WordNet sense 1 (a twist or aberration; especially a perverse or abnormal way of judging or acting):

deflection

WordNet sense 2 (a shape distorted by twisting or folding):

buckle

WordNet sense 3 (a moral or mental distortion):

warping

WordNet sense 4 (make false by mutilation or addition; as of a message or story):

distort, falsify, garble

WordNet sense 5 (bend out of shape, as under pressure or from heat):

heave