A general theory for laminated plates with delaminations

Williams, Todd O.; Addessio, F. L.

doi:10.1016/s0020-7683(96)00131-x

Cited by 77 publications

(45 citation statements)

References 15 publications

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“…After the pioneering work by Reddy [11], several modified HSDTs have been developed (see Ref. [12] for a recent review), including specialised versions for the analysis of delaminated plates [13,14]. Besides the adoption of a more or less refined structural theory for the sublaminates, the connection between them has to be suitably described.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Shear on Mode II Delamination

Valvo

2018

Frattura Ed Integrità Strutturale

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ABSTRACT. The paper focuses on the effects of shear deformation and shear forces on the mode II contribution to the energy release rate in delaminated beams. A critical review of the relevant literature is presented, starting from the end-notched flexure test as the prototype of delaminated laminates subjected to pure mode II fracture. Several models of the literature are recalled from simple beam theory to more refined models. The role of first-order shear deformation in line with the Timoshenko beam theory is investigated as distinct from the local crack-tip deformation related to the shear modulus of the material. Then, attention is moved on to a general delaminated beam with an arbitrarily located through-the-width delamination, subjected to mixedmode fracture. Several fracture mode partition methods of the literature are reviewed with specific attention on the effects of shear on the mode II contribution to the energy release rate.KEYWORDS. Delamination; Mixed-mode fracture; Mode II fracture; Beam theory; Shear deformation; End-notched flexure test.Citation: Valvo, P.S., The effects of shear on Mode II delamination: a critical review,

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Section: Introductionmentioning

confidence: 99%

The Effects of Shear on Mode II Delamination

Valvo

2018

Frattura Ed Integrità Strutturale

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“…Generally, damage is produced in a structure during in-service operation. This means that the damage location and the characteristics of damage modes are unknown a priori [60]. In the case of low-velocity impact especially, damage is embedded in the substrate, and barely visible on the surface.…”

Section: Damage Detection Methodsmentioning

confidence: 99%

“…Due to delamination, one part of a structure may lose the load carrying capability. This means that another part will sustain increased stresses and these increased stress states may initiate the propagation of the existing delaminations [60]. Additionally, the delamination can propagate in a stable or unstable way depending on the stress redistributions.…”

Section: Delaminationmentioning

confidence: 99%

“…If the interest lies in the lamina microstructure, the relative dimension of the lamina thickness is very small compared to the structural dimension. This requires very ne nite element mesh size for the analysis of the structure due to aspect ratio considerations [60]. Thus, the size of nite element models required for accurate analysis makes the FE approach to be prohibitively expensive.…”

Section: D/2dmentioning

confidence: 99%

“…Generally, solutions based on exact analytical methods which satisfy all governing equations of the linear elasticity theory are not feasible when the shapes of specimens, the applied loading, and boundary conditions are complicated [60]. Only limited closedform analytical solutions have been developed for specic geometries, lay-ups, loading, and boundary conditions [119].…”

Section: Introductionmentioning

confidence: 99%

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Identification of the local stiffness reduction of a damaged composite plate using the virtual fields method

Kim

Pierron

Wisnom

et al. 2007

Composites Part A: Applied Science and Manufacturing

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For the purpose of returning to Earth And I do not call one a Brahmana on account of his birth or of his origin from (a particular) mother; (but) the one who is possessed of nothing and seizes upon nothing, him I call a Brahmana.The man who is free from anger, endowed with (holy) works, virtuous, without desire, subdued, and wearing the last body (antimasarira), him I call a Brahmana.The man who is not hostile amongst the hostile, who is peaceful amongst the violent, not seizing (upon anything) amongst those that seize (upon everything), him I call a Brahmana.Whosoever has passed over this quagmire dicult to pass, (who has passed over) revolution (samsara) and folly, who has crossed over, who has reached the other shore, who is meditative, free from desire and doubt, calm without seizing (upon anything), him I call a Brahmana. Sutta Nipata, Book 3, Chapter 9 AcknowledgementsThis thesis is the record of my four years' exploration into a new world and myself.

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An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks

Liu

Zhang

2014

Numerical Meth Engineering

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For the delamination and matrix crack prediction of composite laminated structures, the methods based on the damage mechanics and fracture mechanics are most commonly used. However, there are very few methods that can accurately simulate the delaminations together with matrix cracks, although the in-plane matrix cracks always exist alongside the delaminations under impact loading. In this work, an extended layerwise method is developed to model the composite laminated beam with multiple delaminations and matrix cracks. In the displacement field, the nodes in the thickness direction are located at the middle surface of each single layer, the top surface and the bottom surface of the composite beams. The displacement field contains the linear Lagrange interpolation functions, the one-dimensional weak discontinuous function and strong discontinuous function. The strong and weak discontinuous function are applied to model the displacement discontinuity induced by delaminations and the strain discontinuity induced by the interface between the layers, respectively. Because the nodes in the thickness direction are located at the middle surface of each single layer, the extended layerwise method can be conveniently employed to deal with the in-plane matrix cracks combined with the extend FEM. Figure 1. Typical matrix cracks and delaminations pattern resulted from low impact [12].delamination by macro-scopic damage initiation criteria, such as Choi-Wu [6,7] and Hashin criteria [22,23]. The cumulative effect of delamination can be described by the material degradation models at failure material point. The implementation of the damage mechanics methods is very simple. Because the damage is incorporated within the constitutive model, the damage mechanics methods are easily adapted to numerical approaches such as the FEM. But the real extension process of delamination can not be observed in the damage mechanics methods. In the fracture mechanics methods, linear elastic fracture mechanics (LEFM) is commonly applied for the problem of delamination. Although the fracture mechanics predictions for metallic materials has been widely adopted because of its relative simplicity and accuracy, it is not true for the delamination problem of composite laminates. LEFM is only suited to bonded composite where a realistic de-bonded defect can be defined and the loads produce a uniform linear strain regime. The cohesive fracture model addresses some of the limitations of LEFM, such as the material softening at the crack front and the damage initiation of the delamination in monolithic composites. For the fracture mechanics, the sensitivity to mesh shape still exists and will limit the applicability to the impact problems when used in conjunction with current nonadaptive FE methods. The primary advantage of the fracture mechanics methods is that fracture mechanics concepts can be readily incorporated, such as critical energy release rate. However, the adaptation of the fracture mechanics methods to FEA is somewhat more complicated, because it...

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A general theory for laminated plates with delaminations

Cited by 77 publications

References 15 publications

The Effects of Shear on Mode II Delamination

The Effects of Shear on Mode II Delamination

Identification of the local stiffness reduction of a damaged composite plate using the virtual fields method

An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks

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