WordNet sense 1 (twist and press out of shape):

contort, deform, wring

WordNet sense 2 (form into a spiral shape):

twine, twist

WordNet sense 3 (affect as in thought or feeling):

color, tinge, colour

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

falsify, garble, warp

WordNet sense 5 (alter the shape of (something) by stress):

strain