A vibration isolator (100) includes a flexure (102), a constrained VEM layer coupler (104), and a constrained VEM layer (106) configured to oppose relative translational and rotational motion between points of the flexure. The flexure may be a loop flexure and may include multiple loops that may be elliptical, circular, rectangular or square in overall aspect, for example. In multi-loop embodiments, the loops may share a common major axis or their major axes may be at an angle to one another. The device enhances damping by providing an increase in viscoelastic surface area over that available in the surface area of the flexure and provides a method of adjusting the strain in the VEM as the flexure undergoes deflection.