what is the relationship between ultimate tensile strength, young modulus and elongation at break.
The available equation relates modulus of elasticity E, modulus of rigidity G, and Poisson ratio v.
That depends on your material basically there is no relation between Young modulus and tensile strength. Young's Modulus tells that how much stiffer the material is in elastic zone whereas tensile strength tells that how much load a material can bear before necking. However, elongation is inversely proportional to Youngs modulus at each point.
In fact, there isn't any particular relationship between these properties: Young's modulus determines the relationship between stress-strain, while the ultimate tensile strength is the region (the point) that endurance the highest stress, and the elongation determines the stress-strain changes up to the point of the yield stress of material (elastic region).
Best Wish,
Theses links may help you
https://www.ipc.org/TM/2.4.18.3.pdf
http://web.mit.edu/course/3/3.225/book.pdf
there is no relation between Young modulus and tensile strength. E is a ratio THAT TELLS THE STIFFNESS TENSILE IS LOAD
There is no relationship between tensile modulus and ultimate tensile strength. Tensile modulus is the slope of the stress-strain graph on the elastic region (ie. before yielding ) while the ultimate tensile strength is the maximum stress required to cause a material to yield.
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