What is Composite: Definition and 401 Discussions

A composite material (also called a composition material or shortened to composite, which is the common name) is a material which is produced from two or more constituent materials. These constituent materials have notably dissimilar chemical or physical properties and are merged to create a material with properties unlike the individual elements. Within the finished structure, the individual elements remain separate and distinct, distinguishing composites from mixtures and solid solutions.Typical engineered composite materials include:

Reinforced concrete and masonry
Composite wood such as plywood
Reinforced plastics, such as fibre-reinforced polymer or fiberglass
Ceramic matrix composites (composite ceramic and metal matrices)
Metal matrix composites
and other advanced composite materialsThere are various reasons where new material can be favoured. Typical examples include materials which are less expensive, lighter, stronger or more durable when compared with common materials.
More recently researchers have also begun to actively include sensing, actuation, computation and communication into composites, which are known as robotic materials.Composite materials are generally used for buildings, bridges, and structures such as boat hulls, swimming pool panels, racing car bodies, shower stalls, bathtubs, storage tanks, imitation granite and cultured marble sinks and countertops. They are also being increasingly use in general automotive applications.The most advanced examples perform routinely on spacecraft and aircraft in demanding environments.

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  1. R

    Is the Composition of Even and Odd Functions Always Even?

    Considering the composition of two functions ƒ · g If g is even then does this mean that ƒ · g is even? why? Or if g is odd and ƒ is even, then ƒ · g is even? How can we show these statements? Thanks.
  2. S

    MATLAB Composite Trapez-ium Rule Approximation of Integral f(x)dx

    Homework Statement Write an algorithm and Matlab function JN, which uses the Composite Trapez- ium Rule (CTR) to compute an approximation of the integral f(x) dx for an arbitrary function f of one variable. The inputs should be a, b and N (the number of subintervals), and f (the name of a...
  3. F

    Find f'(2) for Composite Functions

    Let f(x)=g(h(x)) where h(2)=3 h'(2)=4 g(3)=5 g'(3)=5 find f'(2) Attempt at a solution I tried to used the product rule, but I don't think composite function are the same as multiplying. Does anyone have any suggestions??
  4. K

    Are f and g Injective and Surjective if g\circf is Injective or Surjective?

    Could anybody help me check whether my judgements ture or false? (MJ = My Judgement) Suppose f maps A into B, and g maps B into C 1. If f and g are injective, then g\circf is injective; (MJ)but that when g\circ f is injective, the injectivity of f and g are unsure. 2. If f and g are...
  5. B

    Predicting Young's Modulus of Banana-Epoxy Composite Using MATLAB

    Hi, I am trying to analyze a composite part which is made of carbon/epoxy and has [+45/-45]2s as the layup. I got the following material properties for carbon/epoxy from the textbook "Engineering Mechanics of Composite Materials", by I.M. Daniel & O. Ishai, Longitudinal Modulus, E1=147Gpa...
  6. A

    What Is the Electric Field Magnitude in the Copper Section of a Composite Wire?

    Efield in Composite Wire..Pls help! Homework Statement A 2.0m length of wire is made by welding the end of a 1.2m long silver wire to the end of an 0.8m long copper wire. Each piece of wire is 0.60mm in diameter. The wire is at room temperature. A potential difference of 5.0V is maintained...
  7. B

    Compression in composite bars

    Homework Statement A Concrete column 2M in height 100mm in diameter and containing four steel rods each at 15mm diameter calculate the stress and the amount the column is compressed due to the load of 9Kn. the modulus of elasticity for the concrete (in this case) is 20GPa and for the steel its...
  8. P

    LED indicator for composite video signal

    Sorry.. I know this is really simple.. I have 3 composite video signals, and switches to select between them. The switches I have are SPCO, so I can't just use another pole for the switch voltage. So, I need a way of detecting the video, and this switching on and LED. At first I...
  9. M

    Finding Plate Deflection of 10*10*0.2 cm Composite Plate

    Homework Statement Dear friendes, I have just measured the strain of a composite plate at it's surface. It was an impact test. I have only epslon x. How can I find the plate defection? Plate size is equal to 10*10*0.2 cm. Homework Equations The Attempt at a Solution
  10. J

    Working on polystyrene & graphite composite, interesting effect(s)

    Dear Folks: I have been experimenting with composite conductor materials for a while, but have had little success with getting conductivity below 200 ohms/cm. Polystyrene gel is easy to make and offers recycling opportunities, so I have been using this as a starter binder. Found that if...
  11. I

    Is this correct?Is f onto if g∘f is onto and g is one-to-one?

    Homework Statement Let f: X\rightarrowY and g: Y\rightarrowZ be functions. Prove or disprove the following: if g\circf is onto and g is one-to-one then f is onto. Homework Equations N/A The Attempt at a Solution I'm honestly not sure what to do with this. I believe that the...
  12. F

    Even & Odd Functions: What Happens When Applied?

    If i had an even fuction and i applied another even function to it, would the end result still be even? Other questions follow the same pattern, if i had an odd function and applied another odd function to it, would it still be odd? And suppose i had an even function and applied an odd...
  13. T

    Composite Functions and Uniform Convergence: A Closer Look

    When is the following true? f(lim_{n\rightarrow\infty}\ g_{n}(x)) = lim_{n\rightarrow \infty}\ f(g_{n}(x)) Does anyone know of a textbook that discusses this?
  14. P

    Are There Online Calculators for Composite Material Properties?

    Composite doubt... Composites are so cool and they make me go wild... I have the composite paper only in my 6th semester and I am only in 3rd semester... I was wondering if there are any online calculators to check out the properties of composites. I want to work out with various combinations...
  15. K

    Find (f o g)' at x=1: Composite Derivative

    Find the value of (f o g)' at the given value of x. f(u)=u^5+1, u=g(x)=sqrt x, x = 1 So I found the derivate of f(u) & of u. f'(u)= 5u^4 & u'= 1/(2sqrt x) Then I plugged 1 in for x in u' & got 1/2. What I don't understand is why I can't just then plug 1/2 in for u & solve...
  16. B

    Integration of a composite square root function, easy (hard for me )

    Integration of a composite square root function, easy (hard for me :( ) Homework Statement How would I integrate: y = \sqrt{(1 + 4x^2)} Homework Equations - The Attempt at a Solution I have no idea how to do this. I tried to to the chain rule in reverse, and then I ignored it, but I can't...
  17. C

    Composite Functions Homework | f/g(x)

    Homework Statement Given f(x) = 3/x-7 and g(x) = x^2 + 5x find each funstion below (f/g) (x)Homework Equations The Attempt at a Solution Okay so I think I have most of these steps but I think the only thing I'm missing is the factoring, which i sort of forgot over the summer. take it easy on me...
  18. M

    What material has the following composite?

    Iron 97.05% Mangenese 1.56% Chromium 0.79% Silicon 0.6%
  19. J

    How Does Linear Density Affect Wave Reflection in Composite Strings?

    Homework Statement The composite string consists of two strings having lengths of l1 and l2, and linear densities \rho1 and \rho2 Find y_{r} / y_{i} in terms of l1 and l2, and \rho1 and \rho2 Homework Equations y_{r} is the wave reflected from the "interface" of the two strings, and y_{i} is...
  20. M

    Composite Materials In Biomedical Field

    Hello, can anyone kindly tell me about the use of composite in biomedical field? And what are those composite product, and the materials name? your help is greatly appreciated, thanks a lot ^ ^
  21. M

    Composite In Biomedical Field

    Hello, anyone of you have any ideas for this question? What are the use of composites in the biomedical field and future new product of it. your reply is greatly appreciated, thanks:smile:
  22. H

    Integration of an inverse sqrt composite function

    Homework Statement “Geologist A” at the bottom of a cave signals to his colleague “Geologist B” at the surface by pushing a 11.0 kg box of samples from side to side. This causes a transverse wave to propagate up the 77.0 m rope. The total mass of the rope is 14.0 kg. Take g = 9.8 m/s². How...
  23. A

    Are There Any Pairs (P,Q) With All Composite Integers Modulo Q?

    Hi! I was thinking about primes and have a bit of a question. I apologize if this is too easy or obvious -- I haven't thought much about it. Take two relatively prime numbers, P and Q. P < Q, and P is not prime. How many pairs (P,Q) are there so that ALL positive integers which are...
  24. A

    Composite Hilbert Spaces and Operators

    So, say I have a composite hilbert space H = H_A \otimes H_B, can I write any operator in H as U_A \otimes U_B? Thanks
  25. 4

    Person A spends all his income ($100) on good X and composite good Y.

    Person A spends all his income ($100) on good X and composite good Y. Draw person A's budget constraint if good X sells for $5 each and each time he buys 5X, he receives a coupon redeemable for one unit of good Y. How would you draw this graph?
  26. S

    Properties of Composite Functions

    Question: Let f: A -> B be a bijective function. Prove that f o f^(-1) = IB (IB = I lowercase B ) Answer: Let x be an arbitrary element in the set A and f(x)=y . Therefore x is in A because f: A -> B. f o f^(-1) =f(f^(-1) (x)) and that's as far as i got any help would...
  27. B

    Find the rest mass M. of the composite particle

    A particle of rest mass m. and kinetic energy 2m.c^2 strikes and sticks to a stationary particle of rest mass 2m.. Find the rest mass M. of the composite particle. (.=zero subscript) The answer is (17)^1/2(m.)
  28. B

    Composite and one to one function

    Hi, I have this question: if f and f \circ g are 1 to 1 functions, does it follow that g is 1-1 function? My answer is NO g doesn't have to be 1-1 function. for example , if g(3)=4 and g(7)=4, then f( g(3) )= f( G(7) )=f(4) will produce the 1-1 function property. Is my...
  29. S

    Composite Design Techniques: Fiber-based Materials

    I am not sure if this is exactly the right place but it works either way. I am interested in learning more about Composite Design Techniques mainly fiber based materials (carbon, kevlar, fiberglass, ect...) does anyone here know of any good resources/books that focus predominantly upon this...
  30. marcus

    Does Sundance preon kit match Kovtun-Zee composite neutrino?

    new paper by Kovtun and Zee http://arxiv.org/abs/hep-ph/0604169 idea of composite neutrino earlier we discussed Sundance Bilson-Thompson topological preon model incorporated into quantum gravity by Lee Smolin and described in the online Lecture Series Introduction to Quantum Gravity, Lecture...
  31. F

    Solving Composite Functions Questions - Help Needed

    This is the only section so far that i don't understand, i don't know how to do some types of questions like the ones I am going to ask, can anyone please help me with these. 1. Let g(x)= x-3. Find a function of f so that f(g(x)) = x^2 2. Let f(x) = x^2. Find a function g so that f(g(x))...
  32. N

    Understanding Composite Fields and Scalar Fields

    Dear PF, Can I consider the composite field for instance psi_bar psi as a scalar filed? I mean can it be the same in all respects? Can this composite field and scalar filed treated as totally equivalent? Thks
  33. R

    Composite numbers and squares from recursive series

    This has to do with the 2nd order recursive sequence \{...a, b, c ...\} where a,b,c are any three sucessive terms and c = 6b-a + 2k. I found that it has the following property. 8ab - (a+b-k)^2 = 8bc - (b+c-k) That is eight times the product of two adjacent terms always equals the square of...
  34. M

    Composite function and continuerty

    Hello I have the following problem: Given two function f and g which are continuer on R, and some point c which belongs to R. I'm suppose to show that if f(c) = g(c), then h is continious on R. Isn't that the same as showing that that the composite function h(c) = g(f(c)) is...
  35. N

    Mastering the Chain Rule for Complex Derivatives

    I understand hhow to use the chain rule for a simple 2 part composite function, however, I tend to have problems when it gets past that. Can someone please help me master these complex derivatives, or just a few quick tips would be nice --Thanks
  36. BasketDaN

    Mechanical Steel vs. Magnetic Levitation Composite Flywheels?

    Spinning at their respective maximum velocities, approximately how much more energy will an ideal composite flywheel (magnetically levitated in a vaccum) be able to store than an ideal ball bearing steel alloy flywheel of the same size and shape? Thanks.
  37. D

    Derivatives of Composite Functions

    I just need a nudge in the rigth direction ais don't know where to start Let y = f(x^2 + 3x - 5) find dy/dx when x = 1, given that f'(-1) = 2 Thanks!
  38. D

    Differentiating composite functions

    i have bee strugglignwith thes ethree questions for some time now done the 1st one like 8 times :S - rewrite each of the following in the form y=u^n or y=ku^n, and then differntiate 1) y = ((1 + x^1/2)/ x^2/3))^3 i started this by doing writing it out as y = [(1+x^1/2)(x^-2/3)]^3 then i...
  39. F

    Coefficient of linear thermal expansion of a composite bar

    question: a composite bar of length L=L1+L2 is made from a bar of material 1 and length L1 attached to a bar of material 2 and length L2. show that the effective coefficient of linear thermal expansion is : alpha= (a1L1+a2L2)/L [- alpha/a=coefficient of linear thermal expansion] i...
  40. J

    Solving Composite Functions: Show INTEGRAL[Tof] = T(INTEGRAL[f])

    Hi, I have to solve this problem: Suppose that f is a continuous, vector-valued function and that T is a linear transformation on R^3. Show that "T o f" (stands for T composite f) is continuous and that INTEGRAL[T o f] = T(INTEGRAL[f])...
  41. H

    Are there any composite numbers in this equation?

    I was just wondering if there are any composite numbers in this equation for every number from k = 1 - 100 k * k - 79 * k + 1601 all the numbers that I have come across seem to be prime but I could be wrong so if some one could check my work Please it would be helpful
  42. F

    Proof of composite linear transformations

    Prove that if T:R^{m} \rightarrow R^{n} and U:R^{n} \rightarrow R^{p} are linear transformations that are both onto, then UT:R^{n} \rightarrow R^{p} is also onto. Can anyone point me in the right direction? Is there a theorem that I can pull out of the def'n of onto that I can begin this proof?
  43. Loren Booda

    11-D composite spacetime

    Could the 7 compactified intradimensions and 4 exploded extradimensions of superstring theory alternately arise from a composite network of zero dimensional points, one dimensional strings, two dimensional branes, three dimensional volumes, four dimensional spaces, and an interrelative time of...
  44. M

    How Do I Expand Composite Functions in Mathematics?

    Expanding Composite Functions(urgent help needed) I had to solve an assignment question, we are asked to find the formula for g^-1, except once i plug n do everything, i come up with x=f(g^-1(x)+c), which is x=f(g^-1(x)) + f(c), now i m suppose to put the formula in terms of g^-1=..., but i...
  45. X

    Solving for f in f(f(x)) = 2x^2 - 1

    What is the f, when f(f(x)) = 2x^2 - 1, Thanks alot! :confused:
  46. M

    Composite Functions: Is (f o g)^-1 = gof?

    If f:A -> B and g:B -> C are functions, is this true: f o g is also a function and (f o g) ^-1 = gof I think this isn't true, but if this isn't the case, could someone please tell me a counter example?? Thanks
  47. M

    Composite Functions: Inverse of f o g?

    If f:A -> B and g:B -> C are functions, is this true: f o g is also a function and (f o g) ^-1 = gof I think this isn't true, but if this isn't the case, could someone please tell me a counter example?? Thanks
  48. F

    The domain of a composite function

    my previous calculus teacher stressed finding the domain of a composite function; he stressed more of finding which areas were not part of the function by means of three circles and saying the function didn't pass to the other circle unless it met the range of the other function. The textbook...
  49. Gokul43201

    Proving (n^4) + 4 is Composite for All n>1: The Odd n Case

    How do you prove that (n^4) +4 is composite for all n>1 ? I found this problem in a book I was reading. The even n part is obvious. The proof for odd n cannot be done by trying to factorize [(2k+1)^4]+4. I know this is true, because I've tried and moreover, the factors of the first few such...
  50. C

    Onto and one-to-one composite functions

    I was wondering if someone here could help me with onto and one-to-one composite functions. I get the meanings of one-to-one and onto, but I'm just finding it hard applying them to composite functions. For instance if A,B and C are sets and f:A-B and g:B-C then if f isn't onto then is gof onto...
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