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2018 | Buch

Interface Fracture and Delaminations in Composite Materials

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Über dieses Buch

Part I of this SpringerBrief presents the problem of a crack between two dissimilar isotropic materials and describes the mathematical background. A fracture criterion is discussed and Methods for calculating fracture parameters such as stress intensity factors using the finite element method and three post-processors are considered. Actual test data and both deterministic and statistical failure curves are presented.In Part II of the book, similar descriptions are given for delaminations in composite laminates. The mathematical treatment of this type of damage including the first term of the asymptotic expansion of the stress and displacement fields is considered. Numerical post-processors for determining stress intensity factors for these cases are reviewed. Two examples of specific laminates are presented: one with a failure curve and the other with a failure surface. Finally, beam specimens used for testing such failures are discussed.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Abstract
In this chapter, the basic tenets of fracture mechanics are described. The first term of the asymptotic expression for the stress and displacement fields in the neighborhood of a crack tip is presented for a homogeneous, isotropic, linear elastic material. The concept of fracture modes and stress intensity factors are discussed. The energy approach through the Griffith energy is delineated. A presentation of the J-integral and its relationship to the Griffith energy and the stress intensity factors is given. A description of a fracture criterion through the fracture toughness is presented.
Leslie Banks-Sills

Interface Fracture

Frontmatter
Chapter 2. Fundamentals of Interface Fracture Mechanics
Abstract
In this chapter, the basic principles of interface fracture mechanics are presented. After a brief description of the development of interface fracture, the first term of the asymptotic expression for the stress and displacement fields in the neighborhood of an interface crack tip between two homogeneous, isotropic, linear elastic materials is presented. The energy release rate for this crack type, as well as the J-integral are described. Both deterministic and statistically obtained fracture criteria are discussed.
Leslie Banks-Sills
Chapter 3. Calculation of Stress Intensity Factors – An Interface Crack
Abstract
In this chapter, aspects of the finite element method for obtaining the displacement field of a body containing an interface crack are described. Square-root singular, quarter-point elements in two and three dimensions will be presented. Once the displacement field is found three methods are suggested for computing stress intensity factors; they include the displacement extrapolation (DE) method, the conservative interaction energy integral or M-integral, and the Virtual Crack Closure Technique (VCCT). The stress intensity factors are then employed to obtain the interface energy release rate and two phase angles.
Leslie Banks-Sills
Chapter 4. Testing–Interface Crack Between Two Isotropic Materials
Abstract
In this chapter, an interface crack between two dissimilar linear elastic, homogeneous and isotropic materials is considered. Methods of testing, as well as some test results are presented.
Leslie Banks-Sills

Delaminations in Composites

Frontmatter
Chapter 5. Mathematical Treatment of Delaminations
Abstract
In this chapter, a delamination in a multi-directional (MD) fiber reinforced laminate composite is considered. This problem is treated as an interface crack between two dissimilar anisotropic materials with both a square-root stress singularity and an oscillating, square-root singularity at the crack tip. The mechanical and thermal properties of the composite plies are obtained by means of homogenization. Several interfaces are considered including \(0^{\circ }//90^{\circ }\), \(+45^{\circ }//-45^{\circ }\), \(30^{\circ }//-60^{\circ }\) and \(-30^{\circ }//60^{\circ }\), as well as an interface between two woven plies of an MD laminate. The double slash represents the position of the delamination relative to the ply directions. The first term of the asymptotic expansion of the stress and displacement fields will be presented together with the interface energy release rate, phase angles and the J-integral.
Leslie Banks-Sills
Chapter 6. Methods of Calculating Stress Intensity Factors–Delaminations
Abstract
In this chapter, methods for obtaining the stress intensity factors, interface energy release rate and phase angles are presented for interface cracks between two anisotropic materials. These methods include displacement extrapolation, the conservative interaction energy or M-integral and the Virtual Crack Closure Technique. Although these methods have been formulated with the finite element method in mind, they may be adapted to all numerical techniques which provide field quantities.
Leslie Banks-Sills
Chapter 7. Testing–Delamination Between Two Dissimilar Plies
Abstract
In this chapter, results are presented for the fracture toughness or critical interface energy release rate under mixed mode conditions. Deterministic and probabilistic criteria are considered. In addition, beam type specimens which are recommended in international standards are presented.
Leslie Banks-Sills
Backmatter
Metadaten
Titel
Interface Fracture and Delaminations in Composite Materials
verfasst von
Leslie Banks-Sills
Copyright-Jahr
2018
Electronic ISBN
978-3-319-60327-8
Print ISBN
978-3-319-60326-1
DOI
https://doi.org/10.1007/978-3-319-60327-8

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