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论文类型：期刊论文

发表时间：2009-08-01

发表刊物：ENGINEERING FRACTURE MECHANICS

收录刊物：EI、SCIE

卷号：76

期号：12

页面范围：1866-1882

ISSN号：0013-7944

关键字：Analytic stress intensity factors; Symplectic expansion; Hamiltonian formulation; Mixed boundary conditions

摘要：An analytic method to determine the stress intensity factors of finite elastic disk in polar coordinates is introduced with extension to various geometric domains using least-square method. It first finds the symplectic eigenfunctions after expressing the governing equilibrium equations in a Hamiltonian form for variable separation. The displacements and stresses are expanded by the symplectic eigenfunctions with coefficients determined from the boundary conditions. The stress intensity factors are actually the first two coefficients of the series and no post-processing is required. The higher coefficient gives the T-stress. Examples for discontinuous boundary conditions are included and new results are given. (C) 2009 Elsevier Ltd. All rights reserved.