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Norton-Bailey Steady-State Creep Power Law Calculator

Secondary (steady-state) creep is the longest phase of high-temperature deformation, where strain rate remains constant.

Operating tensile stress in the component.

Stress exponent (typically 3 to 8 for dislocation climb creep in metals).

Temperature-dependent Arrhenius coefficient A(T).

Calculated Result
2.416e-5 h⁻¹

Secondary Steady-State Creep Rate (ε̇ss)

Strain Rate per Second

6.710e-9 s⁻¹

Strain Rate per 1000h

2.4158% / 1000h

Calculation Breakdown

  1. Norton Power Law Formulationε̇ss = A · σⁿ = 1.50e-15 · (110)^5 = 2.416e-5 h⁻¹

What Is the Norton-Bailey Steady-State Creep Power Law Calculator?

F.H. Norton in 1929 formulated the power-law relationship between stress and steady-state creep strain rate.

It represents the dislocation climb-assisted glide regime that dominates high-temperature engineering alloys.

How Does the Norton-Bailey Steady-State Creep Power Law Calculator Work?

Because the exponent n is typically between 4 and 7, creep strain rate is extremely sensitive to stress.

A modest 15% increase in operating stress can quadruple the steady-state creep rate.

Norton-Bailey Steady-State Creep Power Law Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\dot{\varepsilon}_{ss} = A \cdot \sigma^n

Norton classical power-law for secondary steady-state dislocation creep rate.

How to Use the Norton-Bailey Steady-State Creep Power Law Calculator

  1. Input operating stress in MPa, Norton exponent n, and coefficient A.
  2. Review steady-state creep rate per hour, per second, and accumulated strain per 1,000 hours.

Step-by-Step Example Calculation

Stainless Steel Piping Creep

Input Values:

appliedStressMPa:100
nortonStressExponentN:5
nortonCoefficientA:2e-15
Worked Steps: Predicts secondary creep rate of 2.0×10⁻⁵ h⁻¹ (0.002% per 100 hours).

Understanding Your Result

Integrates directly into finite element solvers (ANSYS, ABAQUS) for non-linear high-temperature stress relaxation.

Factors That Affect the Result

  • Pre-factor A scales exponentially with temperature according to Arrhenius activation energy: A ∝ exp(-Q/RT).

When Should You Use This Calculator?

  • Turbine blade stress relaxation, pressure vessel creep design (ASME Section VIII Div 2), and piping flexibility.

Assumptions & Limitations

  • Applies specifically to secondary steady-state creep; primary hardening and tertiary acceleration are not included.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard ASME and British Standards high-temperature creep power law.

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