transmission coefficients for p and s waves in hardbego stones the point where the incident ray...
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Tensile Stress Pressure in fluids Tensile stress Reflected P waves focusTRANSCRIPT
![Page 1: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/1.jpg)
Transmission coefficients for P and S waves in HardBego stones
The point where the incident ray reaching the S critique angle hits the interface The point where the incident ray reaching the P critique angle hits the interface
Transmitted P ray
Transmitted S ray
Reflected S ray from P ray
Reflected S ray from S ray
Reflected P ray from P ray
Part 1 transmitted S wave
Part 2 transmitted S wave
Ip: Normal component of the energy flux density vector of the transmitted P waveIs: Normal component of the energy flux density vector of the transmitted S waveIi: Normal component of the energy flux density vector of the incident P wave
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Ray tracing plots in HardBego Stone
Transmitted P wave wavefront
Transmitted S wave wavefront
Reflected P wave wavefront
Reflected S wave wavefront
Transmitted P tensile tail wavefront
All ray/wave front plots only include transmitted P/S rays which are reflected once at the boundary before advancing to the axis, reflected P and S rays induced by transmitted P rays hitting the boundary. FEM simulations show these rays primarily contribute to tensile stress built in.
Transmitted P wave
Reflected P-S wave
Transmitted S wave
Reflected P wave
Reflected S wave
Reflected P-S wave
Reflected P wave
Transmitted tensile tail
![Page 3: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/3.jpg)
Tensile Stress
Pressure in fluids
Tensile stress
Reflected P waves focus
![Page 4: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/4.jpg)
Pressure in Fluids
Tensile stress
Reflected P-S waves focus
Reflected S waves focus
![Page 5: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/5.jpg)
One sensor is placed at (0, 3) mm where the reflected P and S waves focus to detect tensile stress
The other sensor is placed at (0, 2.4) mm where the reflected P-S waves focus to detect tensile stress
c
Reflected P waves focus
Reflected S waves focus
Reflected P-S waves focus
![Page 6: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/6.jpg)
Curl displacement
Pressure In Fluids
Curl Displacement
![Page 7: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/7.jpg)
Pressure In Fluids
Curl Displacement
![Page 8: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/8.jpg)
Div displacement
Pressure in Fluids
Div Displacement
![Page 9: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/9.jpg)
Pressure in Fluids
Div Displacement
![Page 10: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/10.jpg)
Max shear stress
Pressure inFluids
Max Shear stress
![Page 11: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/11.jpg)
Pressure inFluids
Max Shear stress
![Page 12: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/12.jpg)
Contribution from various types of waves
P and part 1 S waves Part 2 S waves P and S waves Head and surface waves
Max tensile stress 24.76 MPa
Max tensile stress 33.64 MPa
Max tensile Stress 58.30 MPa
Max tensile stress 32.3142 MPa (different locations)
![Page 13: Transmission coefficients for P and S waves in HardBego stones The point where the incident ray reaching the S critique angle hits the interface The point](https://reader036.vdocument.in/reader036/viewer/2022070605/5a4d1aee7f8b9ab05997c98e/html5/thumbnails/13.jpg)
Maximum tensile stress in different sizes stones
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Wavefronts when the maximum tensile stress occurs
2 mm 4 mm 6 mm 8 mm
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10 mm 12 mm