Ultrasonic Testing Formulas - Scanstar Inspection … TESTING FORMULAS.pdf · Scanstar Inspection...

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Scanstar Inspection Technology Private Limited Ultrasonic Testing Formulas Longitudinal Wave Velocity Longitudinal Wave Velocity Longitudinal Wave Velocity Longitudinal Wave Velocity Where: V L = Longitudinal Wave Velocity E = Modulus of Elasticity ρ = Density μ = Poisson's Ratio Shear Wave Velocity Shear Wave Velocity Shear Wave Velocity Shear Wave Velocity Where: V s = Shear Wave Velocity E = Modulus of Elasticity ρ = Density μ = Poisson's Ratio G = Shear Modulus Wavelength Wavelength Wavelength Wavelength Where: λ = Wavelength V = Velocity F = Frequency

Transcript of Ultrasonic Testing Formulas - Scanstar Inspection … TESTING FORMULAS.pdf · Scanstar Inspection...

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Ultrasonic Testing Formulas

Longitudinal Wave VelocityLongitudinal Wave VelocityLongitudinal Wave VelocityLongitudinal Wave Velocity

Where:

VL = Longitudinal Wave Velocity

E = Modulus of Elasticity ρ = Density

µ = Poisson's Ratio

Shear Wave VelocityShear Wave VelocityShear Wave VelocityShear Wave Velocity

Where:

Vs = Shear Wave Velocity E = Modulus of Elasticity ρ = Density

µ = Poisson's Ratio G = Shear Modulus

WavelengthWavelengthWavelengthWavelength

Where:

λ = Wavelength V = Velocity F = Frequency

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RefractionRefractionRefractionRefraction (Snell's (Snell's (Snell's (Snell's Law)Law)Law)Law)

Where:

θΙ = Angle of the Incident Wave

θR = Angle of the Reflected Wave

V1 = Velocity of Incident Wave

V2 = Velocity of Reflected Wave

Acoustic ImpedanceAcoustic ImpedanceAcoustic ImpedanceAcoustic Impedance

Where:

Z = Acoustic Impedance ρ = Density V = Velocity

Reflection CoefficientReflection CoefficientReflection CoefficientReflection Coefficient

Where:

R = Reflection Coefficient

Z1 = Acoustic Impedance of Medium 1

Z2 = Acoustic Impedance of Medium 2

Near FieldNear FieldNear FieldNear Field

Where:

N = Near Field

D = Transducer Diameter λ = Wavelength V = Velocity

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Beam SpreadBeam SpreadBeam SpreadBeam Spread Half AngleHalf AngleHalf AngleHalf Angle

Where:

λ = Wavelength D = Transducer Diameter V = Velocity F = Frequency

Decibel (dB)Decibel (dB)Decibel (dB)Decibel (dB) Gain or LossGain or LossGain or LossGain or Loss

Where:

dB = Decibel P1 = Presure Amplitude 1

P2 = Presure Amplitude 2

Angle Beam Probe CalculationsAngle Beam Probe CalculationsAngle Beam Probe CalculationsAngle Beam Probe Calculations

T

1

2 BP

1

2 BP

1

2 BP

SK IP D ISTANCE

1

2 SK IP D ISTANCE

1/2 Skip Distance – T x Tan θ

Skip Distance – 2T x Tan θ

1/2 Beam Path – T/ Cos θ

Beam Path – 2T/ Cos θ

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Surface Distance – Beam Path X Sin θ

Half Skip Depth - Beam Path X Cos θ

Skip Depth – { 2T – (Beam Path X Cos θ)}

Where:

T – Thickness of the Job.

Θ – Angle of the Probe.

BP – Beam Path.