New approach to mathematical and finite element modeling of delaminations in multidirectional multilayered laminated composite structures: I. Fracture criteria and finite element algorithm

摘要

Abstract: This paper presents new approach to the fractureanalysis of laminated composite structures (laminates).The first part of the paper is devoted to the generalalgorithm, which allows to obtain critical stresses forany structure considering only the strip made from thesame laminate. The algorithm is based on thecomputation of the energy release rates for all threecrack modes and allows to obtain macro-failureparameters such as critical stresses through themicro-fracture characteristics. The developed algorithmis also based on the locality principle in mechanics ofcomposite structures and sequential heterogenizationmethod. The algorithm can be applied both for classicalmodels of laminates with homogenous layers and new 3Dfinite element (FE) models of interfacial cracks inmultidirectional composite structures. The results ofmultilevel, multimodel and multivariant analysis of 3Ddelamination problems with detailed microstructure inthe crack tip zone are presented. !21