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Dynamic Mechanical Analysis (DMA) Storage Modulus, Loss Modulus & Tan Delta Calculator

Easily calculate and compute dynamic mechanical analysis (dma) storage modulus, loss modulus & tan delta calculator with accurate equations, live formulas, and expert guidance.

Peak sinusoidal stress in linear viscoelastic regime.

Resulting strain amplitude (typically 0.05% to 0.5%).

Phase lag between stress and strain (0° = ideal elastic, 90° = ideal viscous).

Calculated Result
0.47 tan δ

Loss Factor (tan δ)

Loss Factor (tan δ)

0.47 tan δ

Damping Factor Tan Delta

0.466

Storage Modulus E Prime Mpa

2265.8

Loss Modulus E Double Prime Mpa

1056.5

Complex Modulus E Star Mpa

2500

0.47 — tan δ

Calculation Breakdown

  1. Applied FormulaCalculates the dynamic elastic storage modulus (E′), viscous loss modulus (E″), and mechanical damping loss factor (tan δ) from oscillatory DMA test measurements.E^\prime = |E^*|\cos\delta, \quad E^{\prime\prime} = |E^*|\sin\delta, \quad \tan\delta = \frac{E^{\prime\prime}}{E^\prime}

DMA Tan Delta & Loss Factor Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Loss Factor (tan δ)

What Is the Dynamic Mechanical Analysis (DMA) Storage Modulus, Loss Modulus & Tan Delta Calculator?

This tool computes dynamic mechanical analysis (dma) storage modulus, loss modulus & tan delta calculator with high precision arithmetic.

How Does the Dynamic Mechanical Analysis (DMA) Storage Modulus, Loss Modulus & Tan Delta Calculator Work?

Calculates the dynamic elastic storage modulus (E′), viscous loss modulus (E″), and mechanical damping loss factor (tan δ) from oscillatory DMA test measurements.

Dynamic Mechanical Analysis (DMA) Storage Modulus, Loss Modulus & Tan Delta Calculator Formula & Variables

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

E′=∣E∗∣cos⁡δ,E′′=∣E∗∣sin⁡δ,tan⁡δ=E′′E′E^\prime = |E^*|\cos\delta, \quad E^{\prime\prime} = |E^*|\sin\delta, \quad \tan\delta = \frac{E^{\prime\prime}}{E^\prime}

Calculates the dynamic elastic storage modulus (E′), viscous loss modulus (E″), and mechanical damping loss factor (tan δ) from oscillatory DMA test measurements.

How to Use the Dynamic Mechanical Analysis (DMA) Storage Modulus, Loss Modulus & Tan Delta Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Dynamic Mechanical Analysis (DMA) Storage Modulus, Loss Modulus & Tan Delta Calculator Example

Input Values:

appliedStressAmplitudeMpa:5
measuredStrainAmplitudePercent:0.2
phaseLagAngleDegrees:25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required tan δ.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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