Finite Strip Analysis of Cracked Laminate: Stress Based Plane Strain Approach

摘要

Stress based finite strip model is developed for analysis of cracked laminate. Planernstrain state is assumed and finite strip method is formulated. Total complementaryrnpotential energy is minimized and fourth order Euler Lagrange governing equationsrnare presented. This stress based plane strain approach analyzes general lay up andrnloading conditions. It provides flexibility to control the number of finite strip nodalrnlines within each lamina hence stress behavior can be predicted across each lamina atrndesired location of the structure. It enhances the capability of stress based approach byrndifferentiating stress behavior near and away from the crack tip. Boundary conditionsrnincluding natural boundary conditions are imposed appropriately to solve governingrnEuler’s equations. Results from this current semi analytical model are compared withrnanalytical models available in literature. These are also compared with alreadyrnavailable generalized plane strain based finite strip model for cracked laminate whichrnevaluates displacements as unknowns by minimizing total potential energy. This workrnhas extended the analysis of the cracked laminate by developing it with stress basedrnfinite strip approach which is applicable to any layup including non cross plyrnstructures. Limitations of this model due to plane strain approach are discussed andrnresults are compared with array of examples from the available literature.