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Transcript of Nano- and Micromechanicsmrl.illinois.edu/sites/default/files/pdfs/Nano- and...Microindenter Tips...

© 2015 University of Illinois Board of Trustees. All rights reserved.

Nano- and Micromechanics

Kathy Walsh, Ph.D.

Frederick Seitz Materials Research Laboratory University of Illinois at Urbana-Champaign

How does stuff respond when you poke it, squeeze it, or stretch it?

Sample

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Sample

The Right Tool for the Job

• Sensitive enough to measure the sample

– Appropriate force resolution

• Spatial resolution on an interesting scale

– Lateral resolution: 10s of nm, 100s of µm, mm

– Displacement: nm, µm, mm

Choose the Right Technique for Your Sample

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Small-Scale Mechanical Testing

• Nanoscale – AFM

– Nanoindenter

• Microscale – Nanoindenter

– Microindenter

• Milliscale – Rheometer (twisting)

– DMA (stretching, compressing)

DMA

Nanoindenter

AFM

Small-scale Mechanical Testing

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Why Measure Nano- or Micromechanical Properties?

• Mechanical properties help define materials

– Optimize applications

– Flexibility, biomechanical compatibility

– Crack formation, wear resistance

• Local composition variations in samples

– Spatially-resolved mechanical testing

• Samples may be inherently small

– Thin films, MEMS devices, nanopillars

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What Mechanical Properties Do People Measure?

• Quasistatic

– Elastic modulus

– Hardness

• Dynamic

– Time-dependent (viscoelastic) properties

– Storage modulus, loss modulus, tan delta

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What Mechanical Properties Do People Measure?

• Quasistatic

– Stress vs. strain curves

– Load (force) vs. displacement curves

• Dynamic

– Properties as a function of time or frequency

– Creep or stress relaxation

Load

Displacement

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How do People Measure Mechanical Properties?

• Quasistatic

– AFM force curves

– Nanoindentation, microindentation

– Stress vs. strain curves

• Dynamic

– AFM dynamic measurements

– nanoDMA, Modulus Mapping

– Dynamic Mechanical Analysis

nan

oscale m

icroscale m

illiscale

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How do People Measure Mechanical Properties?

• Quasistatic

– Nanoindentation, microindentation

• Elastic (Young’s) modulus

– Related to sample stiffness

• Hardness

– Related to amount of plastic deformation

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Micro- vs. Nanoindentation

• (Instrumented) microindentation is sometimes more useful

– Indents to greater depths

– Cares less about • Surface roughness

• Surface forces (adhesion)

Micro- vs. Nanoindentation

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Nanoindenter

Microindenter

Optical microscope (indent positioning)

Instrumented Indentation

• Different names, same technique

– Nanoindentation

• Indentation depths shallower than a few µm

• Microindentation if deeper (some instruments)

– Instrumented Indentation

– Depth-Sensing Indentation

Record applied load and indent depth

Poke a sample and record its response

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Nanoindenter Basic Parts

Tip Transducer

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Nanoindenter Basic Parts

Tip Transducer

Stiff frame

Nanopositioning

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Why Does the Instrument Frame Stiffness Matter?

Tip

Stiff frame © 2015 University of Illinois Board of Trustees. All rights reserved.

It’s Basically About the Tip and Sample

Tip Transducer

Stiff frame

Nanopositioning

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Nanoindenter Tips

• Tips are made of diamond or sapphire

– Tip characteristics are well-known

– Tip compliance is negligible

• Variety of shapes for different applications

– Induce different deformation mechanisms

– Berkovich, Vickers, cube corner

– Flat punch, conospherical (bending, soft materials)

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Nanoindenter Tips

• Nanoindentation

– Up to a few µm deep

– Up to several mN

• Most popular tip shape for nanoindentation:

– Berkovich 3-sided pyramid

Nanoindentation residual imprint Berkovich tip on aluminum foil (atomic force microscopy image)

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Microindenter Tips

• Microindentation

– Many µm deep

– Up to several N

• Most popular tip shape for microindentation:

– Vickers 4-sided pyramid

– Soft materials: sphere

Microindentation residual imprints Vickers tip on steel (bright field and dark field optical microscopy images)

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Contact Area

• Contact area between tip and sample

– Very, very important (crucial calibration)

– How much of your tip is applying force on how much of your sample?

– Depends on depth indented into sample

– Depends on roughness

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Vickers indent on steel (AFM image)

Contact Area

• To ensure well-defined contact area between tip and sample…

• make your sample as smooth as possible

– Polishing

– But beware of work hardening

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vs.

smooth rough

The 5% Rule

• Contact area between tip and sample

• Sample roughness should be ≤ 5% of indent depth…

• … indent 20x deeper than surface roughness

• Can get tricky for thin samples because of the 10% rule

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This indent is not deep enough to get good data

The 10% Rule

• The substrate effect

• Indent depth should be ≤ 10% of sample thickness

• Indent too deep, start measuring the substrate

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feels like foam feels stiffer

vs.

sample

indent here

substrate

The 5% and 10% Rules

• 5% rule and 10% rule are just rules of thumb… the actual values are sample-dependent

– Compliant sample on stiff substrate: can probably go deeper than 10%

– Stiff sample on compliant substrate: probably see substrate effect at depths shallower than 10%

© 2015 University of Illinois Board of Trustees. All rights reserved.

Performing an Indent Th

is is actually a n

on

-instru

me

nted

micro

ind

enter

can hold to do a creep/stress relaxation test

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Example Nanoindentation Data (Quartz)

Load P (few µN to few mN)

Displacement h (few tens of nm to few µm)

“Load—displacement curve”

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Example Nanoindentation Data (Quartz)

“Load—displacement curve”

loading curve

unloading curve

(optional) hold segment

to measure creep

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Example Nanoindentation Data (Quartz)

“Load—displacement curve”

unloading curve

fit for analysis

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Getting “the Answer”

Reduced modulus Hardness

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(Actually, , but just look up “fundamental equation of nanoindentation.”)

Contact area: area of tip in contact with sample at a given depth

Why Does Contact Area Matter, Again?

Reduced modulus

Hardness

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Elastic from Reduced Modulus

Elastic (Young’s) modulus

Already known (diamond tips)

Poisson’s ratio of the sample

Measure using nanoindentation

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Many people just quote this value

(Quasi)static vs. Dynamic Testing

• Many materials are somewhat viscoelastic

– Time-dependent mechanical behavior

• Creep or stress relaxation

– Hold a constant load or displacement for a long time

– Beware of drift

• Dynamic testing

creep

relaxation

creep and stress relaxation tests on nitrile glove

(Quasi)static vs. Dynamic Testing

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Nanomechanical Properties as a Function of Depth

hardness

and

(reduced) modulus

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indentation depth (tens of nm to few µm typical)

5% rule

surface effects and calibrations matter more for shallower indents

Nanomechanical Properties as a Function of Depth

hardness

and

(reduced) modulus

© 2015 University of Illinois Board of Trustees. All rights reserved.

indentation depth (tens of nm to few µm typical)

10% rule

may start to measure substrate properties

Nanoindentation Gives Nanomechanical Properties as a Function of Depth and Location

hardness

and

(reduced) modulus

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These indents were done at different places on the sample as well as at different depths

Nanoindenters Are (Usually) Not Made for Soft Materials

• Nanoindenters are usually made for the “engineering materials” community

– Metals, composites, non-porous materials

• Using a traditional nanoindenter to study soft, compliant, porous, or sticky materials

– Usually doesn’t go deep enough

– Usually doesn’t have awesome enough force resolution

Measurements are Harder on Soft Materials

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~MPa comfortable modulus for nanoindentation (try AFM-based techniques for more compliant samples)

Practical Concerns for Biomaterials

• Fixative changes mechanical properties!

– Fixative makes things stiffer

– If that’s the only way you can study your sample…

• Do a comparative study (no absolute numbers)

• Make control samples with just the fixative

• May need a heating cell/stage to stay at biorelevant temperatures

• May need to work in fluid

Practical Considerations for Biomaterials

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Keeping the “Hydro” in Hydrogel

• Keep wet samples wet

– Drying and rewetting can change properties

– Samples may dry out during measurements

• Don’t get fluid (or vapors) into the instrument

• Petri dishes, closed fluid cells, special tips

Keeping the “Hydro” in Hydrogel

standard

fluid-compatible

the tip is at the end

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Sample Preparation

• Know what your surface looks like first

– Look at it under an optical microscope

– Check sample roughness

• Mounting the sample

– Can’t measure mechanical properties of something that’s floating

– Compliant glue affects results

Sample Preparation

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Sample Mounting

• Glue (usually superglue)

– Porous samples may get partially filled with glue

– Some glue is designed for biological use

• Alternative sample mounting strategies

– Cast gels directly onto substrate

• Glass slide, Petri dish

– Wrap or clamp samples

• Don’t stress the area you want to measure

Sample Mounting

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How to Approach Your Data

• Oliver—Pharr model

– Elastoplastic materials

• But your samples may be…

– Sticky, compliant

– Poroelastic

– Viscoelastic

– Poroviscoelastic

– Thin films

Try continuous stiffness measurements

© 2015 University of Illinois Board of Trustees. All rights reserved.

JKR model

Do dynamic testing, creep/relaxation tests

Most people start here

TA Instruments Q800 DMA clamps: dual cantilever, tension

Nano/micromechanical Testing Facilities

Asylum Cypher 5µm z range

30µm x 30µm scan size

Asylum MFP-3D-SA (x2) 15µm z range

90µm x 90µm scan size

Hysitron TI-950 TriboIndenter transducers: standard, nanoDMA,

high load (2.8N), AE, nanoECR

Nano/micromechanical Testing Facilities at MRL

DMA (milliscale) AFM (nanoscale)

Nanoindentation and Microindentation (nano/microscale)

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Recommended Reading

• Nanoindentation (3rd ed., 2011) – Anthony C. Fischer-Cripps

– Classic text on nanoindentation

• Handbook of Nanoindentation with Biological Applications – Michelle L. Oyen

– Soft materials people: read this one

• Both books are available for free online through the U of I library

Useful Books about Nanoindentation

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