Patent ID: 6781702
Filing Date: 2004-08-24
Classification: G01B

Abstract:
A method, comprising:providing a plate structure to represent a device; using a first spatial-varying function that is uniform within a plane of said plate structure and varies along a direction perpendicular to said plane to represent a body force acting on said device which affects evolution of curvature of said device; using a second spatial-varying function that is uniform within said plane and varies along a direction perpendicular to said plane and with a temperature of said device to represent effects of thermal stresses in said device; using nonlinear functions of positions within said plane to represent displacements of said device within two principal directions within said plane and a third principal direction perpendicular to said plane, respectively, to include effects of large deformation; computing a total potential energy of said device based on said first and said second spatial-varying functions and said nonlinear functions for said displacements; and minimizing said total potential energy with respect to principal curvatures and axial stretches respectively along said two principal directions within said plane to derive analytical relationships between an effective force for causing curvature evolution of said device and principal curvatures along said two principal directions.