The subject matter described herein includes methods, systems, and computer readable media for monitored application of mechanical force to samples using acoustic energy and mechanical parameter value extraction using mechanical response models. One aspect of the subject matter described herein includes a method for determining mechanical property parameters of a sample. The method includes applying acoustic energy to a sample to apply a mechanical force to the sample. The method further includes measuring a response by the sample during the application of the acoustic energy to determine a value for a first mechanical property parameter of the sample. The method further includes measuring a recovery response of the sample following cessation of the application of the acoustic energy to determine a value for at least one second mechanical property parameter of the sample. The method further includes determining a value for at least one additional mechanical property parameter of the sample based on a mathematical relationship between the first, at least one second, and at least one additional mechanical property parameter.