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Finite Element Modeling of Dynamic Failure of Composite Laminates Under Transverse Tensile Loading

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Abstract

In this paper, the dynamic failure of unidirectional E-glass/epoxy composite laminates under transverse tensile loading was investigated using finite element numerical simulation. The 3D Hashin failure criteria were used to estimate the fiber and matrix damage initiation. The composite modulus and failure strain considered the strain rate effects. The cohesive behavior was applied to describe the delamination failure between different composite layers. This model was implemented in the finite element code (Abaqus/Explicit) by a user-defined material subroutine. The numerical results illustrate that the prediction of damage surface, transverse modulus, tensile strength, and failure strain is in good agreement with published experimental results. Then, the delamination of each interface at strain rate of 45.48 s−1 was studied. Finally, the effects of the strain rate on the transverse modulus and tensile failure strain at different strain rates were output, and the strain rate dependence of modulus and failure strain was discussed and investigated.

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Abbreviations

\(\sigma_{ij}\) (i, j = 1, 2, 3):

Stress tensor

\(\varepsilon_{ij}\) (i, j = 1, 2, 3):

Strain tensor

C ij (i, j = 1–6):

Elastic constant

E ii (i = 1, 2, 3):

Young’s modulus

G ij (i, j = 1, 2, 3, i ≠ j):

Shear modulus

\(\nu_{ij}\) :

(i, j = 1, 2, 3, i ≠ j) Poisson’s ratio

\(\varepsilon_{11}^{T}\) :

Tensile failure stain in the fiber direction

\(\varepsilon_{11}^{\text{C}}\) :

Compressive failure strain in the fiber direction

\(\varepsilon_{22}^{\text{T}}\) :

Tensile failure strain in the transverse direction

\(\varepsilon_{22}^{\text{c}}\) :

Compressive failure strain in the transverse direction

\(\varepsilon_{ij}^{\text{f}}\) (i, j = 1, 2, 3, i ≠ j):

Shear failure strain

\(f_{\text{ft}}\), \(f_{\text{fc}}\), \(f_{\text{mt}}\), \(f_{\text{mc}}\) :

Damage coefficient

E RT :

Modulus considering strain rate effects

\(S_{\text{RT}}\) :

Failure strain considering strain rate effects

\(S_{0}\) :

Static failure strain

\(\dot{\varepsilon }_{0}\) :

Reference strain rates

\(\dot{\varepsilon }_{{}}\) :

Strain rates

a S, b S, c S :

Material parameters related to strain rate dependence of failure strain

a E, b E :

Material parameters related to strain rate dependence of modulus

t :

Cohesive traction stress vector

\(\bf \delta\) :

Separation displacement vector

\(G_{\text{n}}^{\text{c}}\), \(G_{\text{s}}^{\text{c}}\), \(G_{\text{t}}^{\text{c}}\) :

Critical fracture energies

G n, G s, G t :

Fracture energies

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  1. Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Liaoning, China

    Tengfei Liu

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Liu, T. Finite Element Modeling of Dynamic Failure of Composite Laminates Under Transverse Tensile Loading. J Fail. Anal. and Preven. 21, 228–240 (2021). https://doi.org/10.1007/s11668-020-01053-y

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