Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 11, Problem 29CQ
To determine
The quantity linearly related to the log of the fatigue-crack propagation rate for most materials.
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Failure of engineering materials
A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa is exposed to a stress of 1766 MPa. Assume that the parameter Y has a value of 1.6.If the largest surface crack is 0.5236 mm long, determine the critical stress .
A single zinc crystal is loaded in tension with the normal to its slip plane at 60° to the
tensile axis and the slip direction at 40° to the tensile axis.
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During a creep test (constant stress equal to 3.5 MPa) a material has an initial strain of
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Chapter 11 Solutions
Materials Science And Engineering Properties
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
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- A thin plate of a ceramic material with E = 225 GPa is loaded in tension, developing a stress of 450 MPa. Is the specimen likely to fail if the most severe flaw present is an internal crack oriented perpendicular to the load axis that has a total length 0.25 mm and a crack tip radius of curvature equal to 1 μm?arrow_forwardWhich of the following statements regarding brittle failure and crack propagation is CORRECT? Elastic energy is consumed when a crack propagates, due to unloading of a volume of material. Energy is released when the surface area of a material increases, as a result of crack propagation. O The stress at the tip of a crack is less than the nominal stress (force over the cross-sectional area of the component) because the stress flows around the defect. O The fracture toughness of a material is its resistance to an increase in the radius of curvature of a crack. O A material will fail in brittle fashion when the stress intensity at the crack tip is greater than the fracture toughness of the material.arrow_forwardTwo triangular wedges are glued together as shown in the figure. The stress acting normal to the interface, o, is MPa. 100 MPa 100 MPa on 45% 100 MPa -100 MPaarrow_forward
- Which of the following statements is incorrect? Both the grain boundary and bulk diffusion creep mechanism lead to elongated grains. For linear creep, the creep exponent in the steady-state creep rate equation is around 1. S-N curves are a plot of the stress versus the number of cycles to failure. The relaxation modulus is a time-dependent elastic modulus used for viscoelastic polymers. Crystalline polymers show a large drop in the relaxation modulus around the glass transition temperature.arrow_forwardA metal sample on a tension in the test ,296MPa , a tensile true strain 0.08, and true stress 356 MPa when the strain is 0.27. Determine the strength coefficient and strain hardening exponent in the flow curve equation.arrow_forwardA plate in equilibrium is subjected to uniform stresses along its edges with magnitude o = 30 %3D MPa and ow = 50 MPa as shown in the figure. %3D = 50 MPa %3D O = 30 MPa XX ple The Young's modulus of the material is 2 x 1011 N/m2 and the Poisson's ratio is 0.3. If o is negligibly small and assumed to be zero, then the strain Ezz isarrow_forward
- A metal is subjected to a stress alternating at 167 revolutions per minute between 335 MPa and -251.25 MPa. Assuming that f=1.09, and fatigue parameters are C=1.7 x 10-12 and n=2.91, what is the growth rate of a surface crack when it reaches a length 0.16 mm in units of nanometer per secondarrow_forwardcompare the effect of presence of a notch on ductile and brittle materials in terms of fracture behaviourarrow_forwardThe value of strain if stress is 35 MPa and Youngs modulus 65 MPaarrow_forward
- FCC single crystal is alligned such that [001] is parallel to the stress axis, σ=100MPa.arrow_forwardQ.3. (30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?arrow_forwardWhich of the following best describes distortion energy? A.Work done on an element by a force which causes deformation B.Energy stored in a material when it deforms C.Energy stored in a material needed to change its shape D.Energy stored in a material that causes a volume change For a ductile material experiencing principal stresses equal to 10 MPa (T) and 20 MPa (C), which of the following gives the closest value of the von Mises stress? A.17.3 MPa B.700 MPa C.26.5 MPa D.300 MPa If a ductile material (oY=36MPa) experiences principal stresses of 25 MPa (T) and 12 MPa (C), what would be the MINIMUM shear stress it can experience to fail under the Maximum Shear Stress theory? A.18.5 MPa B.6.5 MPa C.18.0 MPa D.37.0 MPaarrow_forward
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