A scaled framework for strain rate sensitive structures subjected to high rate impact loading

Sadeghi, Hamed; Davey, Keith; Darvizeh, Rooholamin; Darvizeh, A.

doi:10.1016/j.ijimpeng.2018.11.008

Cited by 59 publications

(92 citation statements)

References 22 publications

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“…The material distortion for the difference of density, yield stress and strain-rate-sensitivity between scaled model and prototype can also be compensated by increasing one more number and one more basic factor into the VSG system, where and were structure mass and density, respectively (Mazzariol, et al, 2016). The solutions of material distortion, further including material strain hardening effects, were verified by a group of transport equations of the continuum mechanics in the work of Sadeghi, et al (2019a;. In addition, a new technique -adding extra mass to correct the density of structure, was proposed to compensate the non-scalability of gravity and material strain-rate-sensitivity (Jiang et al, 2016;Wei and Hu, 2019).…”

Section: Introductionmentioning

confidence: 91%

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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Section: Introductionmentioning

confidence: 91%

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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“…Special Servo hydraulic Frames, Gleeble 100- 10 3 Split Hopkinson Pressure Bar (in tension) 10 4 Expanding Ring >10 5 Flyer Plate…”

Section: <01mentioning

confidence: 99%

“…Special Servo-hydraulic Frames 10- 10 3 Torsional Impact 100- 10 4 Split Hopkinson Pressure Bar (in torsion) 10 3 -10 4 Double-notch Shear and Punch 10 4 -10 7 Pressure-shear Plate Impact…”

Section: <01 Conventional Shear Tests 01-100mentioning

confidence: 99%

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Structure–Property Correlation and Constitutive Description of Structural Steels during Hot Working and Strain Rate Deformation

Prusty

Banerjee

2020

Materials

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The behaviour of plain carbon as well as structural steels is qualitatively different at different regimes of strain rates and temperature when they are subjected to hot-working and impact-loading conditions. Ambient temperature and carbon content are the leading factors governing the deformation behaviour and substructural evolution of these steels. This review aims at investigating the mechanical behaviour of structural (or constructional) steels during their strain rate (ranging from very low to very high) as well as hot-working conditions and subsequently establishing the structure–property correlation. Rate-dependent constitutive equations play a significant role in predicting the material response, particularly where the experiments are difficult to perform. In this article, an extensive review is carried out on the merits and limitations of constitutive models which are commonly used to model the deformation behaviour of plain carbon steels.

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“…Some different materials behaved good similarity, while others had significant errors [19]. A more comprehensive consideration for distortion of the different materials further including strain-hardening effects, temperature effects and failure are developed by Sadeghi et al [21,22], and a fixed strain and strain-rate window instead of the average strain and strain-rate was used to simplify the previous indirect difficulty. However, this method can only provide inexact prediction ability and usually result in obvious errors for similarity.…”

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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A scaled framework for strain rate sensitive structures subjected to high rate impact loading

Cited by 59 publications

References 22 publications

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

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

Structure–Property Correlation and Constitutive Description of Structural Steels during Hot Working and Strain Rate Deformation

Material similarity of scaled models

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