averaged mechanical constants EL; Er; VEr; Gu Fiber and…

Q: Connecting rod (as shown below) is a car part that connects engine piston to crankshaft and converts…

A: Solution: Given Data: Tmax=150oC

Q: A continuous and aligned fiber-reinforced composite is to be produced consisting of 33 vol% aramid…

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: An unknown polymer sample was found to have the following molecular weight distribution: Molecular…

A: The DOP tells us the number of monomer units in the given polymerization reaction.

Q: Give an approximate value for the tensile strength of a Boron/Aluminum composite with Vf = 0.4.…

A: The matrix is aluminum and fibers are of boron. The volume fraction of fiber is Vf=0.4. The elastic…

Q: Calculate the modulus of rigidity (shear modulus) of an epoxy resin if the modulus of elasticity…

A: Given Young's Modulus, E = 3.5 GPa Poisson ratio = 0.35 Find Modulus of rigidity, G

Q: Using the ‘rule of mixtures’ calculate the modulus and strength, in the fiber direction and…

Q: sketch the generalized stress-strain curve for a semi-crystalline thermoplastic polymer.

A: Solution: The Generalized stress-strain curve with points labeled for a semi-crystalline…

Q: Polyethylene Terephthalate or PET is a linear semicrystalline thermoplastic polymer widely used in…

Q: Problem 4 Calculate the tensile modulus of elasticity of a unidirectional…

Q: Problem 5 Compare thermoplastic and thermosetting polymers (a) on the basis of mechanical…

A: *Answered and explained already above.

Q: An old composite product of a company is comprised of 40 vol% fibre with the Young's modulus (E =…

A: Objective:Identify which of the following statement is false regarding the replacement if Young's…

Q: A new composite material is to be manufactured from carbon fibre and resin component materials. The…

A: Given data: EC=8.25 GPaEf=142 GPaER=5.42 GPa Need to determine the relative volume fraction of…

Q: 3. A polymer sample of height 700 cm with an area of 6 m2 supports a mass of 70 tons. Youngs modulus…

Q: We make a composite with an Al matrix (E = 70 GPa) and SiC particles (E,= 430 GPa). We add enough…

Q: A sample of cross-linked natural rubber (polyisoprene) is found to have a shear modulus of 100 kPa…

Q: In comparison with a brittle polymer, a ductile polymer yields and then breaks at a higher stress…

A: The graphed stress and strain of a material or metal is represented by a stress-strain curve. In…

Q: Which of the following statements about the uniaxial stress-strain behavior of polymers true (a) The…

A: Que: Which of the following statements about the uniaxial stress-strain behavior of polymers is true…

Q: c mechanism in semi-crystallin

A: The misshapening of polymers is only "the change the inside design of an atomic bonds". a}Elasticity…

Q: Problem 1.5 A component of a composite rocket motor case is subject to a state of stress o₂ = 10…

A: To find: The optimum fiber orientation. Given: The state of stress is σx=10 MPa, σy=5 MPa and…

Q: A manufacturer plant to produce a new thermoplastic product. Select a suitable processing method…

A: Given:- Thermoplastic products To find:- Manufacturing method used for thermoplastic product

Q: A continuous and aligned CFRP composite is subjected to an external tensile load of 35,000 N in the…

Q: b. i. Calculate the tensile modulus of elasticity of a unidirectional Kevlar-49 fibers epoxy…

A: Given:Vm=0.63Vf=0.37Em=189.8 GPaEf=3.8 GPa

Q: For continuous and aligned fibre composites, prove that the Young's modulus of the composites along…

A: Ec = youngs modulus of composite Em = youngs modulus for matrix Ef = youngs modulus for fiber Vm =…

Q: Carbon fibers are used to reinforce with the matrix in the fiber-reinforced polymers.

A: Carbon fiber reinforced polymers are composite materials. In CFRP the reinforcement is carbon…

Q: A motor car tyre contained a fixed mass

A: Given Tyre To find Importance of mass in motor car tyre Moto car tyre is to maintain the road…

Concept explainers

Processing of Polymer Matrix Composites

The polymer matrix composite is described as a composite material that contains some polymer in the form of either fibers or powder. Polymer matrix composites are also known in short as PMC's.

Question

100%

Consider a graphite-reinforced polymer composite lamina. Use the simple rule-of-mixtures formulas to
calculate the values of the four elastic constants E1, V12, E2, and G12 for the lamina. Use V₁= 0.6.
Assume the following material properties for the matrix and fibers.
Em
4.62 GPa,
E
= 233 GPa,
E = 23.1 GPa,
G₁₂ = 8.96 GPa
m = 0.360
2 = 0.200
3 = 0.400
G3 = 8.27 GPa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

1. For a load applied in the direction of fiber, assuming equal deformation in the components, the two phases are viewed as being defomed in parallel. Derive an equation relating the elastic modulus of the composites. F
Q1: The fibers in a unidirectional lamina have a diameter of 12 um and weight fraction of 60%. The density of fibers is 1.5 of the density of the epoxy. Find the center-to-center spacing of the fibers if: 1. Packed in a square array in the epoxy matrix. 2. Packed in a triangular array in the epoxy matrix.
What fiber fraction would be required for a composite with titanium fibers in a polycarbonate matrix (E = 2.5 GPa) to have the fibers handle 85% of a longitudinal tensile load? (Titanium Ef = 116 GPa )
1) Assuming that the moduli and volume fractions of fiber and matrix materials are known, obtain the rule of mixtures in order to calculate the longitudinal Young's (elasticity) modulus of a unidirectional lamina by use of iso-strain assumption
1 Which one below is true for thermoplastic polymers? * O They do not soften when heated and do not harden when cooled. O Most cross-linked polymers are thermoplastics. O None of them. O They are harder and stronger than thermosetting polymers.
Can someone assist me please? Thanks.
answer quickly
i need the answer quickly
Please written by hand
I need the solution of this question,please. Prove that the area fraction equal to volume fraction when using aligned fibers in composite materials.
Answer whats in the image, please and thank you
Compute the ultimate strength for a composite which uses Aramid fibers and Polyester matrix. The volume fraction of fibers is 45 % and matrix is 55 %.