Additive Engineering

Metal AM Scan Strategy-Induced Thermal Gradient Anisotropy Index Calculator

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Quick Answer

Calculate Metal AM Scan Strategy-Induced Thermal Gradient Anisotropy Index

Calculator

Thermal gradient anisotropy index (dimensionless)
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Result Interpretation

Metal AM Scan Strategy-Induced Thermal Gradient Anisotropy Index Calculator computes Thermal gradient anisotropy index in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Numerical stabilization constant = 1
  • Thermal gradient in x-direction = 1600000
  • Thermal gradient in y-direction = 1300000
  • Thermal gradient in z-direction = 750000

Expected Result:

  • Thermal gradient anisotropy index = 0.46207223428318

Engineering Interpretation:

Under the given input conditions, the calculated result is: Thermal gradient anisotropy index = 0.46207223428318 dimensionless.

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

thermal gradient anisotropy index = sqrt(pow((thermal gradient in x-direction - thermal gradient in y-direction) / (thermal gradient in x-direction + thermal gradient in y-direction + numerical stabilization constant), 2) + pow((thermal gradient in y-direction - thermal gradient in z-direction) / (thermal gradient in y-direction + thermal gradient in z-direction + numerical stabilization constant), 2) + pow((thermal gradient in z-direction - thermal gradient in x-direction) / (thermal gradient in z-direction + thermal gradient in x-direction + numerical stabilization constant), 2))

Formula family: formula_additive_metal_am_scan_strategy_induced_thermal_gradient_anisotropy_index_calculator

Variables

SymbolLabelRoleDescription
dT_dx Thermal gradient in x-direction INPUT Thermal gradient in x-direction
dT_dy Thermal gradient in y-direction INPUT Thermal gradient in y-direction
dT_dz Thermal gradient in z-direction INPUT Thermal gradient in z-direction
eps Numerical stabilization constant INPUT Numerical stabilization constant
thermal_gradient_anisotropy_index Thermal gradient anisotropy index OUTPUT Thermal gradient anisotropy index

Calculation Steps

  1. Enter the thermal gradient in x-direction in K/m.
  2. Enter the thermal gradient in y-direction in K/m.
  3. Enter the thermal gradient in z-direction in K/m.
  4. Enter the numerical stabilization constant in K/m.
  5. Step 1: Compute thermal gradient anisotropy index.
  6. Read the thermal gradient anisotropy index (dimensionless) from the results.

Engineering Summary

Calculate Metal AM Scan Strategy-Induced Thermal Gradient Anisotropy Index

Frequently Asked Questions

What does this calculator calculate?

The Metal AM Scan Strategy-Induced Thermal Gradient Anisotropy Index Calculator estimates Thermal gradient anisotropy index based on the input parameters you provide

Why is thermal gradient in x-direction important in this calculation?

thermal gradient in x-direction is directly proportional to thermal gradient anisotropy index. When you enter thermal gradient in x-direction in K/m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result thermal gradient anisotropy index?

The calculator outputs thermal gradient anisotropy index in dimensionless. 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: Thermal gradient in x-direction (K/m), Thermal gradient in y-direction (K/m), Thermal gradient in z-direction (K/m), Numerical stabilization constant (K/m). 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

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