Study on the compressive strength of laminated composite with through-the-width delamination

doi:10.1016/S0263-8223(98)00015-4

Composite Structures

Volume 41, Issues 3–4, March–April 1998, Pages 229-241

https://doi.org/10.1016/S0263-8223(98)00015-4 Get rights and content

Abstract

A nonlinear finite element code, DELAM3D, with a three-dimensional layered solid element based on the updated Lagragian formulation, is developed to simulate the compressive response of a laminated composite plate with multiple delaminations. An analytical model is established to characterize the mechanical behaviors such as postbuckling, contact of the delaminating interface, delamination growth and fiber-matrix failure. Double cantilever beam (DCB) and end notched flexure (ENF) tests, with T300/976 graphite/epoxy, are performed to verify the energy release rate of the material. Experiments with various crack numbers, sizes, locations and layer orientations have been conducted and compared with the numerical solution. Good agreement is expected.

Reference (9)

ChaiH et al.
One dimensional modeling of failure in laminated plates by delamination buckling
International Journal of Solids and Structures
(1981)
CochelinB et al.
A numerical model for buckling and growth of delamination in composite laminates
Composite Methods in Applied Mechanics and Engineering
(1991)
KutluZ et al.
Modeling compression failure of laminated composites containing multiple through-the-width delaminations
Journal of Composite Materials
(1992)
RybicklEF et al.
A finite element calculation of stress intensity factors by modified crack closure integral
Engineering Fracture Mechanics
(1997)

There are more references available in the full text version of this article.

Cited by (11)

Global stiffness determination of a cross-ply laminated composite plate with distributed delaminations and matrix cracks and its application
2020, Composite Structures
Citation Excerpt :
A representative volume element of a random glass fiber composite is employed to analyze microscale damage mechanisms, such as matrix cracking and fiber–matrix interfacial debonding. In Lee et al. [8] a nonlinear finite element code, DELAM3D, with a three-dimensional layered solid element based on the updated Lagrangian formulation, is developed to simulate the compressive response of a laminated composite plate with multiple delaminations. An analytical model is established to characterize the mechanical behaviour such as postbuckling, contact of the delaminating interface, delamination growth and fiber–matrix failure.
This paper is focused on a global stiffness method for cross-ply laminated composite plates with distributed delaminations and matrix cracks that makes it possible to find its solution by simply replacing stiffness quantities in the known solution for the undamaged counterpart.
Local and zero stiffness model are introduced to determine the local stiffness in damaged regions and using the energy functional expression based on the first-order shear deformation theory (FSDT) and the classic laminate theory (CLT), the global stiffness is analytically determined by combining stiffness terms in undamaged and damaged regions with corresponding area ratio weights.
The obtained global stiffness is used to analyse bending and buckling problem of a simply supported plate with distributed delaminations and matrix cracks subjected to in-plane and transverse loads, being validated through ANSYS simulation.
Determination of local stiffness of a cross-ply composite plate with delaminations and matrix cracks
2018, Composite Structures
Citation Excerpt :
A representative volume element of a random glass fiber composite was employed to analyze microscale damage mechanisms, such as matrix cracking and fiber-matrix interfacial debonding. In Lee et al. [24] a nonlinear finite element code, DELAM3D, with a three-dimensional layered solid element based on the updated Lagrangian formulation, was developed to simulate the compressive response of a laminated composite plate with multiple delaminations. An analytical model was established to characterize the mechanical behaviors such as postbuckling, contact of the delaminating interface, delamination growth and fiber-matrix failure.
This paper studies the local stiffness determination method in cracked regions to apply continuum mechanics to the cross-ply composite plate with delaminations and matrix cracks, subjected to transverse and in-plane loads.
The plate is divided into adequate regions according to crack distribution density and then strain energy in each element (region) is computed from complementary energy by cracks in that element. Matrix cracks are of the mode I, II, III and thus corresponding stress intensity factors are calculated. The stiffness of element in the cracked region, i.e. the local stiffness is determined from the Green’s theorem using the obtained strain energy.
The simply supported cross-ply composite plate with matrix cracks and delaminations under transverse and in-plane loads is analyzed by using the obtained local stiffness in the ANSYS APDL. The availability of the proposed method based on crack modeling and local stiffness is evaluated through comparison.
Effects of multiple delaminations on the compressive, tensile, flexural, and buckling behaviour of E-glass/epoxy composites
2016, Composites Part B: Engineering
Citation Excerpt :
Lee et al. [29] compared the compressive behaviour of single and double through-the-width delaminated composites. Their results showed that the compressive behaviour of double delaminated composites was more complicated than that of single delaminated composites and the delamination position in thickness direction affects the load carrying capacity of the composite structures [29]. Most studies involve one or two embedded artificial delaminations.
The goal of this study is to investigate the effect of multiple delaminations on the compressive, tensile and flexural strength of E-glass/epoxy composites and to evaluate their effects on the first critical buckling and re-buckling loads. Artificial delaminations of different sizes were inserted into four interlayers of [45°₂/0°₂/−45°₂/90°₂]_s oriented E-glass/epoxy composite using a hand lay-up method and a hot press. The effects of through-the-width strip, circular and peanut shaped delaminations and triangle and inverted triangle patterned delaminations through the thickness direction were investigated experimentally. According to the results, the presence of multiple large delaminations influences the compressive and flexural strength and critical buckling load significantly. However, tensile strength is less affected by multiple delamination.
A nonlocal lattice particle model for fracture simulation of anisotropic materials
2016, Composites Part B: Engineering
A novel nonlocal lattice particle model for fracture simulation of anisotropic materials is proposed. The key idea is to handle material anisotropy by rotating topological lattice structure rather than transforming material stiffness matrix. One major advantage of this model is that the crack path preference of anisotropic materials is naturally incorporated by underlying lattice structure. First, analytical derivation and formulation of the proposed model are given. The equivalency of lattice structure rotation and stiffness transformation is discussed. Following this, numerical examples are used to demonstrate the modeling capability of proposed methodology. Discussions and future work are given based on the current investigation.
Numerical simulation of delamination in laminated composite components - A combination of a strength criterion and fracture mechanics
2009, Composites Part B: Engineering
An approach for the numerical treatment of delamination in laminated composite components is presented. A first ply failure criterion is employed to predict delamination initiation, while delamination propagation is analyzed using linear elastic fracture mechanics. The combination of initiation and propagation criteria yields a conservative estimation of the load earring capacity of a structure. Furthermore, the growth stability, the sensitivity of the results with respect to a change in the interface properties, and the non-linear structural response caused by the delamination growth process are determined. Two structures are investigated, which show the capability of the proposed approach, a curved laminate and a double lap shear test specimen.
A semi-analytical model for the simulation of delamination in laminated composites
2008, Composites Science and Technology
A semi-analytical model for the simulation of delamination in laminated composite components is presented. Two well-established approaches are combined in a way to use their specific advantages. The Griffith crack growth criterion is used in order to predict the load required to propagate the delamination, the growth direction, and the growth stability. The compliance functions used in the criterion are evaluated numerically, the finite element method is applied for this purpose. The proposed model allows to treat non-linear structural behavior, including snap-through and snap-back behavior, in a computational efficient way. Furthermore, the influence of size and position of a delamination on the structural response can be investigated in detail. In order to show the capabilities of the proposed approach an L-shaped laminated structure is analyzed with respect to various aspects of its delamination behavior.

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Study on the compressive strength of laminated composite with through-the-width delamination

Abstract

International Journal of Solids and Structures

Composite Methods in Applied Mechanics and Engineering

Modeling compression failure of laminated composites containing multiple through-the-width delaminations

Journal of Composite Materials

A finite element calculation of stress intensity factors by modified crack closure integral

Engineering Fracture Mechanics