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# Science Fair Project Encyclopedia

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# Dynamic mechanical spectroscopy

In the technique of Dynamic Mechanical Spectroscopy a material (usually a slab of polymer) is exposed to a periodical deformation. The deformation can be in tensile, compression or bending mode but torsional deformations are the most practical ones because they tend to produce a linear response more readily. In other words the deformation (strain) can be described a linear function of the applied force (stress). The coefficient that links the two is called the modulus:

```  Strain = modulus * stress
```

In DMS the modulus is measured as a function of the frequency of the deformation and/or the temperature of the experiment. Because the temperature is typically varied in a systematic way the technique is also known as Dynamic Mechanical Thermal Analysis. (DMTA)

The modulus is generally a complex number, because when the applied stress is sinusoidal (i.e. a single frequency is applied) the strain can lag behind in time. The phase shift is due to viscous as opposed to elastic effects.

When the material undergoes a glass transition these losses reach a maximum. The temperature at which this happens, however, is frequency dependent.

The mechanical excitation does not have to be a single sine wave, in fact more than one frequency response can be measured simultaneously in a process called multiplexing. Often a block wave is used rather than a sine wave. This is an application of the Fourier transform principle. A requirement for its application is that the response is linear for all frequencies.

03-10-2013 05:06:04