Variational Approximate and Mixed-Finite Element Solution for Static Analysis of Laminated Composite Plates

Madenci, Emrah; Özütok, Atilla

doi:10.4028/www.scientific.net/ssp.267.35

Cited by 18 publications

(16 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Specifically, the above-mentioned stiffness degradation law, damage initiation, and damage evolution are implemented using a VUMAT subroutine while the delamination damage is modeled by defining cohesive surface contacts between adjacent laminate plies. Note that finite element methods have been widely adopted for analyses of mechanics of composite laminates [ 56 , 57 ].…”

Section: Low Velocity Impact Model For Cfrp Composite Laminatesmentioning

confidence: 99%

Auxetic Composite Laminates with Through-Thickness Negative Poisson’s Ratio for Mitigating Low Velocity Impact Damage: A Numerical Study

Wang

2022

Materials

View full text Add to dashboard Cite

Auxetic materials are those that exhibit negative Poisson’s ratios. Such a unique property was shown to improve the indentation and impact resistances. Angle-ply composite laminates can be designed to produce negative Poisson’s ratio at the laminate level due to the large anisotropicity of the individual layer and the strain mismatch between adjacent layers. This paper investigates the effect of through-thickness negative Poisson’s ratio on the low velocity impact behaviors of carbon fiber reinforced polymer matrix composite laminates, including the global impact behaviors, as well as the delamination, and the fiber and matrix damage. Results from numerical investigations show consistently reduced fiber and matrix tensile damage in the auxetic laminate in all plies, in comparison to the non-auxetic counterpart laminates (up to 40% on average). However, the auxetic laminate does not present a clear advantage on mitigating the delamination damage or the matrix compressive damage.

show abstract

Section: Low Velocity Impact Model For Cfrp Composite Laminatesmentioning

confidence: 99%

Auxetic Composite Laminates with Through-Thickness Negative Poisson’s Ratio for Mitigating Low Velocity Impact Damage: A Numerical Study

Wang

2022

Materials

View full text Add to dashboard Cite

show abstract

“…Moreover, the continuous differentiation of material properties prevents discontinuity problems arising in interface regions of composite materials. There are various studies on static analysis of FGMs such as using the mixed type Finite Element Method (FEM) with a functional [1][2][3], various material couples for functionally graded beams using high-order variational FEM [4] and neural networks by FEM [5].…”

Section: Introductionmentioning

confidence: 99%

Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load

Candaş

Öterkuş

İmrak

2021

Engineering with Computers

View full text Add to dashboard Cite

Dynamic crack propagation assessment in functionally graded materials (FGMs) with micro-cracks is accomplished using bond-based Peridynamics (PD). The dynamic fracture behaviour of various FGMs' material models is studied in Kalthoff-Winkler experiment. Dynamic crack growth predictions and associated material damage of the specimen under dynamic loading conditions are considered. The effect of micro-cracks near macro-crack tips on the toughening mechanism is evaluated in terms of crack propagation velocities. Stochastically pre-located micro-cracks are modelled to obtain the toughening effect in the material. Additionally, the velocities and time required for fracture are compared in different FGM cases. It is frankly found that if a crack propagates in the harder region of the specimen, velocities decrease and toughness increase in contrast to the softer region. Furthermore, micro-cracks around a macro-crack decelerate the crack propagation and enhance toughening mechanism in FGM body depending on gradation of material properties.

show abstract

“…However, this type of approximation has experienced a great restriction in the level of domain modelling, especially in the case of complicated boundaries such as that in the form of curvilinear graphs. There are some papers in literature which refer to mixed finite element method that enable to solve problem from several fields of physics, using the Gâteaux differential (Özütok and Madenci, 2013;Özütok and Madenci, 2017;Özütok et al, 2014;Madenci, 2019;Madenci and Özütok, 2017;Madenci and Özütok, 2020).…”

Section: Introductionmentioning

confidence: 99%

The treatment of constraints due to standard boundary conditions in the context of the mixed Web-spline finite element method

Koubaiti

Fakkoussi

El-Mekkaoui

et al. 2021

View full text Add to dashboard Cite

Purpose This paper aims to propose a new boundary condition and a web-spline basis of finite element space approximation to remedy the problems of constraints due to homogeneous and non-homogeneous; Dirichlet boundary conditions. This paper considered the two-dimensional linear elasticity equation of Navier–Lamé with the condition CAB. The latter allows to have a total insertion of the essential boundary condition in the linear system obtained; without using a numerical method as Lagrange multiplier. This study have developed mixed finite element; method using the B-splines Web-spline space. These provide an exact implementation of the homogeneous; Dirichlet boundary conditions, which removes the constraints caused by the standard; conditions. This paper showed the existence and the uniqueness of the weak solution, as well as the convergence of the numerical solution for the quadratic case are proved. The weighted extended B-spline; approach have become a much more workmanlike solution. Design/methodology/approach In this paper, this study used the implementation of weighted finite element methods to solve the Navier–Lamé system with a new boundary condition CA, B (Koubaiti et al., 2020), that generalises the well-known basis, especially the Dirichlet and the Neumann conditions. The novel proposed boundary condition permits to use a single Matlab code, which summarises all kind of boundary conditions encountered in the system. By using this model is possible to save time and programming recourses while reap several programs in a single directory. Findings The results have shown that the Web-spline-based quadratic-linear finite elements satisfy the inf–sup condition, which is necessary for existence and uniqueness of the solution. It was demonstrated by the existence of the discrete solution. A full convergence was established using the numerical solution for the quadratic case. Due to limited regularity of the Navier–Lamé problem, it will not change by increasing the degree of the Web-spline. The computed relative errors and their rates indicate that they are of order 1/H. Thus, it was provided their theoretical validity for the numerical solution stability. The advantage of this problem that uses the CA, B boundary condition is associated to reduce Matlab programming complexity. Originality/value The mixed finite element method is a robust technique to solve difficult challenges from engineering and physical sciences using the partial differential equations. Some of the important applications include structural mechanics, fluid flow, thermodynamics and electromagnetic fields (Zienkiewicz and Taylor, 2000) that are mainly based on the approximation of Lagrange. However, this type of approximation has experienced a great restriction in the level of domain modelling, especially in the case of complicated boundaries such as that in the form of curvilinear graphs. Recently, the research community tried to develop a new way of approximation based on the so-called B-spline that seems to have superior results in solving the engineering problems.

show abstract

Variational Approximate and Mixed-Finite Element Solution for Static Analysis of Laminated Composite Plates

Cited by 18 publications

References 5 publications

Auxetic Composite Laminates with Through-Thickness Negative Poisson’s Ratio for Mitigating Low Velocity Impact Damage: A Numerical Study

Auxetic Composite Laminates with Through-Thickness Negative Poisson’s Ratio for Mitigating Low Velocity Impact Damage: A Numerical Study

Peridynamic simulation of dynamic fracture in functionally graded materials subjected to impact load

The treatment of constraints due to standard boundary conditions in the context of the mixed Web-spline finite element method

Contact Info

Product

Resources

About