Stress/Strain Curve from a few values?

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SUMMARY

The discussion focuses on creating a stress-strain curve for weld deposits to meet specific impact requirements of 1.3 kJ. Key parameters provided include Ultimate Tensile Strength (UTS) of 759 MPa, 0.2% Proof Strength of 598 MPa, and elongation (El) of 18.6%. To construct the curve, three critical points are identified: the elastic limit (EL), yield point (YP), and UTS, which can be plotted using the relationships between stress and strain. The area under the curve represents strain energy density, which must exceed 1.3 kJ while remaining below 3.6 kJ to ensure structural integrity.

PREREQUISITES
  • Understanding of stress-strain relationships in materials
  • Familiarity with mechanical properties such as UTS and yield strength
  • Basic knowledge of plotting graphs and interpreting curves
  • Experience with MATLAB or Excel for data visualization
NEXT STEPS
  • Learn how to calculate stress and strain using the formula EL = stress/strain
  • Research methods for plotting stress-strain curves in Excel
  • Explore MATLAB functions for calculating area under a curve
  • Investigate different weld joint designs that can meet specific impact requirements
USEFUL FOR

Structural engineers, materials scientists, and welders involved in designing and analyzing weld joints for impact resistance will benefit from this discussion.

kieren12345
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Hi all,

I am trying to ensure that some supporting welds for a structure will meet the impact requirement of 1.3kJ.

I have the following information for the weld deposit:
UTS: 759 MPa
0.2% Proof: 598MPa
18.6% El
69.9% RofA

Is there any formulas that I can use to create a fairly accurate stress strain curve? I need the curve so that I can estimate the energy absorption of the material.

I cannot just over engineer this weld as with an impact of 3.6kJ the weld must break.

Any help on this matter will be greatly appreciated as this is the first time I have done anything like this.

Thanks

Kieren
 
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so u have a ductile material in ur hands. i can tell u how to find 3 points on the curve. i don't knw wat RofA means but i guess it'll help u get a more accurate shape or more points for the curve.

To draw the whole curve, u have the EL i don't what the unit in %age means but i guess u can direcly plot it on the graph. if u can't then u can use the relation EL=stress/strain and just plot the point (1,EL).

u have 0.2% proof = 598Mpa. so u plot 0.2% point on the strain axis and draw a line parallel to the proportional line (the line from origin to the EL). u have the corresponding stress at 598Mpa and so now u have the yield point.

next u have the ultimate tensile stress, you divide it by the EL and you get the corresponding strain at that point. and then you plot the point.

so u have 3 points on the curve (EL, YP, UTS). u draw a straight line connecting the origin to the EL. i don't know how u would join the other points :(. mayb plot it in excel and see wat it shows. anyway, a straight line will give u an approximate value and can be easily calculated, area under a curve would be a pain to calculate. if u knw MATLAB then u can use tht.

now this area under the curve will be your strain energy density (u).we have the relation u= energy/volume. volume=area*length. you probably have this data from your structure. calculate the energy corresponding to the area under the graph.

now you have your impact requirement of 1.3kJ, so the energy that you had calculated earlier should be greater than this (take a suitable FOS), but less than or equal to 3.6KJ. if it isn't then u probably need a different weld joint.

correct me if m wrong, and i hope this helps. :)
 

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