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Fig 1.

Schematic showing the residual anchor force monitoring system of the earth anchor using the magnetic-elastic effect.

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Fig 1 Expand

Fig 2.

The magnetic field generated by the solenoid coil.

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Fig 3.

Hysteresis curve.

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Fig 4.

The effect of tensile force in magnetic field.

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Fig 5.

Conceptual diagram of an elasto-magnetic sensor.

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Fig 6.

A magnetic field diagram outside a solenoid.

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Fig 7.

Schematic diagram of mesh setting algorithm.

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Table 1.

Anchor body and sensor head properties for magnetic field analysis.

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Table 1 Expand

Fig 8.

Magnetic field distribution (600[turns]) (a): Magnetic flux density distribution of the anchor head. (b): Magnetic flux density distribution of the wedge.

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Fig 9.

Magnetic field distribution (1000[turns]) (a) Magnetic flux density distribution of the anchor head. (b) Wedge magnetic flux density distribution.

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Fig 10.

Magnetic field distribution analysis results for the cases of coil setup directly installed to individual tension member (full coil direction; counterclockwise) (a) Magnetic field distribution map (X-Z plane, whole). (b) Magnetic field distribution map (X-Z plane, per coil). (c) Wedge magnetization. (d) Anchor head magnetization.

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Fig 11.

Magnetic field distribution analysis results for the cases of coil setup directly installed to individual tension member (left side coil direction; counterclockwise, right side coil direction; clockwise) (a) Magnetic field distribution map (X-Z plane, whole). (b) Magnetic field distribution map (X-Z plane, per coil). (c) Wedge magnetization. (d) Anchor head magnetization.

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Fig 12.

Elasto-magnetic sensor manufacturing (a) Elasto-magnetic sensor head. (b) Additional magnetization coil for the magnetization of the wedge.

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Fig 12 Expand

Fig 13.

Installation of load control and measuring devices used in the test.

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Fig 14.

Elasto-magnetic sensor installation view.

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Fig 15.

Changes in the hysteresis curve area when tension is unloaded (a) B-H curve (b) Raw area. (c) Normalized area.

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Fig 16.

Temperature graph by test load step (a) Test 1. (b) Test 3. (c) Test 4. (d) Test 5.

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Table 2.

Temperature by test load step.

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Table 2 Expand

Fig 17.

Comparison of B-H curve area and temperature change by test load step (amplitude is normalized) (a) Test 1. (b) Test 3. (c) Test 4. (d) Test 5.

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Fig 17 Expand

Table 3.

The correlation coefficient between area and the temperature of B-H curve.

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Table 3 Expand

Fig 18.

Linear regression results (a) Test 1. (b) Test 2. (c) Test 3. (d) Test 4. (e) Test 5.

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Table 4.

The correlation coefficient between area and the temperature of B-H curve.

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Table 4 Expand

Fig 19.

Validation results of residual tensile force estimation.

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Table 5.

Validation results of tensile force estimation for Test 4 and 5.

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