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deformation (y) to the point at which necking begins (Ers) may be approximated by a = Ke". The constant values K and n vary by alloy and also depend on the condition of the material (e.g. %CW, heat-treatment, etc. - more details later). The parameter n is often termed the strain- hardening exponent and has a value less than one. Find the tensile toughness for a metal alloy with modulus of elasticity of 103 GPa. Assume the plastic deformation begins at a strain value of 0.007 and fracture occurs at a strain value of 0.60. Assume also that fracture occurs at the point where necking begins and that the K and n values are 1520 MPa and 0.15 respectively.

deformation (y) to the point at which necking begins (Ers) may be approximated by a = Ke". The constant values K and n vary by alloy and also depend on the condition of the material (e.g. %CW, heat-treatment, etc. - more details later). The parameter n is often termed the strain- hardening exponent and has a value less than one. Find the tensile toughness for a metal alloy with modulus of elasticity of 103 GPa. Assume the plastic deformation begins at a strain value of 0.007 and fracture occurs at a strain value of 0.60. Assume also that fracture occurs at the point where necking begins and that the K and n values are 1520 MPa and 0.15 respectively.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Case Study Calculate the Tensile Toughness Tensile toughness measures the total energy absorbed prior to fracture and is different from fracture toughness and impact toughness. Fracture toughness measures the resistance to fracture when a flaw (i.e. crack) is present in the material. Since it is nearly impossible and costly to manufacture materials with zero or near zero defects, fracture toughness is a major consideration for all structural materials. Impact toughness measures a materials ability to withstand an impact blow (i.e. high strain rates) and is particularly important in assessing the ductile-to-brittle transition behavior (more details later). Impact toughness is also commonly referred to as notch toughness. The tensile toughness can be estimated using the stress-strain curve by measuring the area under the curve (both the elastic and plastic regions). Tensile Toughness = f Stress, σ Ty- Ey Efracture ETS Ur Ey Efracture o de = U₁ + SETS o de + Sefracture o de Ey Ey o de = Ser o de + Ser = U₁ + Sey Ur Ey Ultimate strength ETS Efracture I I Ef o de Fracture Strain, & r Where U measures the total energy absorbed prior to yielding and is commonly known as resilience. For some metal alloys, the region of the stress-strain curve from the onset of plastic
Transcribed Image Text:Case Study Calculate the Tensile Toughness Tensile toughness measures the total energy absorbed prior to fracture and is different from fracture toughness and impact toughness. Fracture toughness measures the resistance to fracture when a flaw (i.e. crack) is present in the material. Since it is nearly impossible and costly to manufacture materials with zero or near zero defects, fracture toughness is a major consideration for all structural materials. Impact toughness measures a materials ability to withstand an impact blow (i.e. high strain rates) and is particularly important in assessing the ductile-to-brittle transition behavior (more details later). Impact toughness is also commonly referred to as notch toughness. The tensile toughness can be estimated using the stress-strain curve by measuring the area under the curve (both the elastic and plastic regions). Tensile Toughness = f Stress, σ Ty- Ey Efracture ETS Ur Ey Efracture o de = U₁ + SETS o de + Sefracture o de Ey Ey o de = Ser o de + Ser = U₁ + Sey Ur Ey Ultimate strength ETS Efracture I I Ef o de Fracture Strain, & r Where U measures the total energy absorbed prior to yielding and is commonly known as resilience. For some metal alloys, the region of the stress-strain curve from the onset of plastic
deformation (₂) to the point at which necking begins (Ers) may be approximated by o = Ke”. The constant values K and n vary by alloy and also depend on the condition of the material (e.g. %CW, heat-treatment, etc. - more details later). The parameter n is often termed the strain- hardening exponent and has a value less than one. Find the tensile toughness for a metal alloy with modulus of elasticity of 103 GPa. Assume the plastic deformation begins at a strain value of 0.007 and fracture occurs at a strain value of 0.60. Assume also that fracture occurs at the point where necking begins and that the K and n values are 1520 MPa and 0.15 respectively.
Transcribed Image Text:deformation (₂) to the point at which necking begins (Ers) may be approximated by o = Ke”. The constant values K and n vary by alloy and also depend on the condition of the material (e.g. %CW, heat-treatment, etc. - more details later). The parameter n is often termed the strain- hardening exponent and has a value less than one. Find the tensile toughness for a metal alloy with modulus of elasticity of 103 GPa. Assume the plastic deformation begins at a strain value of 0.007 and fracture occurs at a strain value of 0.60. Assume also that fracture occurs at the point where necking begins and that the K and n values are 1520 MPa and 0.15 respectively.
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