Multi-particle modelling for the prediction of delamination in multi-layered materials
TL;DR: In this article, a laminate theory which considers a kinematic field per layer (particle) is used to approach the three-dimensional stress state in multi-layered composites, and some relevant criteria able to predict delamination initiation in some angle-ply laminates based on the model results.
About: This article is published in Composites Science and Technology.The article was published on 2006-05-01. It has received 56 citations till now. The article focuses on the topics: Delamination & Linear elasticity.
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TL;DR: Lebee and Sab as mentioned in this paper proposed the Bending-Gradient plate theory for out-of-plane loaded thick plates where the static unknowns are those of the Kirchhoff-love theory (3 in-plane stresses and 3 bending moments), to which six components are added representing the gradient of the bending moment.
70 citations
Cites methods from "Multi-particle modelling for the pr..."
...Based on the variational formulation from Pagano (1978), it treats each layer as a Reissner-Mindlin plate and enforces stress continuity conditions (Naciri et al., 1998; Diaz Diaz et al., 2001; Hadj-Ahmed et al., 2001; Caron et al., 2006; Diaz Diaz et al., 2007; Dallot and Sab, 2008)....
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TL;DR: In this paper, the authors present an overall review for the layerwise theories of the laminated composite structures and their applications, and present two basic schemes employed to establish a LWT according to the construction of the displacements fields in the thickness direction.
Abstract: It is very challenging to accurately analyze the displacement and stress fields in the laminated composite structures due to the transverse anisotropy and higher transverse flexibilities. The equivalent single-layer theory (EST) is first developed to simplify this complex 3D problem to a pure 2D problem based on a displacement assumption in the thickness direction. The EST gives good results for the global responses of the very thin laminates with minimum computation cost, but poor results for the local responses at the interfaces and can not presents the zig-zag distribution of in-plane displacements. The elasticity solutions based on the 3D displacement-based finite element method (FEM) can present the accurate displacement and stress fields, but requires huge computational cost. As a quasi 3D method, the layerwise theories (LWT) is more accurate than most of the ESTs, and its computational cost is less than that of the 3D-based displacement FEMs, so it is attracting more and more attention with the rapid development of computer technology. This paper presents an overall review for the LWTs of the laminated composite structures and their applications. In general, there are two basic schemes employed to establish a LWT according to the construction of the displacements fields in the thickness direction. In the first scheme, the laminated composite structures are described as an assembly of individual layers, and these individual layers are combined by the interlaminar relationships to keep the displacement continuity and stress equilibrium. All of the individual layers are simulated by using the EST. In the second scheme, the displacement and/or stress fields along the thickness direction are constructed by a 1D interpolation functions and the in-plane displacement and/or stress fields are discretized by the 2D finite elements. The review in this paper is organized by the this classification.
63 citations
TL;DR: In this article, a multi-particle finite element for free edge effect analysis in laminated composites is applied for general laminated and is shown to be capable of simultaneously predicting global and local responses.
55 citations
TL;DR: Lebee and Sab as mentioned in this paper presented a new plate theory called Bending-Gradient plate theory for out-of-plane loaded thick plates where the static unknowns are those of the Kirchhoff-love theory (3 in-plane stresses and 3 bending moments), to which six components are added representing the gradient of the bending moment.
55 citations
Cites background from "Multi-particle modelling for the pr..."
...…refer to Reddy (1989) and Carrera (2002) for detailed reviews of kinematic approaches and to (Naciri et al., 1998; Diaz Diaz et al., 2001; Hadj-Ahmed et al., 2001; Caron et al., 2006; Diaz Diaz et al., 2007; Dallot and Sab, Preprint submitted to Elsevier April 26, 2011 2008) for static approaches....
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TL;DR: In this paper, the authors present a method to compute the response of a viscoelastic layered half-space to a moving load when interlayer slip is considered, using the Navier equations of equilibrium for each layer in the frequency domain.
50 citations
References
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TL;DR: In this article, the authors investigated the modulus of the singular behavior of the stress remains proportional to the inverse square root of the distance from the point of the crack, but the stresses possess a sharp oscillatory character of the type r^(-1/2) sin (b log r), which seems to be confined quite close to the point, as well as a shear stress along the material joint line.
Abstract: In order to investigate some problems of geophysical interest, the usual consideration of symmetrical or antisymmetrical loading of an isotropic homogeneous plate containing a crack was extended to the case where the alignment of the crack separates two separate isotropic homogeneous regions. It develops that the modulus of the singular behavior of the stress remains proportional to the inverse square root of the distance from the point of the crack, but the stresses possess a sharp oscillatory character of the type r^(-1/2) sin (b log r), which seems to be confined quite close to the point, as well as a shear stress along the material joint line as long as the materials are different.
The off-fault areas of high strain energy release reported by St. Amand for the White Wolf fault are qualitatively shown to be expected.
1,307 citations
Book•
01 Jan 1995
TL;DR: Fracture Mechanics: Fundamentals and Applications, Fourth Edition as discussed by the authors is the most useful and comprehensive guide to fracture mechanics available and has been adopted by more than 150 universities worldwide and used by thousands of engineers and researchers.
Abstract: Fracture Mechanics: Fundamentals and Applications, Fourth Edition is the most useful and comprehensive guide to fracture mechanics available. It has been adopted by more than 150 universities worldwide and used by thousands of engineers and researchers. This new edition reflects the latest research, industry practices, applications, and computational analysis and modeling. It encompasses theory and applications, linear and nonlinear fracture mechanics, solid mechanics, and materials science with a unified, balanced, and in-depth approach. Numerous chapter problems have been added or revised, and additional resources are available for those teaching college courses or training sessions. Dr. Anderson’s own website can be accessed at www.FractureMechanics.com.
1,142 citations
Book•
01 Jan 1997
TL;DR: The What and Why of Fibrous Composites as mentioned in this paperibrous composites have been studied extensively in the literature, e.g., in the context of solid mechanics and 3-dimensional constitutive equations.
Abstract: The What and the Why of Fibrous Composites. Concepts of Solid Mechanics. 3--D Constitutive Equations. Plane Stress Constitutive Equations. Lamination Theory. Test Methods. Material Response. Interlaminar Stresses. Failure and Damage. Laminated Tubes. Micromechanics. Appendices. Indexes.
896 citations
817 citations
702 citations