- #1

curious_being

- 3

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I guess my confusion is as to how a shock forms if the system is linear... If it is a linear sound wave, the pressure distribution or the structure of the wave propagates unperturbed. If the interaction between granules is non-linear, I see how the structure of the wave eventually becomes a shock wave as the wavefront gets squished as larger loadings will propagate faster.

Back to the linear system, how does the linear interaction bring about a nonlinear compressibility to generate a shock front if k doesn't change...? I think the density behind the front will increase linearly but I don't know how to relate all the state variables let alone know how to derive an EOS for a linear lattice.

Much help would be greatly appreciated!