Home Back

Derive The Equation For Average Flow Stress

Average Flow Stress Formula:

\[ \sigma_{avg} = \frac{\sigma_y + \sigma_{uts}}{2} \]

Pa
Pa
Pa

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Average Flow Stress?

Definition: Average flow stress is the mean stress value between the yield stress and ultimate tensile stress of a material.

Purpose: It's used in metal forming calculations to estimate the average resistance of a material to plastic deformation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_{avg} = \frac{\sigma_y + \sigma_{uts}}{2} \]

Where:

Explanation: The formula calculates the arithmetic mean of the yield stress and ultimate tensile stress to estimate the average stress during plastic deformation.

3. Importance of Average Flow Stress

Details: Accurate flow stress estimation is crucial for predicting forming loads, energy requirements, and tool life in metalworking processes like forging, rolling, and extrusion.

4. Using the Calculator

Tips: Enter the material's yield stress and ultimate tensile stress in Pascals. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: When is average flow stress used?
A: Primarily in metal forming calculations where the material undergoes significant plastic deformation.

Q2: Is this formula valid for all materials?
A: It works best for ductile metals. For brittle materials or those with unusual stress-strain curves, more complex models may be needed.

Q3: What units should I use?
A: Pascals (Pa) are recommended, but any consistent stress units will work (MPa, psi, etc.).

Q4: How accurate is this simple average?
A: It provides a reasonable estimate for many applications, but for precise work, consider integrating the actual flow stress curve.

Q5: Where can I find material properties?
A: Material property databases, textbooks, or supplier technical datasheets typically provide yield and ultimate tensile strengths.

Average Flow Stress Calculator© - All Rights Reserved 2025