geo-e2010 advanced soil mechanics d

79
03 March 2021 Geo-E2010 Advanced Soil Mechanics D Wojciech Sołowski

Upload: others

Post on 06-Dec-2021

6 views

Category:

Documents


1 download

TRANSCRIPT

Page 1: Geo-E2010 Advanced Soil Mechanics D

03 March 2021

Geo-E2010 Advanced Soil Mechanics D

Wojciech Sołowski

Page 2: Geo-E2010 Advanced Soil Mechanics D

About the course

Department of Civil Engineering

2

1. Lectures : 1/2 of the final grade

1. Either graded based on partial exams, or based on online

quizzes and essays

2. Q&A sessions – we can set dates if we decide to use

partial exam for assessment

2. Laboratory : 1/6 of the final grade

3. Exercises: 1/6 of the final grade (attendance compulsory)

4. Design project: 1/6 of the final grade5. Tutorials: aim of those is to help you with the more challenging

lecture materials (mainly constitutive modelling)

6. Each part (lectures, laboratory, exercises, project) must be passed

Advanced Soil Mechanics W. Sołowski

Final % calculated as: (3*lectures+lab+ex+project)/6grades: 1: 50-60%, 2: 60-70%, 3: 70-80%, 4:80-90%, 5: 90-100%

Extra materials / journal papers are mainly intended for the PhD students

Page 3: Geo-E2010 Advanced Soil Mechanics D

About the course

Department of Civil Engineering

3

Lectures: 50% of the final mark

Option 1: grade based on 3 partial exams during the lectures

Completing non-obligatory MyCourses quizzes will give you some %

towards passing the exam.

- test dates are in the timetable, but they can be moved if needed

Option 2: grade based on quizzes in MyCourses and essays

- essay typically around 2000-2500 words (5-7 pages)

- will be checked with Turn it In system for originality

Advanced Soil Mechanics W. Sołowski

Any comments ?

Page 4: Geo-E2010 Advanced Soil Mechanics D

About the course

Department of Civil Engineering

4

Lectures: 50% of the final mark

If you choose essay, typical subject will be similarly structure as the

one from Finite Element Method course:

Advanced Soil Mechanics W. Sołowski

Any comments ?

Essay subject: Finite Element Method algorithm for nonlinear materialsThe essay should be 4-7 pages long, Arial 12 or similar font, figures included in the page count.Essential parts of the essay:1.Introduction (what is Finite Element method, what kind of problems we can solve with FEM, what is nonlinear material, approximately 0,5-1 page)2.Finite Element algorithm for nonlinear materials – points and short description, possibly few equations, explanation where in the algorithm the Newton Raphson method is used and reference to the next section (1-2 pages)3.Explanation of Newton – Raphson method – in depth explanation of subsequent actions taken and how those are performed, some equations, figure (1-2 pages)4.Possible errors in non-linear analysis on an example. Discuss errors in the analysis related to calculation of settlements of a foundation and limit load of a foundation (alternative – settlements of embankment and limit load leading to loss of stability of an embankment) (1.5 – 3 pages).5.Conclusions (short)If needed, you can include references, those do not count towards page limit

Page 5: Geo-E2010 Advanced Soil Mechanics D

About the course - communication with teachers

Department of Civil Engineering

5

Forums:

- direct communication channel with the teachers

- dedicated forums for different parts of the course

- forums should be used for almost all the out-of-hours

questions you may have about course material, exercises and

lectures

Classes:

The main role of all the classes is a direct communication and

discussion. You are encouraged to ask questions!

- lectures, exercises and tutorials exist mainly so you can ask

questions - otherwise we can just distribute the materials to you!

- only sensitive questions (e.g. revealing personal information,

such as e.g. health related issues) should be asked over email.

Advanced Soil Mechanics W. Sołowski

Page 6: Geo-E2010 Advanced Soil Mechanics D

About the course: feedback channels

Department of Civil Engineering

6

How would you like to have feedback organized?

Suggestion:

- let’s choose representatives who would give me

regular anonymous feedback from the whole group

- especially important if something needs to be

changed quickly

- email would work great for that – I will reply to the

whole group on the forum, possibly discuss the issue(s) during

lectures

- feedback representatives will be invited for a chat over a coffee

around the end of the course (covid situation permitting)

Advanced Soil Mechanics W. Sołowski

Page 7: Geo-E2010 Advanced Soil Mechanics D

Workload research

Department of Civil Engineering

7

If you want, we can continue with the workload research.

Workload Google spreadsheet

- anonymous (select nickname , decoding list in a sealed envelope)

- please indicate ONLY work outside of class (classes are counted

separately)

- the aim is to assess self-work time, as well as schedule the

courses so the workload is divided more evenly through the

course

- students well-being is at the centre of Aalto University

Advanced Soil Mechanics W. Sołowski

Page 8: Geo-E2010 Advanced Soil Mechanics D

Course books

Department of Civil Engineering

8

Unfortunately, no single book covers everything we talk about, but Mitchell &

Soga ‘Fundamentals of soil behaviour’ is a good start

while book like ‘Soil behaviour and critical state soil mechanics’ by David

Muir Wood covers the more advanced parts of the course.

Both books contain material the course is not covering, and are suggested

extra reading for doctoral level students. The books are not necessary to

pass the exams – the lectures will give the information needed.

Finally, the single book which almost cover the whole course is

‘Geotechnical engineering : unsaturated and saturated soils’ by J-L Briaud,

but even ‘Smith's elements of soil mechanics’ by I. Smith will be useful,

especially for the applied/ design subjects.

More books in the materials section of MyCourses

Advanced Soil Mechanics W. Sołowski

Page 9: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

9

SOIL MICROSTRUCTURE

Advanced Soil Mechanics W. Sołowski

Page 10: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

10

Advanced Soil Mechanics W. Sołowski

So... todayClay:

- microstructure

- clay behaviour and how it is influenced by microstructure

- influence of chemical additives in pore fluid on microstructure

(in this lecture – only NaCl)

- sensitive clays

- influence of unsaturation

- anisotropy & cyclic loading

- small strain

Page 11: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

11

Advanced Soil Mechanics W. Sołowski

To learn:

Clay:

- what is clay microstructure?

- how it qualitatively changes during loading?

- how clay behaves under loading?

- how chemicals influence microstructure?

- what is the microstructure of sensitive clays?

- what is the influence of unsaturation on clay behaviour and

clay microstructure?

- how clay behaves when anisotropic?

- how clay behaves under cyclic loading?

- what is clay behaviour at small vs large strain?

Page 12: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

12

Advanced Soil Mechanics. W. Sołowski

Clay microstructure

Mitchell & Soga 2005

Page 13: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

13

Advanced Soil Mechanics. W. Sołowski

Clay microstructure

Van Olphen 1977

Page 14: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

14

Advanced Soil Mechanics. W. Sołowski

Clay microstructure: NaCl influence

Dolinar & Tranuner 2007

Page 15: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

15

Advanced Soil Mechanics. W. Sołowski

Clay behaviour

Mitchell & Soga 2005

Page 16: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

16

Advanced Soil Mechanics. W. Sołowski

Clay behaviour

Mitchell & Soga 2005

1. Under a given effective consolidation

pressure, a soil with a flocculated fabric is less

dense than the same soil with a deflocculated

structure.

2. At the same void ratio, a flocculated soil

with randomly oriented particles and particle

groups is more rigid than a deflocculated soil.

3. Once the maximum precompression stress

has been reached, a further increment of

pressure causes a greater change in fabric of a

flocculated soil structure than in a

deflocculated soil structure.

4. The average pore diameter and range of

pore sizes is smaller in deflocculated and/or

destructured soils than in flocculated and/or

undisturbed soils.

Page 17: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

17

Advanced Soil Mechanics. W. Sołowski

Clay behaviour

Mitchell & Soga 2005

5. Shear displacements usually

orient platy particles

and particle groups with their

long axes parallel to the

direction of shear.

6. Anisotropic consolidation

stresses tend to align platy

particles and particle groups

with their long axes in the major

principal plane.

Page 18: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

18

Advanced Soil Mechanics. W. Sołowski

Clay behaviour

Mitchell & Soga 2005

Glacial till

7. Stresses are usually not distributed

equally among all particles and particle

groups. Some particles and particle groups

may be essentially stress free as a result of

arching by surrounding

fabric elements

8. Two samples of a soil without

cementation can have a different structure

at the same void ratio - effective stress

coordinates if they have different stress

histories. The stress–deformation properties

of the two samples will differ.

The overconsolidation ratio (OCR), defined

as theratio of the maximum past

consolidation effective

stress to the present overburden effective

stress is a good measure of stress history.

Page 19: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

19

Advanced Soil Mechanics. W. Sołowski

Clay behaviour

Mitchell & Soga 2005

9. Volume change tendencies

determine pore pressure

development during

undrained deformation.

10. Changes in structure of

a saturated soil at constant

volume are accompanied

by changes in effective

stress. These effective

stress changes are

immediate.

11. Changes in structure of

a saturated soil at constant

effective stress are

accompanied by changes

in void ratio. The change in

void ratio is not immediate

but depends on the time

for water to drain from or

enter the soil.

Page 20: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

20

Advanced Soil Mechanics. W. Sołowski

Clay behaviour

Calculate ultimate e and p’ when quick / slow shearing starts at point A / B

ln p’

e

slope l=0.3

2.0

p’=10 kPa

A(1.3,30)

B(1.8,300)

e = 2.0 – lln(p’/10)

Page 21: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

21

Advanced Soil Mechanics. W. Sołowski

Clay behaviour: slow (drained) shear

Calculate ultimate e and p’ when quick / slow shearing starts at point A / B

ln p’

e

slope l=0.3

2.0

p’=10 kPa

A(1.3,30)

B(1.8,300)

e = 2.0 – lln(p’/10)

Page 22: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

22

Advanced Soil Mechanics. W. Sołowski

Clay behaviour: quick shear

Calculate ultimate e and p’ when quick / slow shearing starts at point A / B

ln p’

e

slope l=0.3

2.0

p’=10 kPa

A(1.3,30)

B(1.8,300)

e = 2.0 – lln(p’/10)

Page 23: Geo-E2010 Advanced Soil Mechanics D

23

Quick clays

After Mitchell & Soga 2005, clay

sensitive to remoulding

Leda clay, Tovey 1971

Page 24: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

24

Advanced Soil Mechanics. W. Sołowski

Sensitive clay behaviour – salt content

Bjerrum 1954

Page 25: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

25

Advanced Soil Mechanics. W. Sołowski

Sensitive clay: time

Bjerrum 1954Lessard, 1978

Page 26: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

26

Advanced Soil Mechanics. W. Sołowski

Unsaturated soils

Soil grains tend to

get grouped

together because

of the capillary

pull forces:

Lourenço 2008

Page 27: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

27

Advanced Soil Mechanics. W. Sołowski

Let’s look into more details

Soil:

- Soil skeleton

- Bulk water

- Meniscus water

- Air

(+ in fine grained soil, we

have absorbed layers of

water associated with

the clay platelets)

Wheeler & Karube 1995

Page 28: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

28

Advanced Soil Mechanics. W. Sołowski

Real soil particles are not spheres…

High suction (Monroy 2005)

… but still aggregate together when dried

Page 29: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

29

Advanced Soil Mechanics. W. Sołowski

Real soil particles are not spheres…

High suction (Monroy 2005) Suction 40 kPa (Monroy 2005)

… but still aggregate together when dried

Page 30: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

30

Advanced Soil Mechanics. W. Sołowski

However, when fully wetted…

reconsitituted soil (Monroy 2005),

(sample mta-10)

fully hydrated soil (Monroy 2005)

(sample mta-2)

… the aggregates tend to disappear (until drying)

Page 31: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

31

Advanced Soil Mechanics. W. Sołowski

Macro: higher suction, stronger soil…

silt, Vasallo Mancuso Vinale 2007

Page 32: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

32

Advanced Soil Mechanics. W. Sołowski

Microstructural changes during collapse

- dried, clay particles create

aggregates.

- aggregates fully wet inside,

- significant strength increase

at high suctions

- soil can sustain higher load.

- when wetted suction

decreases, the aggregates

become weaker

- soil structure start filling the

intra-aggregate voids…

… and we have collapse Figures © Monroy 2005

Page 33: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

33

Advanced Soil Mechanics. W. Sołowski

Link between suction and water content…

Tarantino 2007

Page 34: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

34

Advanced Soil Mechanics. W. Sołowski

Why hysteresis?

Gallipoli 2006

- bottleneck effect: while

drying reaching some

bigger pores may require

drying small bottleneck pore

- while wetting, the bigger

pores generally will fill first

(though some air bubbles

may left in the soil

- Drying and wetting does

change soil microstructure,

therefore the wetting –

drying paths will also differ

- There is significant

influence of stress level on

water retention behaviour

(hydro-mechanical coupling)

Page 35: Geo-E2010 Advanced Soil Mechanics D

Winter times – freeze thaw cycles!

- freezing is complex!

- water – ice interface similar to

water – air interface

- especially important in

permafrost areas

- some water does not freeze

Williams 1964 (after Gens 2010)

Gens 2010

Page 36: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

36

Advanced Soil Mechanics. W. Sołowski

Anisotropy…

Now it is becoming well

agreed that unsaturated

soils are mostly

anisotropic…

Especially when samples

prepared with one-

dimensional compaction

when one direction is clearly

privileged

Cui & Delage 1996

Page 37: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

37

Advanced Soil Mechanics W. Sołowski

Simplified summary: clayHow clay microstructure qualitatively changes during loading?

- increase of mean effective stress leads to denser

microstructure

How clay behave under loading?

- slides 13-17

How NaCl influences microstructure and soil behaviour?

- the clay platelets tend to come together and form

aggregates more easily (slide 12)

What is the microstructure of sensitive clays?

- it is very loose and unstable, created during sedimentation,

often held together by some forces related to salt content (slides 18-20)

Page 38: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

38

Advanced Soil Mechanics W. Sołowski

Simplified summary: clayWhat is the influence of unsaturation on clay behaviour and

clay microstructure?

- the more unsaturated the clay is, the stronger it is

- microstructure becomes denser and stronger, see 21 - 29

How clay behaves when anisotropic?

It is elastic for longer when the stress state corresponds to the

anisotropic stress in situ. When sheared / stress changes, the

anisotropy of the material evolve. More in lecture 12.

How clay behaves under cyclic loading?

- the deformations increase the more cycles there are

- the larger the stress in the cycles, the quicker the

deformations increase, till failure

What is clay behaviour at small vs large strain?

- at small strain clay is significantly stiffer and deform less than

at larger strains

Page 39: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

39

Advanced Soil Mechanics W. Sołowski

Questions?Underwater landslides tend to be the biggest landslides

observed, often taking kilometers in length and outreach.

Discuss the processes in the landslide, in particular,

generation of pore pressure. Are those processes likely to

lead to larger landslides?

Dynamic compaction soil improvement method is relying on

compaction due to repeatably falling weight on soil. Discuss

the processes in clay and explain why dynamic compation is

usually not effective for clay materials.

In winter we can easily walk on any soil. However, when the

clay thaws, it turns into a very soft mud and we avoid

stepping on it. Explain why.

Page 40: Geo-E2010 Advanced Soil Mechanics D

03 March 2021

Geo-E2010 Advanced Soil Mechanics L

Wojciech Sołowski

Page 41: Geo-E2010 Advanced Soil Mechanics D

Lecture 2. Sand behaviour

Page 42: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

42

Advanced Soil Mechanics W. Sołowski

So... todaySand:

- microstructure & forces in granular materials

- unsaturated soils

- role of particle shape

- influence of silty / clay additions

- density and shear behaviour

- small strain

- liquefaction

- cyclic loading

- introduction to critical state soli mechanics

Page 43: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

43

Advanced Soil Mechanics W. Sołowski

To learn:

Sand:

- what is sand microstructure like?

- what is the influence of unsaturation?

- what is the influence of silty / clay additions on sand

behaviour?

- how sand behaves when the strain is small

- how it behaves when the strains are larger?

- when sand can liquefy? Why?

- how granular materials behave under cyclic loading?

- what is the critical state?

- how the soil behaves during rapid shearing?

- how it behaves at slow (drained) shearing?

- how the density of the soil influences that behaviour

Page 44: Geo-E2010 Advanced Soil Mechanics D

Department of Civil and Environmental Engineering

44

W. Sołowski

Soil microstructure

Page 45: Geo-E2010 Advanced Soil Mechanics D

Department of Civil and Environmental Engineering

45

W. Sołowski

Soil microstructure: skeletal forces

Santamarina 2005

soil:

coarse

(e.g. sand)

stress concentration

will lead to accelerated

point erosion / cracks,

erosion will lead to

particle rearrangement

and creep behaviour

(that is increase of

deformations without

changes in load)

- issue in railways

Page 46: Geo-E2010 Advanced Soil Mechanics D

Department of Civil and Environmental Engineering

46

W. Sołowski

Soil microstructure: skeletal forces

Mitchell & Soga 2005

soil: fine

(e.g. clay)

Santamarina 2005

...can be very

important...

Page 47: Geo-E2010 Advanced Soil Mechanics D

Department of Civil and Environmental Engineering

47

W. Sołowski

soil

If we have air – soil is unsaturated

(partially saturated)

- leads to a more complex theory

- currently unfrequently used in practice

We usually assume that soil is fully saturated or dry – it is

a generally safe assumption leading to much simplification

Soil microstructure

Page 48: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

48

Advanced Soil Mechanics. W. Sołowski

Let’s look into more details

Soil:

- Soil skeleton

- Bulk water

- Meniscus water

- Air

(+ in fine grained soil,

we have absorbed

layers of water

associated with the

clay platelets)

Wheeler & Karube 1995

Page 49: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

49

Advanced Soil Mechanics. W. Sołowski

Unsaturated soils

Soil grains tend to

get grouped

together because

of the capillary

pull forces:

Lourenço 2008

Page 50: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

50

Advanced Soil Mechanics. W. Sołowski

Unsaturated soils

Soil grains tend to

get grouped

together because

of the capillary

pull forces:

Page 51: Geo-E2010 Advanced Soil Mechanics D

Winter times – freeze thaw cycles!

- freezing is complex!

- water – ice interface similar to

water – air interface

- especially important in

permafrost areas

- some water does not freeze

Williams 1964 (after Gens 2010)

Gens 2010

Page 52: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

52

Advanced Soil Mechanics W. Sołowski

Summary (1)

1. Grains in granular material are big, compared to e.g. clays

2. Force chains are present, inter-granular stress much higher than

average stress. Skeletal and self-weight dominant.

• may lead to damage, cracking, breakage at the contact

3. The electrical forces are less important in granular materials, may

be dominant in clays.

4. Capillary forces may be somewhat important in finer materials

5. Capillary forces – perhaps surprisingly – play a significant role

during soil freezing

Page 53: Geo-E2010 Advanced Soil Mechanics D

Role of shape

Page 54: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

54

Advanced Soil Mechanics. W. Sołowski

Granular material: role of particle shape

Extremes:

- glass bead

- glass cube with puzzle-like locks

sands / gravels usually

somewhere in between

Page 55: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

55

Advanced Soil Mechanics. W. Sołowski

Granular material: role of particle shape

Round particles – lower shear

strength, difficult to construct

anything

Edgy particles – higher shear

strength, can be used in

construction

Friction angle gives macroscopically – among others

– information on particle shape.

More edgy particles, should lead to a higher friction

angle, rounder particles – to a lower friction angle and

lower strength

Cheng NS. (2018)

Page 56: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

56

Advanced Soil Mechanics. W. Sołowski

Role of particle shape

Wei & Yang 2014

Page 57: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

57

Advanced Soil Mechanics. W. Sołowski

Role of particle shape

Wei & Yang 2014

clearly particle

shape is

important

Page 58: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

58

Advanced Soil Mechanics. W. Sołowski

Microstructure influence

Wei & Yang 2014

Page 59: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

59

Advanced Soil Mechanics. W. SołowskiWei & Yang 2014

Role of particle shape

clearly particle

shape is

important

Page 60: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

60

Advanced Soil Mechanics W. Sołowski

Summary (2)

1. Shape of the particles is very important:

• Round particles lead to much lower strength

• Edgy particles generally lead to higher strength

2. Even small amount of round particles affect

properties of sand immensely

3. Even relatively small amount of fine particles may

have significant effect on the sand behaviour and

strength.

Page 61: Geo-E2010 Advanced Soil Mechanics D

Role of amount of strain and density

Page 62: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

62

Advanced Soil Mechanics. W. Sołowski

Density influence

Peak and residual failure stresses

Same ultimate strength,

but different peak strength

and volume change

No volume change after

large shearing

Page 63: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

63

Advanced Soil Mechanics. W. Sołowski

Microstructure influence

Peak and residual failure stresses

Page 64: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

64

Advanced Soil Mechanics. W. Sołowski

Small strain stiffness

Mitchell & Soga 2005

Page 65: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

65

Advanced Soil Mechanics. W. Sołowski

Small strain stiffness

Data for sand, Oztoprak & Bolton 2013

Page 66: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

66

Advanced Soil Mechanics. W. Sołowski

Small strain stiffness

Wichtmann et al. 2011

Page 67: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

67

Advanced Soil Mechanics. W. Sołowski

Anisotropy

Oda 1972

Effect of initial fabric

anisotropy on stress–

strain and volume

change behaviour of

Toyoura sand.

Page 68: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

68

Advanced Soil Mechanics. W. Sołowski

Anisotropy

Park and Tatsuoka,1994

Page 69: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

69

Advanced Soil Mechanics W. Sołowski

Summary (3) 1. Shearing at given confining pressure leads to the same ultimate

strength if volume change is allowed (drained, no pore pressure

build up)

2. That ultimate strength is reached at the same volume

3. Hence, for given volume of granular material (isotropic), we

have single ultimate strength

4. If we start shearing at denser state, we will dilate while reaching

that ultimate strength. For a while, our shear strength may be

higher than the ultimate strength

5. If we start shearing at loose state, we will compact while

reaching the ultimate strength. The shear strength will slowly

approach the ultimate strength

6. At small strain, the behaviour of the material is very different

and much stiffer.

7. Anisotropy is usually neglected, but has significant (30%?)

influence on sand behaviour, important e.g. in slope stability.

Page 70: Geo-E2010 Advanced Soil Mechanics D

Solid – liquid transition and cyclic loading

Page 71: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

71

Advanced Soil Mechanics. W. Sołowski

Solid – liquid transition

Once the specific volume is high enough, the soil particles

loose contact:

→ soil behaves like a gas (if dry) or liquid (if wet)

However, the soil particles will loose any friction between

them when the pore pressures are high enough (so the

effective stress is zero or less).

→ soil behaves like a liquid

Page 72: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

72

Advanced Soil Mechanics. W. Sołowski

Sand liquefactionRapid shearing

Sand wants to densify, but

constant volume leads to

particles loosing contact…

Build-up of pore pressures

Reduction of effective stress

and shear strength

Liquefaction

Page 73: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

73

Advanced Soil Mechanics. W. Sołowski

Sand liquefaction

Page 74: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

74

Advanced Soil Mechanics. W. Sołowski

Sand: cyclic loading

Wichtmann et al. 2011

z = qampl /p0

Page 75: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

75

Advanced Soil Mechanics. W. Sołowski

Sand: cyclic loading

Page 76: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

76

Advanced Soil Mechanics. W. Sołowski

Clay: cyclic loadingWichtmann et al. 2013

Page 77: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

77

Advanced Soil Mechanics W. Sołowski

Summary (4)

1. Liquefaction is a result of loose sand shearing. The

sand is sheared at constant volume, and there is not

time for it to contact, hence the pore pressure is

generated to reach critical state. This reduces

effective stress and shear strength.

2. Cyclic loading may lead to:

Damage, cracking, breakage at the contact,

• Leading to changes in grain size distribution and

grain shapes,

• Leading to reduction of strength

• Short term, it may lead to liquefaction of loose sand

Page 78: Geo-E2010 Advanced Soil Mechanics D

Department of Civil Engineering

78

Advanced Soil Mechanics W. Sołowski

Simplified summary: sandWhat is sand microstructure like?

Can be loose / dense; force chains exist

What is the influence of silty / clay additions on sand behaviour?

Additions significantly reduce sand strength

How sand behaves when the strain is small?

Sand is much stiffer, less deformations. Perhaps little / no movement of

particles

How it behaves when the strains are larger? That is what we usually

test… You need to know the difference between dense and loose sand.

When sand can liquefy? Why?

Sand liquefies usually under rapid cyclic loading. Only loose sand liquefies.

Liquefaction is due to undrained sand densification

How granular materials behave under cyclic loading?

The larger the amplitude of load, the quicker they loose strength. With very

low amplitudes, grain wear (grain becomes rounder) and grain cracking

matter a lot (especially train lines)

Page 79: Geo-E2010 Advanced Soil Mechanics D

Thank you