In unidirectional composites, cylindrical fibers are considered to be packed in square or hexagonal arrays and fibers are assumed to be touching each other as shown in figure below for making a simpler mathematical model. These two simple packing models are used to establish theoretical upper bound for fiber volume fractions in the composites. By selecting representative area elements (repeating unit cell) having edge length 'a0' and fiber radius 'r', compute fiber and matrix volume fractions in a square array with circular cross section of the reinforcement.

In unidirectional composites, cylindrical fibers are considered to be packed in square or hexagonal arrays and fibers are assumed to be touching each other as shown in figure below for making a simpler mathematical model. These two simple packing models are used to establish theoretical upper bound for fiber volume fractions in the composites. By selecting representative area elements (repeating unit cell) having edge length 'a0' and fiber radius 'r', compute fiber and matrix volume fractions in a square array with circular cross section of the reinforcement.

Similar questions

Using the Pascal Principle of Compression, Identify the percent error of the given values:
Problem 1: A piece of 2-gauge copper wire has a length of 17.75 m. The tables provided may be a convenient source of data. Wire diameter d for select gauges in the AWG (American Wire Gauge) system. 4 6 8 10 14 16 5.189 4.115 3.264 2.588 1.628 1.291 gauge d (mm) 0 8.251 R = material conductors silver copper gold aluminum tungsten iron constantan mercury nichrome 2 6.544 Conductivity (o), resistivity (p), and temperature coefficient of resistivity (a) at 20°C for select materials. o (1/(Q.m)) p (Q.m) a (°C-¹) semiconductors carbon (pure) germanium (pure) silicon (pure) What is the resistance, in ohms, of the given length of wire? 6.29 × 107 3.8 x 10-3 5.95 × 107 3.9 × 10-3 4.10 × 107 3.4 x 10-3 3.77 x 107 3.9 × 10-3 1.79 × 107 4.5 x 10-3 1.03 × 107 6.5 x 10-3 0.20 × 107 0.03 × 10-3 0.10 × 107 0.9 × 10-³ 0.10 × 107 100. × 10-8 0.4 x 10-3 (Values for semiconductors depend strongly on type and amount of impurities.) 2.86 x 10-6 3.50 × 10-5 -0.5 × 10-3 0.60 -0.048 -0.075 2300 Ω sin() cotan()…
How do you calculate the thickness of aluminum foil?
Please answer this. I will surely upvote!!!
Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown in the figure below. The monument is made from tens of thousands of small stone blocks of density3 633kg/m3. The monument is16.7m high and68.5m wide at its base and is everywhere3.70m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. How much work did laborers do on the blocks to put them in position while building the entire monument?Note: The gravitational potential energy of an object-Earth system is given byUg=MgyCM, whereMis the total mass of the object andyCMis the elevation of its center of mass above the chosen reference level.J
Can you solve it in 20 minutes please
Let Pa represent the density of aluminum and Pf that of iron. Find an expression of the radius (ra ) of a solid aluminum sphere that balances a solid iron sphere of radius rf on an equal-arm balance
Please answer this. I will surely upvote!!!
(a) What is the volume (in km3) of Avogadro’s number of sand grains if each grain is a cube and has sides that are 1.0 mm long? (b) How many kilometers of beaches in length would this cover if the beach averages 100 m in width and 10.0 m in depth? Neglect air spaces between grains.
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 × 103 kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of th sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.675 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that i its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.4 cm. What is the moment of inertia (in kg m2) of the tire about an axis perpendicular to the page through its center? " 33.0 cm 16.5 cm Sidewall 30.5 cm Tread Enter a number. find the moment of inertia of the sidewall and the moment of inertia of the tread region. Each can be modeled as a cylinder of nonzero thickness. What is the inner and outer radius for each case? What is the formula for the moment of inertia for a thick-walled cylinder? How can you find the mass of a hollow cylinder?…
dx b. Evaluate the integral " using residues and any other method which can be applied to solve this integral, then compare the results.
Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.