Elastic waves in a material with chemomechanical reactions (Q1098343)

A theoretical analysis is given of mechanical wave processes in muscle tissue over a broad frequency range. The elastic waves are studied using a continual chemomechanical model extended to the case of an arbitrary discrete and continuous relaxation time spectrum. Analytic expressions containing elastic and viscous parameters, as well as parameters corresponding to the muscle anisotropy and activity, are obtained for the elastic wave velocity and damping in thin muscle tissue specimens. The muscle specimen stability conditions are found. A comparison is made with known experimental results and it is shown that the model constructed describes the elastic-wave characteristics satisfactorily in a muscle in different states.