[Material Science and Engineering] Suppose you are evaluating the production of a new material to design a specific area

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[Material Science and Engineering] Suppose you are evaluating the production of a new material to design a specific area

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[Material Science and Engineering]
Suppose you are evaluating the production of a new material to
design a specific area of ​​the fishing rods that normally suffers
from breakage. Given the above, you propose to build a material
composed of unidirectional fibers (see in Figure) of material A
(EA = 150 GPa; vA = 0.2; pA =
2,000 $/m3) and a matrix of material B (EB = 5 GPa,
vB= 0.4, pB = $500/m3). It should be
noted that for the composite material to be a matrix with fibers,
the matrix must be at least 50% of the material. From preliminary
tests, together with his team, they determine that the minimum
properties of the material should be: Ex = 55 GPa, Ey = 7 GPa and
Gxy = 3.2 GPa. You are asked to design the material and answer the
following:
1) With the manufactured material, carry out a test on the
composite material, which consists of exposing it to a stress state
σx = -4,300 MPa, σy = 1,600 MPa and Txy = -2,000 MPa, calculate the
associated unitary strain tensor. (Emix=77.5 GPa, v=0.3, Gxy=
29.807 GPa)
2) If another member of the team proposes to use another type of
fiber of a material C (Ec = 60 GPa;
vc=0.45; pc = $1,200/m3), this is
because the cost of material C is less than that of material A
(cost of material A and B is 1250/m3). Evaluate your team member's
idea so that the material requirements are met, report its
properties, and determine if if this option is more
convenient.
Material Science And Engineering Suppose You Are Evaluating The Production Of A New Material To Design A Specific Area 1
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