Methods and apparatus, including computer program products, are provided for nonlinear ultrasonic testing. In one aspect there is provided a method, which may include generating at least one ultrasonic wave to enable the at least one ultrasonic wave to propagate through a solid; detecting the at least one ultrasonic wave propagating through the solid; and determining a stress of the solid based on at least one of an imaginary component of a wavenumber, a wave amplitude, a wave strength, a statistical moment in a time domain, or a statistical moment in a frequency domain of the at least one ultrasonic wave.