Experimental verification of similarity laws for impacted structures made of different materials

Mazzariol, L.M.; Alves, Marcı́lio

doi:10.1016/j.ijimpeng.2019.103364

Cited by 20 publications

(13 citation statements)

References 27 publications

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“…Thus, it is necessary for developed-scaling theories to be able to account for different material properties pertinent to impact mechanics, which includes density, initial-yield stress, and hardening and strain-rate sensitivity. Despite this requirement, only a few studies have been conducted in the area of impact mechanics that account for different materials and their property differences [11][12][13][14][15]. The study presented in refs.…”

Section: Introductionmentioning

confidence: 99%

“…Best results were returned in refs. [11,14] for experimental tests on circular plates in which the response behaviour of full-scale plate was predicted with good accuracy using small-scale plates made of same and different materials [15]. The principal difficulty with all the methods discussed thus far is that dimensional analysis provides the underpinning theory, which itself is founded on an invariance principle, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…In physical terms Eqs. (16a) and (16b) are attempting to compensate for the differences in mass of the full-scale and trial models as a consequence of the choice made in Eqs (15),. which is achieved by correcting the trial-striking masses.…”

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confidence: 99%

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A Finite Similitude Approach to Scaled Impact Mechanics

Davey

Sadeghi

Darvizeh

et al. 2021

International Journal of Impact Engineering

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The response characteristics of large-scale structures subjected to impact loading can in principle be determined by scaled experiments. Unfortunately, scaling suffers from scale effects and for impact mechanics, the non-scalability of strain rate and strain hardening can diminish the effectiveness of scaled trials. To resolve this difficulty, a new scaling method has recently appeared in the open literature called finite similitude. The theory is founded on the metaphysical concept of space scaling, where the idea is that by expanding or contracting space, changes in the governing mechanics can be assessed.In this paper the finite-similitude theory is further developed, where it is demonstrated how the constraints imposed by dimensional analysis can be broken. A new form of similarity is introduced but at the cost of requiring two scaled experiments at distinct scales. It is shown however, how the theory is able to combine the information from the two scaled trials to predict outcomes that can be markedly superior to what can be achieved with experiments at a single scale. All scale dependencies are accounted by the theory and consequently the new formulation attempts to capture scale effects, so provides a more realistic approach to scaled experimentation.Unlike dimensional analysis, the new first-order finite similitude theory can simultaneously target two independent physical properties of common dimension (e.g. initial-yield stress and linear strain hardening). The advantage offered by this feature is demonstrated analytically and numerically in the paper with a focus on axisymmetrical tube buckling and energy absorption. The analytical model serves to expound the theory and the numerical highlights its capabilities and the kinds of accuracy achievable with the new approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Finite Similitude Approach to Scaled Impact Mechanics

Davey

Sadeghi

Darvizeh

et al. 2021

International Journal of Impact Engineering

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“…The ever-increasing accuracy and effectiveness of computational modelling has undoubtedly impacted on the type and nature of experiments performed. Scaling is widely applied in different areas of engineering, for example in structural failure and fracture [1][2][3][4], structural impact [5][6][7][8], explosion engineering [9][10] and thermofluids [11]. A reliable computational model can often replace experiments altogether but in addition it can supplement scaled experimentation.…”

Section: Introductionmentioning

confidence: 99%

Finite similitude in fracture mechanics

Davey

Darvizeh

Zhang

2021

Engineering Fracture Mechanics

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“…Li et al (Y. Li, Zhang, & Xue, 2008) studied the similarity law of bird strike for purpose of the small-scale experiment to replace a full-scale one. Mazzariol and Alves (Mazzariol & Alves, 2019a, 2019b recently developed comprehensive framework of similarity laws for relating scaled models to prototypes under impact loads.…”

Section: Introductionmentioning

confidence: 99%

Impact responses of slender composite plates for bird-strike testing of fan blades

Zhou

Sun

Huang

2019

Lat. Am. j. solids struct.

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Bird-strike failure of fan blades is one of the basic challenges for the safety of aircraft engines. Simplified slender blade-like plates are always used to evaluate the impact-induced damage mechanism at design stage. One undesirable issue is the failure at the root of clamped slender plates, which cannot recover the real case of twisted blades. For this purpose, three different strategies were exploited to obtain desirable deformation and stress responses, namely the impact location, additional weight, and the boundary condition. Numerical models of the simplified slender blade and the bird projectile were constructed by using finite element method (FEM) and smoothed particle hydrodynamics (SPH) approaches. The impact deformations and stress distributions were comparatively investigated in detail. The numerical results show that changing the boundary condition is the most effective way to obtain preferable impact responses for further failure analysis of real fan blades. Present results will be useful to future experimental design of simplified bird-strike testing.

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Experimental verification of similarity laws for impacted structures made of different materials

Cited by 20 publications

References 27 publications

A Finite Similitude Approach to Scaled Impact Mechanics

A Finite Similitude Approach to Scaled Impact Mechanics

Finite similitude in fracture mechanics

Impact responses of slender composite plates for bird-strike testing of fan blades

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