Dynamic load-absorbing materials suitable for use as cushion-type and armor-type materials, for example, of types that can be incorporated into protective gear, equipment, armor, vehicles, and various other structures, or used for the isolation and dissipation of vibratory loads, such as vibration isolators used to support avionic equipment. The impact-absorbing materials include a matrix material (22) and at least first and second sets of inclusions (which can be either included material or voids) (24) in the matrix material (22) that define a hierarchy of inclusions (24) in the matrix material (22). The inclusions (24) differ in size, quantity, shape and/or composition in a direction through the impact-absorbing material, the combination of which contributes to the ability of the material to exhibit at least one property that changes as the inclusions (24) are deformed under load.