Sinusoidal Oscillations - Lesson Summary
The basic idea behind objectivity is that the fundamental laws of nature are independent of the frame of reference.
The independence of rigid-body motion is equivalent to the independence of the choice of frame.
Cauchy’s Hypothesis is about the form of contact forces. Cauchy introduced the concept of a surface traction field.
The separation between two places in the Euclidean space is a frame-indifferent vector.
When materials are subjected to sinusoidal strain or stress histories, other material response functions arise.
For a classical elastic solid, when you apply a sinusoidal strain history, the output is a stress which is also a sin function.
In the integration of the stress relaxation function and the creep function “s” is a dummy variable for integration and is different from the variable used in Laplace transforms.
The Jeffrey's fluid element comprises of a spring and a dashpot in parallel, and then another dashpot that comes in series.
The work done on a classical elastic solid over a sinusoidal cycle is fully recoverable.
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