Materials Science & Material Properties

Use this for “Iron is BCC with an atomic radius of 0.124 nm. What fraction of its cell do the atoms fill?”

Use this for “Copper’s cell edge is 0.3615 nm. At what angle 2θ does the (111) peak appear with 0.1542 nm X-rays?”

Use this for “Carbon in iron has D₀ = 2.3 × 10⁻⁵ m²/s and Qd = 148 kJ/mol. Find D at 900 °C.”

Use this for “Copper has 8 × 10²⁸ atom sites per m³ and Qᵥ = 0.9 eV. How many vacancies per m³ are there at 1000 °C?”

Use this for “Carbon diffuses through a 5 mm iron plate from 1.2 to 0.8 kg/m³ with D = 3 × 10⁻¹¹ m²/s. What is the flux?”

Use this for “Is a grain boundary a point, line, interfacial or volume defect?”

Use this for “A 40 wt% Sn lead–tin alloy cools through its eutectic. With α at 18.3 and the eutectic at 61.9 wt% Sn, how much ends up eutectic?”

Use this for “A 0.40 wt% C steel is cooled slowly through 727 °C. What shares of pearlite and proeutectoid ferrite form?”

Use this for “At its UTS a bar carries 400 MPa at an engineering strain of 0.10. Find the true stress and the true strain.”

Use this for “A steel yields at 250 MPa and has E = 200 GPa. How much energy per cubic meter can it store elastically?”

Use this for “A steel with KIc = 50 MPa√m carries 300 MPa. With Y = 1, how long a crack can it take before it breaks?”

Use this for “A steel creeps at 2 × 10⁻⁸ s⁻¹ under 100 MPa at 900 K (n = 5, Q = 250 kJ/mol). Find its rate under 120 MPa at 950 K.”

Use this for “A plate with a 1 mm edge crack (Y = 1.12, KIc = 50 MPa√m) is cycled from 0 to 150 MPa. With C = 10⁻¹² and m = 3, how many cycles until it breaks?”

Use this for “Carbon fibers (230 GPa) make up 60% of an epoxy (3.5 GPa) composite loaded across the fibers. Find E₂.”

Use this for “Carbon fibers (230 GPa) make up 60% of an epoxy (3.5 GPa). What share of an axial load do the fibers carry, and what is the strength if the fibers break at 3500 MPa while the epoxy carries 40 MPa?”