Skip to main content

Lithium-Ion Cathode Particle Diffusion-Induced Stress (DIS) Calculator

Easily calculate and compute lithium-ion cathode particle diffusion-induced stress (dis) calculator with accurate equations, live formulas, and expert guidance.

NMC / LCO cathode particle E ≈ 120 to 180 GPa.

Typical ceramic oxide ν ≈ 0.25.

Expansion volume per mole of intercalated Li (~3 to 5 cm³/mol).

Surface-to-core concentration difference during fast charging.

Calculated Result
980 MPa

Tensile Stress

Tensile Stress

980 MPa

Peak Surface Tensile Stress Mpa

980

Particle Fracture Risk

HIGH CHEMO-MECHANICAL FRACTURE RISK: Tensile hoop stress exceeds fracture strength of NMC cathode particles, causing intergranular microcracking

980 — MPa

Calculation Breakdown

  1. Applied FormulaCalculates the peak mechanical tensile hoop stress generated at the surface of spherical battery electrode particles during fast lithium intercalation and deintercalation.\sigma_\theta = \frac{E \Omega}{3(1 - \nu)} \Delta C

Battery Particle Diffusion Stress Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0245490735980Tensile Stress

What Is the Lithium-Ion Cathode Particle Diffusion-Induced Stress (DIS) Calculator?

This tool computes lithium-ion cathode particle diffusion-induced stress (dis) calculator with high precision arithmetic.

How Does the Lithium-Ion Cathode Particle Diffusion-Induced Stress (DIS) Calculator Work?

Calculates the peak mechanical tensile hoop stress generated at the surface of spherical battery electrode particles during fast lithium intercalation and deintercalation.

Lithium-Ion Cathode Particle Diffusion-Induced Stress (DIS) Calculator Formula & Variables

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

σθ=EΩ3(1−ν)ΔC\sigma_\theta = \frac{E \Omega}{3(1 - \nu)} \Delta C

Calculates the peak mechanical tensile hoop stress generated at the surface of spherical battery electrode particles during fast lithium intercalation and deintercalation.

How to Use the Lithium-Ion Cathode Particle Diffusion-Induced Stress (DIS) Calculator

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

Step-by-Step Example Calculation

Lithium-Ion Cathode Particle Diffusion-Induced Stress (DIS) Calculator Example

Input Values:

youngsModulusGpa:140
poissonsRatio:0.25
partialMolarVolumeCm3PerMol:3.5
concentrationGradientMolPerM3:4500
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required MPa.

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.

\n

Explore more tools and calculators in Physics Calculators