The relaxation modulus of a specimen of tissue is ?(?) = ?0?−?. What is the time...
The relaxation modulus of a specimen of tissue is ?(?) = ?0?−?. What is the time dependent stress in this material if it is subjected to the time-dependent strain ?(?) = ? for ? < ?0, ?(?) = ??0 for ? > ?0?
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The relaxation modulus of a specimen of tissue is ?(?) = ?0?−?.
What is the time...
plastic 7. For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays...
plastic
7. For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to o(t)-σ(0) exp(-- where o(t) and o(0) represents the time-dependent and initial (i.e., time -0) stresses, respectively, and t and τ denote elapsed time and the relaxation time, τ is a time-independent constant characteristic of the material. A specimen of some viscoelastic polymer with the stress relaxation that obeys the above equation was suddenly pulled in a tension to a measured...
(10 points) Define relaxation modulus and draw how it changes with increasing temperature for a g...
(10 points) Define relaxation modulus and draw how it changes with increasing temperature for a glassy polymer (15 points) Define relaxation time, and elaborate a reasoning to predict changes with temperature. 1. 2. (75 points) Derive the response of a Maxwell element in an engineering stress-strain test in which the rate of tensile strain is maintained constant. 3. Assume e 0 for t 0 and reasonable values for the constants: (a) Plot stress as a function of time. (b) Plot...
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of...
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of elasticity E2. Р 0.5 in o (ksi) 45 36 E2 E1 0.0012 0.003 € (in/in) 3000 ksi 4000 ksi 4500 ksi C 5000 ksi
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of...
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of elasticity Ej. 20 mm O (MPa) 550 E2 400 E1 -E (mm/mm) 0.002 0.03 O 250000 MPa O 220000 MPa O 200000 MPa O 190000 MPa
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of...
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of elasticity E2. 20 mm (MPa) 550 Ea 400 Ει -€ (mm/mm) 0.002 0.03 4750 MPa 5350 MPa 5850 MPa 6250 MPa MacBook Air 20 DOO 74 # 1 * - 3 $ 4 % 5 & 7 6 I 0 8 9 ER T Y U i
Chapter 06, Problem 6.50 A steel alloy specimen having a rectangular cross section of dimensions 19.0...
Chapter 06, Problem 6.50 A steel alloy specimen having a rectangular cross section of dimensions 19.0 mm x 3.2 mm (0.7480 in. x 0.1260 in.) has the stress-strain behavior shown in the Animated Figure. If this specimen is subjected to a tensile force of 100900 N (22680 lbf) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 400 mm, what will be its final length after...
Pageく ) of Problem3 (45 pts. A cylindrical specimen of asphalt concrete with a 4-inch diameter...
Pageく ) of Problem3 (45 pts. A cylindrical specimen of asphalt concrete with a 4-inch diameter and a 6- inch height is subjected to an axial compressive static load of 150 lb for 1 hour, after which the load is removed. The test was performed at a temperature of 100°F. Plots of stress versus time and strain versus time during the loading are given below. Is this material elastic or viscous? Explain. (10 pts.) How do you describe the mechanical...
Need ASAP, Show all steps. Thanks. Supplemental Problems 10.16 A 12-in.-diameter structural nickel steel specimen was...
Need ASAP, Show all steps. Thanks.
Supplemental Problems 10.16 A 12-in.-diameter structural nickel steel specimen was subjected to a tension test. After rupture it was determined that the 2-in. standard-gage length had stretched to 2.42 in. The minimum diameter at the fracture was measured to be 0.422 in. Compute the percent elongation and percent reduction in area. 10.20 During a tensile test of a steel specimen, the strain at a stress of 35 MPa was calculated to be 0.000 170...
1 Figure 2. The specimen was loaded to 7 You have been provided the tensile test...
1 Figure 2. The specimen was loaded to 7 You have been provided the tensile test results shown in Figure 2. The specimen fracture. Using these results, determine the following: Young's Modulus (3 points). The Yield Stress at 0.2% offset (3 points). The Ultimate Tensile Stress (1 point). The percent elongation at failure (1 point). • The toughness of the material (2 points). --- - -- Stress (o) (MPa) 0.04 0.035 0 0.045 0 0.005 0.01 0.015 0.02 0.025 0.03...
The specimen isn't very thick or thin, so we cannot assume a state of plane strain...
The specimen isn't very thick or thin, so we cannot assume a state of plane strain or plane stress. Thus we expect a fully 3D strain state at any given location in the specimen. For example: 7 a -30 25 -30 6 -42 um/m ( 25 -42c ) e= 1 Assume an isotropic material with Young's modulus of 27 GPa and Poisson ratio of 0.14. Given that a = -2, b = 3, and c = 3, what is the...
plastic
7. For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to o(t)-σ(0) exp(-- where o(t) and o(0) represents the time-dependent and initial (i.e., time -0) stresses, respectively, and t and τ denote elapsed time and the relaxation time, τ is a time-independent constant characteristic of the material. A specimen of some viscoelastic polymer with the stress relaxation that obeys the above equation was suddenly pulled in a tension to a measured...
(10 points) Define relaxation modulus and draw how it changes with increasing temperature for a glassy polymer (15 points) Define relaxation time, and elaborate a reasoning to predict changes with temperature. 1. 2. (75 points) Derive the response of a Maxwell element in an engineering stress-strain test in which the rate of tensile strain is maintained constant. 3. Assume e 0 for t 0 and reasonable values for the constants: (a) Plot stress as a function of time. (b) Plot...
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of elasticity E2. Р 0.5 in o (ksi) 45 36 E2 E1 0.0012 0.003 € (in/in) 3000 ksi 4000 ksi 4500 ksi C 5000 ksi
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of elasticity Ej. 20 mm O (MPa) 550 E2 400 E1 -E (mm/mm) 0.002 0.03 O 250000 MPa O 220000 MPa O 200000 MPa O 190000 MPa
The material for the tension specimen has the stress-strain diagram shown. Determine approximately the modulus of elasticity E2. 20 mm (MPa) 550 Ea 400 Ει -€ (mm/mm) 0.002 0.03 4750 MPa 5350 MPa 5850 MPa 6250 MPa MacBook Air 20 DOO 74 # 1 * - 3 $ 4 % 5 & 7 6 I 0 8 9 ER T Y U i
Chapter 06, Problem 6.50 A steel alloy specimen having a rectangular cross section of dimensions 19.0 mm x 3.2 mm (0.7480 in. x 0.1260 in.) has the stress-strain behavior shown in the Animated Figure. If this specimen is subjected to a tensile force of 100900 N (22680 lbf) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 400 mm, what will be its final length after...
Pageく ) of Problem3 (45 pts. A cylindrical specimen of asphalt concrete with a 4-inch diameter and a 6- inch height is subjected to an axial compressive static load of 150 lb for 1 hour, after which the load is removed. The test was performed at a temperature of 100°F. Plots of stress versus time and strain versus time during the loading are given below. Is this material elastic or viscous? Explain. (10 pts.) How do you describe the mechanical...
Need ASAP, Show all steps. Thanks.
Supplemental Problems 10.16 A 12-in.-diameter structural nickel steel specimen was subjected to a tension test. After rupture it was determined that the 2-in. standard-gage length had stretched to 2.42 in. The minimum diameter at the fracture was measured to be 0.422 in. Compute the percent elongation and percent reduction in area. 10.20 During a tensile test of a steel specimen, the strain at a stress of 35 MPa was calculated to be 0.000 170...
1 Figure 2. The specimen was loaded to 7 You have been provided the tensile test results shown in Figure 2. The specimen fracture. Using these results, determine the following: Young's Modulus (3 points). The Yield Stress at 0.2% offset (3 points). The Ultimate Tensile Stress (1 point). The percent elongation at failure (1 point). • The toughness of the material (2 points). --- - -- Stress (o) (MPa) 0.04 0.035 0 0.045 0 0.005 0.01 0.015 0.02 0.025 0.03...
The specimen isn't very thick or thin, so we cannot assume a state of plane strain or plane stress. Thus we expect a fully 3D strain state at any given location in the specimen. For example: 7 a -30 25 -30 6 -42 um/m ( 25 -42c ) e= 1 Assume an isotropic material with Young's modulus of 27 GPa and Poisson ratio of 0.14. Given that a = -2, b = 3, and c = 3, what is the...
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