A mathematical analysis is presented of the reduction of package stres
ses by introducing an on-chip decoupling zone. Different configuration
s of the zones are compared, using the finite-element method (FEM) and
analytical models. A reduction of several orders of magnitude is obta
ined when a deep and thin axisymmetrical corrugation with a V-shaped c
ross section (a V-zone) is applied as the decoupling zone. Approximate
expressions for the stiffness and the force reduction are derived. Th
e application of a membrane pressure sensor with a V-zone as decouplin
g zone is evaluated. It is shown that the sensitivity of the sensor is
not reduced by the addition of the V-zone.