Nonlinear elastography systems and methods are provided. The elastography system includes a data acquisition module, such as an imaging device, and associated system control circuitry. The data acquisition module is configured to acquire various data, such as displacement and/or force data, from a material. A nonlinear transfer function is applied to the acquired data to generate information about the material's stiffness. In one implementation, a map representative of the material's stiffness is generated.