What Is the Maxwell Viscoelastic Relaxation Time & Stress Decay Calculator?
The Maxwell viscoelastic model represents materials that exhibit instantaneous elasticity followed by viscous stress dissipation.
How Does the Maxwell Viscoelastic Relaxation Time & Stress Decay Calculator Work?
Under constant strain, elastic spring deformation transfers gradually into viscous dashpot flow.
Maxwell Viscoelastic Relaxation Time & Stress Decay Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
\tau = \frac{\eta}{E_0}, \quad E(t) = E_0 e^{-t / \tau}, \quad \sigma(t) = \sigma_0 e^{-t / \tau}
Maxwell characteristic relaxation time constant and exponential stress relaxation.
How to Use the Maxwell Viscoelastic Relaxation Time & Stress Decay Calculator
- Input elastic modulus, dynamic viscosity, and elapsed holding time.
Step-by-Step Example Calculation
Silicone Elastomer Stress Relaxation
Input Values:
elasticModulusPa:1000000
viscosityPaS:5000000
elapsedTimeSeconds:5
Worked Steps: Calculates relaxation time tau = 5.0 s and residual stress of 36.8% at t = 5 s.
Understanding Your Result
Provides relaxation time constant tau, transient modulus E(t), and percent remaining stress.
Factors That Affect the Result
- Higher viscosity lengthens relaxation time, while stiffer elastic moduli shorten it.
When Should You Use This Calculator?
- Gasket sealing retention, polymer stress cracking, and food rheology characterization.
Assumptions & Limitations
- Ideal linear Maxwell series model; real polymers usually require generalized Maxwell (Prony) series.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Fundamental textbook rheology model taught across materials science and mechanical engineering.