A general sublaminate analysis method for determining strain energy release rates in composites

Flanagan, Gerry

doi:10.2514/6.1994-1356

Cited by 9 publications

(8 citation statements)

References 7 publications

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“…Flanagan developed a code based on sublaminate analysis and demonstrated its application to simple fracture toughness specimens, the curved-beam test and edge delamination [119]. The problem of a composite stringer separating from the skin has been investigated using plate and shell models in [61,120,121].…”

Section: Applying the Virtual Crack Closure Technique To Analysis Witmentioning

confidence: 99%

Virtual crack closure technique: History, approach, and applications

Krueger

2004

Applied Mechanics Reviews

1,085

557

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 An overview of the virtual crack closure technique is presented. The approach used is discussed, the history summarized, and insight i n to its applications provided. Equations for two-dimensional quadrilateral elements with linear and quadratic shape functions are given. Formulae for applying the technique in conjuction with threedimensional solid elements as well as plate shell elements are also provided. Necessary modi cations for the use of the method with geometrically nonlinear nite element analysis and corrections required for elements at the crack tip with di erent lengths and widths are discussed. The problems associated with cracks or delaminations propagating between di erent materials are mentioned brie y, a s w ell as a strategy to minimize these problems. Due to an increased interest in using a fracture mechanics based approach to assess the damage tolerance of composite structures in the design phase and during certi cation, the engineering problems selected as examples and given as references focus on the application of the technique to components made of composite materials. • TECHNICAL MEMORANDUM. Scientific and technical findings that are preliminary or of specialized interest, e.g., quick release reports, working papers, and bibliographies that contain minimal annotation. Does not contain extensive analysis.• CONTRACTOR REPORT. Scientific and technical findings by NASA-sponsored contractors and grantees.• CONFERENCE PUBLICATIONS. Collected papers from scientific and technical conferences, symposia, seminars, or other meetings sponsored or cosponsored by NASA.• SPECIAL PUBLICATION. Scientific, technical, or historical information from NASA programs, projects, and missions, often concerned with subjects having substantial public interest.• TECHNICAL TRANSLATION. Englishlanguage translations of foreign scientific and technical material pertinent to NASA's mission. propagating between different materials are mentioned briefly, as well as a strategy to minimize these problems.Due to an increased interest in using a fracture mechanics based approach to assess the damage tolerance of composite structures in the design phase and during certification, the engineering problems selected as examples and given as references focus on the application of the technique to components made of composite materials.

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Section: Applying the Virtual Crack Closure Technique To Analysis Witmentioning

confidence: 99%

Virtual crack closure technique: History, approach, and applications

Krueger

2004

Applied Mechanics Reviews

1,085

557

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“…Another way to improve the accuracy of results consists in the sublaminates strategy, which is proposed in [Flanagan 1994;Averill and Yip 1996]. The number of subdivisions of the laminate thickness determines the accuracy of the approach.…”

Section: (Mixed)mentioning

confidence: 99%

A refined sine-based finite element with transverse normal deformation for the analysis of laminated beams under thermomechanical loads

Vidal¹,

Polit²

2009

JOMMS

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In the framework of a sine model family, two new three-node beam finite elements including the transverse normal effect are designed for the analysis of laminated beams. They are based on a sine distribution with layer refinement and a second-order expansion for the deflection. The transverse shear strain is obtained using a cosine function, avoiding the use of shear correction factors. This kinematics accounts for the interlaminar continuity conditions on the interfaces between layers, and the boundary conditions on the upper and lower surfaces of the beam. A conforming FE approach is carried out using Lagrange and Hermite interpolations. It is important to notice that the number of unknowns is independent of the number of layers.Both mechanical and thermomechanical tests for thin and thick beams are presented in order to evaluate the capability of these new finite elements to give accurate results with respect to elasticity or finite element reference solutions. Both convergence velocity and accuracy are discussed and this new finite element yields very satisfactory results at a low computational cost. In particular, the transverse stress computed from the constitutive relation is well estimated with regards to classical equivalent single layer models. This work focuses on the necessity to take into account the transverse normal stress, especially for thick beam and coupled analysis.

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“…using finite element analysis with very fine mesh refinement. Closed form fracture mechanics solutions are also less easy to develop for complex geometries, although the shear deformable plate theory [21] and crack tip element [22] methods offer potential breakthroughs. Another means to conduct parametric studies is to simplify the finite element analysis using 2D plate elements [23].…”

Section: Simplification Of Finite Element Modellingmentioning

confidence: 99%

Local fracture mechanics analysis of stringer pull-off and delamination in a post-buckled compression panel

Martin¹

1996

Appl Compos Mater

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This paper describes some of the current global/local testing and analysis approaches to evaluating the design of composite structure. A case study for the local, fracture mechanics analysis of failure in a 4-stringer compression panel is described in detail. The analysis investigates the variation of strain energy release rate G with debond length using a 2-D plane strain finite element analysis (FEA) of one of the stringers. The boundary conditions on the local model were determined from a global shell element model of the panel. Delamination was also modelled in the cap of the stringer using FEA and a closed form solution. The values of G for these two damage modes were compared with the material's fracture toughness. Using this analysis, the load to initiate the stringer debond and to cause edge delamination of the cap may be determined.

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A general sublaminate analysis method for determining strain energy release rates in composites

Cited by 9 publications

References 7 publications

Virtual crack closure technique: History, approach, and applications

Virtual crack closure technique: History, approach, and applications

A refined sine-based finite element with transverse normal deformation for the analysis of laminated beams under thermomechanical loads

Local fracture mechanics analysis of stringer pull-off and delamination in a post-buckled compression panel

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