Thigmo-

Thigmomorphogenesis is the response by plants to mechanical sensation ( wind, raindrops, rubbing by passing animals, etc ) by altering their growth patterns, which may include their canopy structure, growth rate, anatomy, morphology and mechanical strength of their wood. 

Thigmotropism is a movement in which a plant moves or grows in response to touch or contact stimuli, such as wall, pot, or trellis, etc.

Thigmonasty or seismonasty is the nastic response of a plant to touch or vibration.

Thigmotaxis is the movement of an organism toward or away from objects that provide a mechanical stimulus.