Similarity laws of structures under impact load: Geometric and material distortion

Mazzariol, L.M.; Alves, Marcı́lio

doi:10.1016/j.ijmecsci.2019.05.011

Cited by 51 publications

(24 citation statements)

References 28 publications

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“…Although this method was precise for simple analytical models [17], it had been verified to have significant errors for complex problems of circular tubes axially impact [18]. Mazzariol, et al [19,20] further used the basic correction factor of density to compensate distortion of the different materials in density, and set the average strain-rate to 1 −1 to simplify the previous indirect difficulties. Some different materials behaved good similarity, while others had significant errors [19].…”

Section: Introductionmentioning

confidence: 99%

Material similarity of scaled models

Wang

Zhang

et al. 2021

International Journal of Impact Engineering

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When different strain hardening and strain rate sensitive materials are used for scaled model and prototype, the traditional pure geometrical similarity laws of solid mechanics will fail. Although correcting the basic scaling factors of velocity, density and geometry have been developed to compensate for the material distortion in recent non-geometric scaling works, it is difficult to be widely used because of its inherent indirect (depending on the structural strain and strain rate responses) and inexact (having significant prediction errors for prototype) defects.In this paper, a framework of material similarity, based on the new suggested material dimensionless numbers and the 'Material number vs. strain/strain-rate' function curves, are further developed, which represents the objective requirement of similarity theory for the basic mechanical properties of materials. It is demonstrated what is similitude materials of solid mechanics and how to use the best similitude materials to overcome the non-scalabilities of materials for identical or different materials. The direct and exact solution of the basic correction factors is further obtained and therefore overcomes the previous inherent indirect and inexact defects radically. Based on the similarity evaluation of different materials of the classical

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Section: Introductionmentioning

confidence: 99%

Material similarity of scaled models

Wang

Zhang

et al. 2021

International Journal of Impact Engineering

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“…It is often required and indeed beneficial to allow different materials to be used for full-scale and small-scale experiments. However, only a few studies in impact mechanics have been done trialling scaling methods with different materials for full-scale and small-scale experiments [9][10][11][12][13][14][15]. In refs.…”

Section: Introductionmentioning

confidence: 99%

An investigation into finite similitude for high-rate loading processes: Advantages in comparison to dimensional analysis and its practical implementation

Sadeghi

Davey

Darvizeh

et al. 2020

International Journal of Impact Engineering

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“…Recently, Mazzariol and Alves (2019a; presented a direct method for the geometric distorted structures. In the new method, the velocity-dynamic flow stressstructure mass (VSM) dimensional analysis, instead of the VSG system, was used to express dimensionless numbers as follows: 33 3 3 2 0 4 2 4 3 2 , , , , , , , ,…”

Section: Introductionmentioning

confidence: 99%

Suggestion of a Framework of Similarity Laws for Geometric Distorted Structures Subjected to Impact Loading

Wang¹,

Xu²,

Zhang³

et al. 2020

Preprint

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A framework of similarity laws, termed oriented-density-length-velocity (ODLV) framework, is suggested for the geometric distorted structures subjected to impact loading. The distinct feature of this framework is that the newly proposed oriented dimensions, dimensionless numbers and scaling factors for physical quantity are explicitly expressed by the characteristic lengths of three spatial directions, which overcome the inherent defects that traditional scalar dimensional analysis could not express the effects of structural geometric characteristics and spatial directions for similarity. The non-scalabilities of geometrical distortion as well as other distortions such as different materials and gravity could be compensated by the reasonable correction for the impact velocity, the geometrical thickness and the density, when the proposed dimensionless number of equivalent stress is used between scaled model and prototype. Three analytical models of beam, plate and shell subjected to impact mass or impulsive velocity are verified by equation analysis. And a numerical model of circular plate subjected to dynamic pressure pulse is verified in more detail, form the view of point of space deformation, deformation history and the components of displacement, strain and stress. The results show that the proposed dimensionless numbers have attractively perfect ability to express the dimensionless response equations of displacement, angle, time, strain and strain rate. When the proposed dimensionless numbers are used to regularize impact models, the structural responses of the geometrically distorted scaled models can behave the completely identical behaviors with those of the prototype on space and time —not only for the direction-independent equivalent stress, strain and strain rate but also for the direction-dependent displacement, stress and strain components.

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Similarity laws of structures under impact load: Geometric and material distortion

Cited by 51 publications

References 28 publications

Material similarity of scaled models

Material similarity of scaled models

An investigation into finite similitude for high-rate loading processes: Advantages in comparison to dimensional analysis and its practical implementation

Suggestion of a Framework of Similarity Laws for Geometric Distorted Structures Subjected to Impact Loading

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