Case StudyCalculate the Tensile ToughnessTensile toughness measures the total energy absorbed prior to fracture and is different fromfracture toughness and impact toughness. Fracture toughness measures the resistance to fracturewhen a flaw (i.e. crack) is present in the material. Since it is nearly impossible and costly tomanufacture materials with zero or near zero defects, fracture toughness is a major considerationfor all structural materials. Impact toughness measures a materials ability to withstand an impactblow (i.e. high strain rates) and is particularly important in assessing the ductile-to-brittletransition behavior (more details later). Impact toughness is also commonly referred to as notchtoughness.The tensile toughness can be estimated using the stress-strain curve by measuring the area underthe curve (both the elastic and plastic regions).Tensile Toughness = fStress, σTy-EyEfractureETSUrEyEfracture o de = U₁ + SETS o de + Sefracture o deEyEyo de = Ser o de + Ser= U₁ + SeyUrEyUltimate strengthETSEfractureIIEfo deFractureStrain, &rWhere U measures the total energy absorbed prior to yielding and is commonly known asresilience. 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 theplastic 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 valuesare 1520 MPa and 0.15 respectively.

Given data: Modulus of elasticity, E = 103 GPa Plastic deformation begins at strain value, εy= 0.007…

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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