What is the equation of this stress-strain curve?

AI Thread Summary
To express strain in terms of stresses for a nonlinear hardening stress-strain curve, one must analyze the curve's segments. Each line segment should be identified with its start and end values of strain (ε) to derive a corresponding linear function. These linear functions are then matched with their valid intervals on the curve. This segmented approach allows for a comprehensive representation of the entire stress-strain relationship. The discussion emphasizes the importance of breaking down the curve into manageable sections for accurate mathematical expression.
wh88
Messages
9
Reaction score
0
For this nonlinear hardening stress strain curve, how do you express strain in terms of stresses ?

upload_2017-11-14_2-0-4.png
 

Attachments

  • upload_2017-11-14_2-0-4.png
    upload_2017-11-14_2-0-4.png
    4.5 KB · Views: 1,066
Engineering news on Phys.org
Arguably you already have .That plot tells you everything .

If you mean though how to write it down using algebraic functions then you have to do it in sections . For each of the line segments on that plot identify the start and end values of ε for that segment and find a linear function which is valid for that line segment .

You then have a list of linear functions matched with a list of the intervals over which they are valid .
 
  • Like
Likes HimanshuM2376

Thread 'Bubble formation in 4 mm gap vessel'

How did you find PF?: Via Google search Hi, I have a vessel I 3D printed to investigate single bubble rise. The vessel has a 4 mm gap separated by acrylic panels. This is essentially my viewing chamber where I can record the bubble motion. The vessel is open to atmosphere. The bubble generation mechanism is composed of a syringe pump and glass capillary tube (Internal Diameter of 0.45 mm). I connect a 1/4” air line hose from the syringe to the capillary The bubble is formed at the tip...
View full post »

Thread 'HP Required to move a robot 10meters at 1.5m/sec'

I need some assistance with calculating hp requirements for moving a load. - The 4000lb load is resting on ball bearing rails so friction is effectively zero and will be covered by my added power contingencies. Load: 4000lbs Distance to travel: 10 meters. Time to Travel: 7.5 seconds Need to accelerate the load from a stop to a nominal speed then decelerate coming to a stop. My power delivery method will be a gearmotor driving a gear rack. - I suspect the pinion gear to be about 3-4in in...
View full post »
Thread 'Calculate minimum RPM to self-balance a CMG on two legs'

Thread 'Calculate minimum RPM to self-balance a CMG on two legs'

Here is a photo of a rough drawing of my apparatus that I have built many times and works. I would like to have a formula to give me the RPM necessary for the gyroscope to balance itself on the two legs (screws). I asked Claude to give me a formula and it gave me the following: Let me calculate the required RPM foreffective stabilization. I'll use the principles of gyroscopicprecession and the moment of inertia. First, let's calculate the keyparameters: 1. Moment of inertia of...
View full post »

Similar threads

Simulation of load-unload test in Abaqus
Replies
2
Views
1K
What are the most critical parameters in high-speed machines: stress or strain?
Replies
5
Views
1K
So what is the precise role that thickness plays in the resistance of a specimen to deformation or fracture during a collision?
Replies
21
Views
2K
Stress/strain concentration in shear loadings
Replies
2
Views
1K
Understanding Yield Strength & Stress Strain Curve
Replies
2
Views
6K
What is the difference between failure and fracture?
Replies
4
Views
6K
Roark's Equations for Discontinuity Stresses Syntax
Replies
1
Views
1K
Stress Analysis of Lifting Plate With Bail
Replies
1
Views
2K
Strain Energy Functions and Springs
Replies
2
Views
1K
Capped pressure vessel - strength and stability
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top