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Study on the prediction method of onset and propagation of damage of unit composite lattice structure

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Abstract

The progressive failure behavior of a unit composite lattice structure under compressive load was predicted using cohesive zone model (CZM). Mode I, II and mixed mode I/II interlaminar fracture toughness tests were conducted to obtain a set of cohesive zone parameters. To predict failure behavior through numerical analysis, a FEM was generated by considering the three problems of composite lattice structure: differences in the fiber volume fraction, discontinuity in mechanical properties, and generation of wedge-shaped resin rich parts. To select the position of cohesive elements, first numerical analysis was performed, and cohesive elements were applied to the layer with the highest failure index of quadratic nominal stress criterion. The results of numerical analysis with cohesive element were well matched with the test result. These results showed that CZM based numerical analysis method is an effective way to predict and evaluate the onset and growth of progressive failure of unit composite lattice structure.

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Abbreviations

a :

Crack length

a c :

Distance between hoop ribs

a h :

Distance between helical ribs

b :

Width of the specimen

c :

Lever length

E f :

Fiber modulus

E L :

Longitudinal direction modulus

E m :

Matrix modulus

E T :

Transverse direction modulus

G I :

Mode I energy release rate

G II :

Mode II energy release rate

G Ic :

Critical energy release rate for mode I

G IIC :

Critical energy release rate for mode II

G C :

Sum of GIC and GIIC

G T :

Total energy release rate

H :

Thickness of lattice structure

h :

Half-thickness of specimen

K :

Cohesive stiffness

L :

Half-span of specimen

L’ :

Length of lattice structure

M :

Mass of lattice structure

N max :

Maximum interlaminar normal tensile strength

P :

Load

R :

Radius of lattice structure

S max :

Maximum interlaminar sliding shear strength

T max :

Maximum interlaminar scissoring shear strength

δ :

Displacement

δ c :

Thickness of hoop rib

δ f :

Cohesive ductility

δ h :

Thickness of helical rib

λ :

Crack length correction parameter

ν f :

Fiber Poisson ratio

ν m :

Matrix Poisson ratio

ρ c :

Density of hoop rib

ρ h :

Density of helical rib

σ n :

Nominal stress in the pure normal direction

ρ s :

Nominal stress in the first shear direction

ρ t :

Nominal stress in the second shear direction

τ i (I = 1, 2, 3):

Interfacial normal or shear tractions for pure mode i

ρ ulf :

Ultimate stress

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Authors and Affiliations

  1. Graduate School of Mechanical Engineering, Hanbat National University, Daejeon, 34158, Korea

    Jae-Moon Im

  2. Department of Mechanical Engineering, Hanbat National University, Daejeon, 34158, Korea

    Kwang-Bok Shin

Authors
  1. Jae-Moon Im
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  2. Kwang-Bok Shin
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Corresponding author

Correspondence to Kwang-Bok Shin.

Additional information

Jae-Moon Im is a Ph.D. candidate in Mechanical Engineering, Hanbat National University, Daejeon, Rep. of Korea. His research interest is in composite materials and structures.

Kwang-Bok Shin is a Professor of Mechanical Engineering, Hanbat National University, Daejeon, Rep. of Korea. His research interest is in composite material, composite structures and CAE.

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Im, JM., Shin, KB. Study on the prediction method of onset and propagation of damage of unit composite lattice structure. J Mech Sci Technol 36, 3081–3088 (2022). https://doi.org/10.1007/s12206-022-0538-3

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  • DOI: https://doi.org/10.1007/s12206-022-0538-3

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