Formulae Flashcards

1
Q

eq for shear stress

A

τ = F/A

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2
Q

eq for shear rate

A

Ẏ = v/h = dv/dh

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3
Q

eq for strain in terms of h

A

dx/h

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4
Q

eq for viscosity

A

μ = τ/Ẏ

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5
Q

what are the units for toughness?

A

energy per volume

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6
Q

units for stiffness?

A

Pa or MPa or GPa

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7
Q

units for ultimate tensile strength?

A

Pa or MPa or GPa

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8
Q

eq for stress and strain combined

A

σ = Eε

where σ = stress
E = elastic modulus
ε = strain

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9
Q

eq for E

A

E = σ/ε

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10
Q

units for E

A

N/m^2 or Pa or MPa or GPa

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11
Q

eq for strain

A

ε = ΔL / L_0

where ΔL = change in length of sample
L_0 = initial length

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12
Q

units for strain

A

NO units or sometimes %

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13
Q

eq for stress using force

A

σ = force/A_0

where A_0 = cross-sectional area from sample

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14
Q

units for stress

A

N/m^2 or Pa or MPa or GPa

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15
Q

conversion for MPa

A

10^6 Pa

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16
Q

conversion for GPa

A

10^9 Pa

17
Q

units for shear stress

A

N/m^2 or Pa

18
Q

units for shear rate

A

1/s = s^-1

19
Q

units for viscosity

A

Pa/s^-1 = Pa s

20
Q

converting Pa s to mPa s

A

1Pa s = 1000 MPa s

21
Q

eq for Xc

A

Intensity of the crystalline regions/ (intensity of the crystalline + amorphous regions)

intensity measured from the area under the curves of the PXRD graph

amorphous = broader peaks along the bottom

22
Q

How do you measure the crystallinity for DSC?

A

% crystallinity = [ΔHm - ΔHc] / ΔHm°

23
Q

calculating Tg of a miscible polymer blend

A

Tg = (Tg)afa + (Tg)bfb

where f is the volume fraction of each polymer (a & b)

OR

1/Tg = Ma/(tg)a + Mb/(Tg)b

where M is the mass fraction of each polymer (a & b)

24
Q

labelling the topologies/stoichiometries/linkers for porous organic cages

A

X^m_p Y^n

X and Y are the connectivities of each linker (1&2) e.g. di, tri, tet

m and n are the number of each molecule in the cage
p is the number of double connections

ALWAYS START WITH THE HIGHEST NO. FOR X

25
Q

eq for G*

A

T_A / Y_A

where T_A = shear stress
Y_A = shear strain