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The influence of material shear nonlinearity on predictive failure envelopes of multidirectional laminates

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Abstract

In present study, laminates with the type of [±θ°]S and [0°2/±θ°]S are investigated in order to clearly show the effect of material shear nonlinearity, and then theoretical predictions are compared with experimental data. In the whole process of generating failure envelopes, secant shear modulus instead of initial shear modulus is used for accurate shear stress-strain relation. The modulus values are recalculated every time when the combining load is changed. Final failure envelopes are then compared between numerical models. It is found that the variation in the size of safe regions from nonlinear analysis is closely related to the way of combing load and fiber directions. So in the process of improving failure theories or in the applications of failure theories, the effect of material nonlinearity can be considered appropriately.

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Abbreviations

FF, MF, SF :

Fiber failure, matrix failure, shear failure

XT, XC :

Longitudinal tensile strength, compressive strength

YT, YC :

Transverse tensile strength, compressive strength

S :

In-plane shear strength

L, NL :

Linear analysis, nonlinear analysis

R ⊥⊥ A :

Fracture resistance against the fracture

p⊥⊥(+),p⊥⊥− :

Inclination parameters of (σn, τnt)σn=0 fracture curves

p⊥‖(+), p⊥‖(-) :

Inclination parameters of (σn, τnl)σn=0 fracture curves

ηr:

Residual stiffness

c, ξ:

Fitting experimental data parameters

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Authors and Affiliations

  1. Department of Mechanical Engineering, Hanyang University, Ansan, 15588, Korea

    Hongli Jia & Hunbong Lim

  2. Department of Mechanical Design, Hanyang University, Ansan, 15588, Korea

    Hyun-Ik Yang

  3. Department of Mechanical Engineering, Konkuk University, Seoul, 143-701, Korea

    Chang Wan Kim

Authors
  1. Hongli Jia
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  2. Hyun-Ik Yang
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  3. Chang Wan Kim
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  4. Hunbong Lim
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Corresponding author

Correspondence to Hyun-Ik Yang.

Additional information

Recommended by Editor Seungjae Min

Hyun-Ik Yang, Ph.D., is a Professor in the Dept. of Mechanical Engineering of College of Engineering Science ERICA Hanyang University. He received Ph.D. in Mechanical Engineering from Columbia University in the City of New York. His research interests include mechanical system design, CAD/mesh generation and hydrogen generation.

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Jia, H., Yang, HI., Kim, C.W. et al. The influence of material shear nonlinearity on predictive failure envelopes of multidirectional laminates. J Mech Sci Technol 34, 1645–1653 (2020). https://doi.org/10.1007/s12206-020-0327-9

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  • DOI: https://doi.org/10.1007/s12206-020-0327-9

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