Dynamic Mechanical Analysis (DMA) Flashcards
What are the basic principles of DMA?
- Measures mechanical or viscoelastic properties.
- Sinusoidal force applied to sample.
- Resulting displacement measured.
What material is said to be viscoelastic?
Material with both elastic and viscous (time dependent) behavior.
What are the parameters measured in DMA?
- Stiffness (modulus values).
- Tg.
What are the two modulus values and what behaviors do they represent?
- Storage modulus - elastic behavior
- Loss modulus - inelastic behavior
What is the glass transition temperature Tg?
Where crystalline domain loses its structure, or melts.
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Temperature which amorphous domains lose structure mobility of polymer chains - become rigid glasses.
What is the Storage Modulus? give the equation.
- The ability of material to store energy
- elastic properties
- E’(MPa) = stress / strain x cosδ
- Similar to stiffness
What is the loss modulus,what properties does it show, state the equation?
- Heat dissipated from material due to molecular motions
- damping & viscous properties
- E’‘(MPa) = stress / strain x sinδ
- similar to viscosity
What is the complex modulus?
- Material’s resistance to deformation.
- E* = E’ + iE’’
What is the tan δ?
- Ratio of the dissipated energy to energy stored.
- Tan δ = E’’ / E’
- damping properties.
What are the two significant tan δ values?
Tan δ = 0, pure liquid (purely elastic materials)
Tan δ = ∞, δ = 90° (visco-elastic materials)
What is measured by DMA, express units?
S = stiffness (N/m)
k = geometry constant (m-1)
What is calculated by DMA, express units?
Modulus (Pa): E = S/k
How is the geometry constant (k) calculated?
Tension& Compression:
k = A/l
A: cross-sectional area
I: free length
What are the different geometries?
- single cantilever
- Dual cantilever
- 3 point bending
- simple shear
What is the equation for single cantilever geometry?
k = w(t/l)3