On the consolidation behaviour of fine-grained soils under ...

5
On the consolidation behaviour of fine-grained soils under cyclic loading DISSERTATION zur Erlangung des akademischen Grades Doktor-Ingenieur (Dr .-Ing.) an der Fakultät für Bau- und U mweltingenieurwissenschafteu der Ruhr- Un ivers it ät Bochum vorgelegt von Nina Silvia Müthing geboren am 14. Februar 1987 in Essen Ha.11ptherichter: Univ. Prof. Dr.-lng. h ab il. Tom Sduu1z l\:fit.hcrichter: Prof. Dr. Maria Datch cva. l\Iithcrichter: Chaucellor 's Professor Kenichi Soga, PhD FREng FICE l\IitlJf'riditer: Univ. Prof. Dr.-lng. h ab il. T heod oros Triantafyllidis Bochum, November 20 17

Transcript of On the consolidation behaviour of fine-grained soils under ...

On the consolidation behaviour of fine-grained soils under cyclic loading

DISSERTATION

zur Erlangung des akademischen Grades

Doktor-Ingenieur (Dr .-Ing.)

an der

Fakultät für Bau- und U mweltingenieurwissenschafteu

der Ruhr-Universität Bochum

vorgelegt von

Nina Silvia Müthing

geboren am 14. Februar 1987 in Essen

Ha.11ptherichter: Univ. Prof. Dr.-lng. habil. Tom Sduu1z

l\:fit.hcrichter: Prof. Dr. Maria Datchcva.

l\Iithcrichter: Chaucellor's Professor Kenichi Soga, PhD FREng FICE

l\IitlJf'riditer: Univ. Prof. Dr.-lng. habil. T heodoros Triantafyllidis

Bochum, November 2017

Contents

1 lntroduction

1.1 Motivation .

1.2 Objectives .

1.3 Layout of the thesis .

2 Compressibility and permeability of fine-grained soils

2.1 Soil structure ...

2.1.1 Clay fabric.

2.1.2 Methods for clay fabric investigat ion

2.1.3 States of clay structure ....

2.2 One-dimensional compression of soils

2.2.1 Laboratory determination . .

2.2.2 Primary compression of fine-grained soils

2.2.3 Primary compression of natural, structured clay

2.2.4 Barotropy and pycnotropy

2.2.5 Historiotropy .....

2.2.6 Secondary compression

2.2. 7 Rate dependency . . .

2.2.8 Temperature dependency .

2.2.9 Development of horizontal stress .

2.3 Permeability of fine-grained soils .

2.3.1 Darcy's law ....... .

2.3.2 Permeability of soils . . .

2.3.3 Hydraulic permeability of clays

2.3.4 Laboratory measurement .

2.3.5 Anisotropy .

2.4 Summary . . . . .

IX

1

1

3

3

5

5

5

6

7

9

10

11

12

16

17

18

20

22

22

24

24

25

26

27

30

30

X

3 Consolidation of fine-grained soils

3.1 Introduction ....... .

3.2 Principle of effective stress

3.3 One-dimensional, linear consolidation theory

3.3.l General theory of consolidation - Biot model

3.3.2 Hybrid model . . . . . . . . . . . . . . . . .

3.3.3 Terzaghi model . . . . . . . . . . . . . . . .

3.4 Analytical solution for one-dimensional, linear consolidation

3.4.1 Initial and boundary conditions

3.4.2 Pore water pressure u . .. .

3.4.3 Settlement s ..... ... .

3.4.4 Degree of consolidation Um .

3.4.5 Dimensionless consolidation time Tv .

3.4.6 Coefficient of consolidation Cv . . . .

3.5 Multi-dimensional and non-linear consolidation

3.5.1 Multi-dimensional consolidation ..

3.5.2 Non-linear constitutive approaches

3.5.3 Further enhancements in consolidation theory

3.6 Summary . . . . . . . . . . . . . . . . . . . . . . . .

Contents

31

31

31

32

32

34

34

35

35

36

38

39 40

40

43

44

44

45

46

4 Consolidation under cyclic loading 47

4.1 Mathematical approaches in literature . . . . . . . . . . . . . . . . . . . . 47

4.2 Analytical solution for consolidation under cyclic loading of haversine form 48

4.2.1 Pore water pressure u . ..

4.2.2 Settlement s . . . . . . . .

4.3 Experimental studies in literature

4.4 Summary ............ .

5 Oedometer device

5.1 Introduction ..

5.2 Design and construction

5.2.1

5.2.2

5.2.3

General construction

Vertical stress and deformation measurement .

Oedometer ring and radial stress measurement .

5.2.4 Drainage system and pore pressure measurement

5.3 Calibration ......... .

5.3.1 Calibration with steel .

50

54

58

61

63

63

64

64

66

68

73

77

77

Contents

5.3.2 Calibration with water

5.3.3 Calibration with clay

5.4 Summary . . . . . .

6 Materialsand methods

6.1 Materials

6.1.1 General

6.1.2 Spergau kaolin clay

6.1.3 Ons0y clay .....

6.1.4 Summary of material properties of studied clays

6.2 Experimental p:i;ogramme . . . . . .

6.2.l Monotonie oedometer tests .

6.2.2 Cyclic oedometer tests ...

6.3 Sample preparation and testing procedure

6.3.1 Soil material preparation .

6.3.2 Sample installation ..

6.3.3 Installation procedure

6.4 Summary . . . . . . . . . . .

7 Experimental study on consolidation under monotonic loading

7.1 Deformation behaviour ................. .

7 .1.1 General one-dimensional compression behaviour

7.1.2 Friction ....... . . .

7 .1.3 Consolidation settlements

7.1.4 Coefficient of consolidation Cv

7 .1.5 Development of stiffness and permeability

7.1.6 Secondary compression ..

7.2 Pore water pressure dissipation

7.3 Comparison to analytical solution

7.4 Development of radial stress

7.5 Summary . . . . . . . . . .

8 Experimental study on cyclic consolidation

8.1 Introduction .

8.2 Friction . . .

8.3 Cyclic deformation behaviour

8.3.1 General ....... .

xi

78

82

83

85

85

85

85

95

101

102

102

103

108

108

109

110

112

117

117

117

120

123

126

128

131

132

138

140

143

147

147

148

149

149

xii

8.3.2

8.3.3

8.3.4

8.3.5

8.3.6

8.3.7

Final mean deformation e55 • •

Rate of consolidation . . . . .

Amplitude of deformation ~e

Development of equivalent stiffness Es Permeability from cyclic Cv and equivalent stiffness

Deformation in the stationary state . . . . . . . . .

8.4 Cyclic pore water pressure dissipation .. . . . .. .. .. .

Contents

152 ,

153

157

159

162

162

163

8.4.1 Maximum pore water pressure and rate of pore water pressure dis-

sipation . . . . . . . . . . . 165

8.4.2 Pore pressure amplitude ~u 167

8.5 Cyclic stress-strain behaviour . . 169

8.6 Comparison to analytical solution 170

8. 7 N umerical modelling . . . . . . . 175

8. 7.1 Verification of the analytical solution by linear-elastic FEA 175

8.7.2 Numerical analysis using hierarchical, constitutive models . 176

8.7.3 Conclusions .....

8.8 Development of radial stress

8.9 Summary and discussion ..

181

181

182

9 Phase shift in cyclic consolidation 187

187

188

189

190

190

191

193

195

195

196

198

9.1 Introduction .......... .

9.2 Analytical solution from consolidation equation

9.3 State of the art - Phase shift in conduction phenomena

9.4 Experimental analysis . . ......... .

9.4.1 Phase shift of deformation '!/Je ... . 9.4.2 Phase shift of pore water pressure 'l/Ju 9.4.3 Comparison t0 analytical solution . .

9.5 Testing concept: from phase shift to material characteristics

9.5.1 Motivation . . . ... ..... ... ... .

9.5.2 Suggested concept and validation strategy

9.6 Summary ...... .

10 Summary and conclusions

10.1 Conclusions . . . . . .

10.2 Recommendations for further studies

References

199

199

202

202