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. L

    How does this composite function simplify to 2(2^x) ?

    f(x)=2xand g(x)=2^x Find the composite function of fg(x) fg(x) =f(g(x)) =f(2^x) =2(2^x) I don’t understand how this in turn equals to 2^(x+1) [Moderator's note: Moved from a technical forum and thus no template.]
  2. Another

    Resistance of composite material

    Composite materials consist of various components such as moist wood ,how will the internal resistance of this material behave? If I want to study the resistance of composite materials, which topic should I study?
  3. karush

    MHB 2.2.206 AP Calculus Practice question derivative of a composite sine

    206 (day of year number) If $f(x)=\sin{(\ln{(2x)})}$, then $f'(x)=$ (A) $\dfrac{\sin{(\ln{(2x)}}}{2x}$ (B) $\dfrac{\cos{(\ln{(2x)}}}{x}$ (C) $\dfrac{\cos{(\ln{(2x)}}}{2x}$ (D) $\cos{\left(\dfrac{1}{2x}\right)}$ Ok W|A returned (B) $\dfrac{\cos{(\ln{(2x)}}}{x}$ but I didn't understand why...
  4. hideelo

    Composite Fermion Approach to FQHE

    I am following David Tong's notes on the Quantum Hall Effect (https://arxiv.org/abs/1606.06687). One of the approaches he takes to the FQHE is the composite fermion approach (Section 3.3.2). There are two things I am struggling with. First of all he says that a vortex is something around which...
  5. R

    B The period of a composite wave

    I am working with a simulation which generates multiple identical functions that overlap differently (i.e., they are generated with randomly different phases from each other). When I calculate the composite wave, the shape of the combined wave will differ depending on the relative phases of...
  6. Akash47

    Finding f(6) from a composite function

    It is obvious that the function f is not injective. From the given equation, we get f(f(2))=6.And since,there is an inequality given in the problem, I think we can use that to find f(6).But I have got stuck here and can't move.Do I have to find what is f(x) first?Then how?
  7. L

    I What is the Basis of a Composite System?

    If I have a composite system, like a two particle system, for exemple, I can construct my Hilbert space as the tensor product of the hilbert spaces of these particles, and, if ##\{|A;m \rangle \}## and ##\{|B;n \rangle \}## are basis in these hilbert spaces, a basis in the total hilbert space is...
  8. N

    Find the Composite Function of p & q: Relationship & Value of pq(39.72)

    Homework Statement p(x)=(2−x) / (3 + x) and q(x)= (2−3x) / (1+ x) a) Find the function pq(x). b) Hence describe the relationship between the functions p and q. c) Hence write down the exact value of pq(39.72). 2. The attempt at a solution a) I got pq(x) = x by substituting q(x) into p(x)...
  9. N

    Solving Composite Functions: Understanding the Addition Rule for Division

    Homework Statement and Find , and 2. The attempt at a solution means work out , then work out for this value. so I do not understand why we add + 3 in line before last (2 x 16 + 3) Should it not be divided by 3 as it is which means 3 x g(x) = x^2 I am a little stuck on the...
  10. Aishikdesto

    Nature of charge at the junction of a composite wire

    Homework Statement Please help me answer thew question in the image.[/B] Homework Equations Current Density J=conductivity X Electric field[/B] The Attempt at a Solution As the current density depends on the conductivity of the material through which the electrons constitutuing it are...
  11. opus

    B Limits on Composite Functions- Appears DNE but has a limit

    Please see my attached image, which is a screenshot from Khan Academy on the limits of composite functions. I just want to check if I'm understanding this correctly, particularly for #1, which has work shown on the picture. Now my question: We are taking the limit of a composition of...
  12. U

    Is f Injective? Understanding the Composition of Functions

    Homework Statement Let A, B, C be finite sets such that A and B have the same number of elements, that is, |A| = |B|. Let f : A → B and g : B → C be functions. (a) Suppose f is one-to-one. Show that f is onto. (b) Suppose g ◦ f is one-to-one. Show that g is one-to-one.Homework EquationsThe...
  13. lc99

    Carnot Engines Question -- Composite Configuration Efficiency

    Homework Statement Homework EquationsThe Attempt at a Solution Trying to figure this out. So, I'm thinking that adding a extra resevoir for another engine will not add efficiency. It will should split up the W done by the heat reservoir. It just seems to make sense that way. So would the...
  14. CDL

    Composite Spin 1/2 System Probability Question

    Homework Statement Two spin ##\frac 12## particles form a composite system. Spin A is in the eigenstate ##s_z = + \frac 12## and Spin B is in the eigenstate ##s_x = + \frac 12## What is the probability that a measurement of the total spin will give the value ##0##? Homework Equations I know...
  15. J

    I Composite traps with two-level atoms

    Let's say we have a system of spatially separated traps and two-level atoms where the levels are denoted as ##|a_i\rangle## and as ##|b_i\rangle##, and the subscript ##i## labels the trap number. The traps are initially loaded with ##N_i## atoms in the state ##|a\rangle##. If the two levels are...
  16. taiwai

    Find out the Young's modulus of a carbon fiber lamina composite

    Hello everyone, nice to be here. I am going to calculate the young modulus of 3 layers of carbon fiber laminar composite For example: 1st: 12K plain wave carbon fiber in 0 degree 2nd:3K till wave carbon fiber in 45deg 3rd:12K plain wave carbon fiber in 0 degree How can I approach to calculate...
  17. S

    Axial loading of a composite beam

    Homework Statement Homework Equations In my attempt at a solution The Attempt at a Solution
  18. arivero

    I Is the composite Higgs still a thing?

    This week I noticed a tweet from Flip Tanedo mentioning compositeness: https://twitter.com/FlipTanedo/status/976188434086641665 So, is a composite Higgs still a possibility nowadays?
  19. D

    B Domain and the codomain of a composite function

    So, I'm a bit confused. The thing is, basically, all elementary functions are of the form ƒ:ℝ→ℝ. So the domain is ℝ and so is the codomain. However, if we have a function ƒ:ℝ→ℝ, given with f(x) = √x, it's domain is now x≥0. So, is the domain of this function ℝ or [0,+∞>? Also, let's say we have...
  20. lawsonfurther

    A A bit of clarification on the domain of a composite function

    Recently when I reviewed something about the composite function for my calculus exam, I remembered I had been thinking a question for quite a long time (maybe I was going into a dead end) since I was in high school. I was thinking whether f(x)=1/(1/x) and g(x)=x are the same function or not. It...
  21. Quentin_alex

    Differential scanning calorimetry of nylon 6

    Hello, I ran a test on an industrial composite of 30% glass-filled nylon 6, and my melting temperature peak is too low. The range was from -30 C to 275 C. Why could this be happening? Should I suspect the sample pan? Thanks.
  22. J

    MHB Prime Or Composite - Proof required?

    n^2 - 14n + 40, is this quadratic composite or prime - when n ≤ 0. Determine, all integer values of 'n' - for which n^2 - 14n + 40 is prime? Proof Required. ps. I can do the workings, but the 'proof' is the problem. Many Thanks John.
  23. S

    A How to find the partial derivatives of a composite function

    Hello, dear colleague. Now I'm dealing with issues of modeling processes of heat and mass transfer in frozen and thawed soils. I am solving this problems numerically using the finite volume method (do not confuse this method with the finite element method). I found your article: "Numerical...
  24. L

    Effective Flexural Rigidity (EI) of Composite Cantilever Beam

    Hello, I am trying to derive the (Euler-Bernoulli) beam equation of a composite beam to determine the vibration and natural frequencies (up to 3 modes) of the beam. The composite beam can be modeled as in the picture below: In order to apply the general equation: (EI)effw'''' = m'eff...
  25. S

    Composite form of Boole's Rule

    Homework Statement Develop a composite form of Boole's rule for an integral of the form ∫ f(x) dx, where the bounds of integration are from [a,b]. Determine the error bound formula for the composite form of Boole's rule. ∫ g(t) dt = h/45[14g(0)+64g(h)+24g(2h)+64g(3h)+14g(4h)] -...
  26. P

    I Algorithm to create a composite score

    Hi everyone! This is an application question. I would like to get some advice about how to calculate a score based on a set of individual scores in a way that makes most sense. CONTEXT: I am going over some criteria for judging usability of hypotheses. I came up with a whole bunch about a...
  27. Arceus74

    Engineering Is composite material engineering booming?

    Greetings, I’m currently in the critical stages of my career right now and I really want to chose the best career option out there which suits my strength. My strength is doing R&D and I prefer computers and design simulation software like Ansys,Matlab,AutoCAD.I love thermodynamics,fluid...
  28. evinda

    MHB Can we use this method to efficiently check if $N$ is composite?

    Hello! (Wave) According to some notes, we can check if $N$ is composite as follows. We consider a reasonably small prime $R$. Instead of computing $(X+A)^N$ in order to check whether $(X+A)^N \mod{N}=(X^N+A) \mod{N}$ , we compute the remainder when $(X+A)^N$ is divided by $X^R-1$. That's...
  29. E

    What is the composite power of multiple RF signals?

    I need to calculate the composite power at the input of an RF distribution system, is it just the sum of the signals in milliwatts at the input? I can measure each individual signal with an a spectrum analyser but I do not have a power meter to anable measurement of the total power.
  30. D

    Rate of Heat Transfer of a Composite Pipe

    Homework Statement A composite pipe made of steel pipe ( ks = 16 W/m.K) of inner and outer radius of 0.5 and 1.0 cm and a plastic pipe (kp = 0.092 W/m.K) of inner and outer radius of 1 and 1.25 cm, respectively. If the inner surface of the steel is maintained at 900 °C and outer surface of...
  31. M

    Improve Strength of Composites Tube w/+45/-45 Layup

    Homework Statement Given a composites tube made up of +45 layup. The tube is subjected to positive torque. Suggest a new layup that will improve the strength of the tube when subject to clockwise and anti-clockwise torque. Motivate your choice. Homework EquationsThe Attempt at a Solution I...
  32. M

    MHB What are the differences between odd, composite, and prime numbers?

    What is the basic difference between an odd, composite and prime number? Give an example for each.
  33. Faraj Sungkar

    Non-halogen fire retardant composite (Mgoh2 - Epoxy)

    Hello, I'm currently doing research for my thesis about non halogen fire retardant composite. One of the main result is deviate and confusing because: There is no fire retardancy's effect of Magnesium Hydroxide addition to resin epoxy. Why?Any suggestions? Thanks
  34. lfdahl

    MHB Prove a_n=⌊2^n√2⌋ contains infinitely many composite numbers

    Prove, that the sequence: $a_n = \left\lfloor{2^n\sqrt{2}}\right\rfloor,\;\;\;\;n = 1,2,3,..$- contains infinitely many composite numbers.
  35. D

    I Characteristics of trigonometric function compositions like sin(sin(x))

    Hello, Are there any particular properties, indentities or usages of composite trigonometric functions, say sin(sinx) or cos(sin(x))?
  36. H

    A Are Neutralinos Considered Composite in Supersymmetric Models?

    In supersymmetric extensions of the standard model, the neutralinos and charginos (popular candidates for dark matter) are often included. However, it is known that these fermionic particles are linear combinations of supersymmetric bosinos (such as gauginos and higgsinos). Therefore, it seems...
  37. S

    Unknown composite function

    Homework Statement Find f(x) given that f ( f(x) - x2) = x2 - 5x + 3 Homework Equations Not sure The Attempt at a Solution I tried assuming f(x) = ax + b and use composite function but end up wrong. Please give me idea to start Thanks
  38. mattyboson12

    High Shear Stiffness & Low Poisson's Ratio Lay-up Solutions

    Homework Statement a)Describe a potential laminate lay-up that would exhibit high shear stiffness b)Describe a potential laminate lay-up that would exhibit a low poissons ratio The Attempt at a Solution a) is a unidirectional lay-up in the direction of the shear force best? b) an evenly layup...
  39. U

    Need help with a laminate analysis problem

    Hi, I am looking for some guidance on a problem I am trying to solve on laminate analysis. This is a flat laminate (9 plies with a thickness of 0.125mm) of unidirectional carbon fibre reinforced plastic with a stacking sequence of: 0/60/0/-60/90/-60/0/60/0. Ply properties are as follows: E1 =...
  40. F

    MHB Prove Injectivity & Surjectivity of Composite Application f

    Let f be an application from E to E (E≠∅) such that f∘f∘f = f Prove f is an injection ⇔ f is a surjection I honestly have no idea how to start and I'd love to know the answer before my math exam tomorrow morning (Thinking)
  41. M

    Parallel Axis Theorem- Composite Areas (STATICS)

    Homework Statement Consider the beam shown in (Figure 1) . Suppose that a = 15 in. , b = 8 in. , c = 1 in., and d = 4 in. Determine the moment of inertia for the beam's cross-sectional area about the x axis...
  42. Quadrat

    What is the range of the composite function h?

    Homework Statement [/B] The function ##f##, ##{f: ℤ → ℚ}## defined as ##f(a)=cos(πa)## The function ##g##, ##{g: ℚ→ ℝ}## defined as ##g(a)=(5a)/4## Let h be the composite funciton ##h(a)=f(g(a))## What's the range of this function h? Homework Equations [/B] ##h(a)=cos(5πa/4)## The domain...
  43. N

    MHB Finding f/g: Composite Functions

    The questions is asking me to find \frac{f}{g} basically , the question is asking me to find the answer , even though i know it, i can't get my head around it. the composite function is f(x)=x^2+1 g(x)=1/x we need to find foG (f of g) [composite functions].
  44. toforfiltum

    Conflicting result in derivative of composite function

    Homework Statement Let $$f(x,y)=\begin{cases} \frac{x^2y}{x^2+y^2} \space & \text{if} \space(x,y)\neq(0,0)\\0 \space & \text{if} \space(x,y)=(0,0)\end{cases}$$ a) Use the definition of the partial derivative to find ##f_x(0,0)## and ##f_y(0,0)##. b) Let a be a nonzero constant and let...
  45. D

    Modal and Harmonic Analysis of composite

    Can someone help me with the procedures for Modal Analysis and Harmonic Analysis of Composites using ANSYS APDL?
  46. C

    Understanding Composite Bar Angle of Twist: Material Differences Explained

    Homework Statement φ is the angle of twist , i don't understand why the angle of twist must be the same for 2 bars ... Homework EquationsThe Attempt at a Solution They are made of different material , how could the angle of twist be the same for 2 bars ?
  47. mister mishka

    How to delay (and control) a composite video signal?

    Hey, I want to set my own delays to a composite video signal, for use of live video feedback effects (for visuals / art purposes). I am no electrician, but this can't be hard to do right? After searching a few hours online, I haven't come up with any device that I can buy which will do this. Is...
  48. Kirito123

    Finding the Missing Side Length of a Composite Shape

    Homework Statement Homework Equations A = l x w A = hbb / 2 The Attempt at a Solution To find the area of a rectangle you would use the formula "A = L x W". In this case A = 14 x 8 which is eual to 112, Now all i need is the area of the triangle and then i add them together and that will be...
  49. 5

    Find derivative of composite function

    Homework Statement [/B] Consider the equation z=6x8ln(x) where z and x are functions of t.If dx/dt=5 when x=e calculate dz/dt. Homework Equations [/B] Do I have to rearrange the equation to do this?The Attempt at a Solution
  50. C

    I Raising and lowering operators for a composite isospin SU(2)

    Consider pion states composed of ##q \bar q## pairs where ##q \in \left\{u,d \right\}## transforms under an ##SU(2)## isospin flavour symmetry. These bound states transform in the tensor product ##R_1 \otimes R_2## of two representations ##(R_1, R_2)## of ##SU(2)##. Take ##R_2## as the...
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