Interfacial Thermal Stress Estimator for Bonded Material Interfaces calculator

Quick Answer

Calculate Interfacial Thermal Stress Estimator for Bonded Material Interfaces

Result Interpretation

Interfacial Thermal Stress Estimator for Bonded Material Interfaces calculator computes Interfacial Thermal Stress in Pa using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Film Young's Modulus = 70000000000
Final Temperature = 373.15
Initial Temperature = 293.15
Film Coefficient of Thermal Expansion = 2.3E-5
Substrate Young's Modulus = 200000000000
Substrate Coefficient of Thermal Expansion = 1.2E-5

Expected Result:

Interfacial Thermal Stress = 63200000

Engineering Interpretation:

Under the given input conditions, the calculated result is: Interfacial Thermal Stress = 63200000 Pa.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

interfacial thermal stress = film young's modulus * film coefficient of thermal expansion * (initial temperature - final temperature) - substrate young's modulus * substrate coefficient of thermal expansion * (initial temperature - final temperature)

Formula family: formula_materials_thermal_expansion_mismatch_stress_estimator

Variables

Symbol	Label	Role	Description
E_film	Film Young's Modulus	INPUT	Film Young's Modulus
E_substrate	Substrate Young's Modulus	INPUT	Substrate Young's Modulus
alpha_film	Film Coefficient of Thermal Expansion	INPUT	Film Coefficient of Thermal Expansion
alpha_substrate	Substrate Coefficient of Thermal Expansion	INPUT	Substrate Coefficient of Thermal Expansion
T_initial	Initial Temperature	INPUT	Initial Temperature
T_final	Final Temperature	INPUT	Final Temperature
interfacial_thermal_stress	Interfacial Thermal Stress	OUTPUT	Interfacial Thermal Stress

Calculation Steps

Enter the film young's modulus in Pa.
Enter the substrate young's modulus in Pa.
Enter the film coefficient of thermal expansion in 1/K.
Enter the substrate coefficient of thermal expansion in 1/K.
Enter the initial temperature in K.
Enter the final temperature in K.
Step 1: Compute interfacial thermal stress.
Read the interfacial thermal stress (Pa) from the results.

Engineering Summary

Calculate Interfacial Thermal Stress Estimator for Bonded Material Interfaces

Frequently Asked Questions

What does this calculator calculate?

The Interfacial Thermal Stress Estimator for Bonded Material Interfaces calculator estimates Interfacial Thermal Stress based on the input parameters you provide

Why is film young's modulus important in this calculation?

film young's modulus is directly proportional to interfacial thermal stress. When you enter film young's modulus in Pa, the calculator uses it in the engineering formula to compute the output

How should I interpret the result interfacial thermal stress?

The calculator outputs interfacial thermal stress in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Film Young's Modulus (Pa), Substrate Young's Modulus (Pa), Film Coefficient of Thermal Expansion (1/K), Substrate Coefficient of Thermal Expansion (1/K), Initial Temperature (K), Final Temperature (K). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment