Material Conservation Laws Established Within a Consistent Plate Theorie

Abstract

Conservation laws and related path-independent integrals have been derived within a second-order consistent plate theory considering shear deformations, warping of the cross-section and change-of-thickness effects. By means of path-independent integrals, material forces, i. e., driving-forces for defects may be calculated and used to assess plates with, e. g., cracks. In the absence of defects, the integrals may serve as a validation for the accuracy of numerical calculations.