Low velocity impact of transversely isotropic beams and plates

Schonberg, William P.; Keer, Leon M.; Woo, Ta Kwan

doi:10.1016/0020-7683(87)90085-0

Cited by 28 publications

(4 citation statements)

References 29 publications

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“…The response is similar to the no-defect specimen presented in Figure 3. The oscillatory nature of the impact force history has also been observed by other researchers [40] and results from the flexural vibration of the beam. APC-2 CNF specimens exhibited similar behavior.…”

Section: Impact Responsementioning

confidence: 69%

Mode II Interlaminar Fracture of the Center Notch Flexural Specimen under Impact Loading

Maikuma

Gillespie

Wilkins

1990

Journal of Composite Materials

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The Mode II interlaminar fracture of unidirectional graphite/epoxy (AS4/2220-3) and graphite/polyetheretherketone (APC-2) composite laminates subjected to impact loading is investigated using the Center Notch Flexural (CNF) test specimen. Experimentally, instrumented impact testing of the CNF specimen enables the impact force history and the absorbed energy during delamination propagation to be estimated. Scanning electron microscopic examination is conducted to assess the influence of impact loading on fracture morphology in the crack initiation and propagation regions of the fracture surface. Data reduction for evaluating the Mode II interlaminar initiation toughness is based upon beam theory that includes kinetic energy effects and dynamic finite element analysis of the specimen in conjunction with virtual crack closure techniques. The initiation toughness under impact loading was approximately 20 and 28% lower than the static values for AS4/2220-3 and APC-2, respectively. Data reduction for evaluating the Mode II interlaminar propagation toughness is based upon the area method and a 24 and 44% reduction in fracture toughness is measured for the AS4/2220-3 and APC-2 composite materials, respectively.

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Section: Impact Responsementioning

confidence: 69%

Mode II Interlaminar Fracture of the Center Notch Flexural Specimen under Impact Loading

Maikuma

Gillespie

Wilkins

1990

Journal of Composite Materials

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“…The Fourier transform technique has been applied to a range of beam-like contact problems (Schonberg et al, 1987;Keer and Schonberg, 1986;Keer and Silva, 1972) of which it clearly represents the definitive solution. However, its use demands a significant familiarity with dual integral equations and the final calculation still involves a numerical solution.…”

Section: Finite Element Solutionsmentioning

confidence: 99%

Contact problems involving beams

Kim

Ahn

Jang

et al. 2014

International Journal of Solids and Structures

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a b s t r a c tElastic contact problems involving Euler-Bernoulli beams or Kirchhoff plates generally involve concentrated contact forces. Linear elasticity (e.g. finite element) solutions of the same problems show that finite contact regions are actually developed, but these regions have dimensions that are typically of the order of the beam thickness. Thus if beam theory is appropriate for a given structural problem, the local elasticity fields can be explored by asymptotic methods and will have fairly general (problem independent) characteristics. Here we show that the extent of the contact region is a fixed ratio of the beam thickness which is independent of the concentrated load predicted by the beam theory, and that the distribution of contact pressure in this region has a universal form, which is well approximated by a simple algebraic expression.

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“…(1) the projectile was rebounded at time of 2.25-4.25 ms (refer to the analytical work by Schonberg et al (1987)); (2) the average deceleration a before the projectile stops going ahead in the tests ranged from 1166g to 3184g, while the average impact force applied on the beam during the period, F , ranged from 0.74 Table 5 Effect of increasing impact velocity: Test Set 4 (Projectile: S1b, S1c) to 2.00 kN; if calibrated more precisely, the variation history with time of the deceleration of the projectile and impact force applied on the beam could be calculated from the displacements measured from the successive photographs; (3) with the increase of energy ratio R ¼ K 0 =U e max (here K 0 ¼ GV 2 0 =2 with G being mass of the projectile is the kinetic energy of the projectile before impact and U e max ¼ M 2 0 ð2LÞ=2EI ¼ 2:40 J is the maximum energy that the beam can store elastically), a larger portion of the projectile's initial kinetic energy was absorbed by the beam. For example, 95% of K 0 was absorbed by the beam if R > 5.…”

Section: High-speed Digital Video Photographymentioning

confidence: 99%

An experimental study of pre-notched clamped beams under impact loading

Chen

2004

International Journal of Solids and Structures

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Low velocity impact of transversely isotropic beams and plates

Cited by 28 publications

References 29 publications

Mode II Interlaminar Fracture of the Center Notch Flexural Specimen under Impact Loading

Mode II Interlaminar Fracture of the Center Notch Flexural Specimen under Impact Loading

Contact problems involving beams

An experimental study of pre-notched clamped beams under impact loading

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