%0 Journal Article
%T Stress Intensity Factors for Cracked Finite Plates with Mixed Boundary Condition
%A Zheyuan Hu
%A Zheming Zhu
%A Ruoqi Feng
%A Rong Hu
%J ISRN Mechanical Engineering
%D 2013
%R 10.1155/2013/471458
%X The mixed boundary problems for finite plates with one crack or two collinear cracks are studied. Complex stress functions that satisfy the equilibrium equations and compatibility conditions in the cracked plate as well as the stress condition on crack surfaces are presented. Four models, that is, a square plate with one crack or with two collinear cracks and an airfoil-shaped plate with one crack or with two collinear cracks, are established. The unknown coefficients of the complex stress functions are determined by using boundary collocation method (BCM). The effects of crack orientation, crack distance, and boundary condition on SIFs are investigated by combining with BCM, and the corresponding photoelastic experiments are conducted. The test results generally agree with the BCM calculation results. 1. Introduction Finite plates with fixed and loaded combination boundary are frequently encountered in engineering practice, such as cantilever beams and aircraft airfoils. In both cases, part of the structures is fixed and the upper face of the cantilever or the windward side of the airfoil will be subjected to load. If such structures contain a crack or multicracks, how to evaluate their stability and strength is a significant subject because the strength of cracked structures is immensely dependent on the geometrical configuration, loading condition, and the crack behavior. In order to precisely predict the stability of the structures of cracked finite plates with mixed boundary condition, it is imperative to implement theoretical and experimental studies so as to obtain the dominative parameters that control the structure stability and, furthermore, to predict engineering disasters. Varied solutions to stress intensity factors for crack problems are generally in three different ways, namely, analytic, numerical, and experimental methods. For many plane problems, the SIFs can be found in the handbook [1, 2]. Muskhelishvili [3] established the fundamental equations in terms of complex functions to solve many plane problems. Jing [4] reviewed the numerical methods in literature and listed many available numerical methods, outstanding issues and potential future developments in this field. Marakami [5] used the finite element method to determine the stress intensity factors for a plate with single crack. Zhu et al. [6¨C11] investigated the effect of crack orientations on SIFs for cracks subjected to uniform load and proposed a brief formula of SIF based on BCM calculation results.Yavuz et al.[12] analyzed the interaction of multiple crack configuration
%U http://www.hindawi.com/journals/isrn.mechanical.engineering/2013/471458/