The influences of passive properties like elasticity and viscosity are easy to understand if we consider that muscles and other soft tissues behave like springs. Viscoelastic materials demonstrate hysteresis, a property wherein the tissues' length-tension characteristics differ during loading and unloading. Muscles also demonstrate a related property, thixotropy, which may be explainable at the level of protein molecules by the formation of transient cross-bridges.
Chesworth, B.M., & Vandervoort, A.A. (1989). Age and passive ankle stiffness in healthy women. Physical Therapy, 69, 217-224.
Magnusson, S.P., Aagard, P., Simonsen, E., & Bojsen-Moller, F. (1998). A biomechanical evaluation of cyclic and static stretch in human skeletal muscle. International Journal of Sports Medicine, 19, 310-6.
Oatis, C.A. (1993). The use of a mechanical model to describe the stiffness and damping characteristics of the knee joint in healthy adults. Physical Therapy, 73, 740-749.