Scaling impacted structures

Oshiro, R.E.; Alves, Marcı́lio

doi:10.1007/s00419-004-0343-8

Cited by 71 publications

(50 citation statements)

References 15 publications

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“…In considering the above issues, this article further expands the methodology in Oshiro and Alves (2004) and Alves and Oshiro (in press) to the case where the model is made of a different material from that of the prototype. By so proceeding, it is possible to predict, in an extreme case, the strain rate sensitive prototype behaviour from a non-strain rate sensitive model response.…”

Section: Introductionmentioning

confidence: 95%

“…which clearly varies with the scaling factor, b, and the strain rate, for a given set of material constants, as pointed out by Oshiro and Alves (2004).…”

Section: Introductionmentioning

confidence: 96%

“…Scaling strain rate sensitive structures have recently received attention by the authors (Oshiro and Alves, 2004;Alves and Oshiro (in press)). The authors have applied a simple dimensional analysis, as outlined in Baker et al (1991) and Jones (1989), but using an alternative dimensionless basis to the common MLT (mass, length, time) basis.…”

Section: Introductionmentioning

confidence: 97%

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Scaling impacted structures when the prototype and the model are made of different materials

Alves

Oshiro

2006

International Journal of Solids and Structures

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By properly applying scaling laws, it is possible to infer the behaviour of a structure from the response of a similar model whose dimensions are scaled by a factor b. In some cases, however, e.g. in the case of strain rate sensitive structures under severe dynamic loads, these laws become distorted, severely limiting this approach. In this article, a methodology for the correction of this distortion is explored for the case when the structure and the model are made of different materials. It is shown that the behaviour of a structure, say, made of mild steel, can be forecast from the response of a model, say, made of aluminium. The technique here detailed is shown to be valid for simple structures subject to axial and transverse impact loads.

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Section: Introductionmentioning

confidence: 95%

“…which clearly varies with the scaling factor, b, and the strain rate, for a given set of material constants, as pointed out by Oshiro and Alves (2004).…”

Section: Introductionmentioning

confidence: 96%

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Scaling impacted structures when the prototype and the model are made of different materials

Alves

Oshiro

2006

International Journal of Solids and Structures

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“…Also, Alves and Oshiro (2006a) showed a procedure to obtain the model impact mass for a strain rate sensitive structure such that the model and the prototype behave the same. Alves and Oshiro (2006b) further expanded the methodology in Oshiro and Alves (2004) and Alves and Oshiro (2006a) to the case where the model is made of a different material from that of the prototype. By so proceeding, it is possible to predict, in an extreme case, the strain rate sensitive prototype behaviour from a non-strain rate sensitive model response.…”

Section: Introductionmentioning

confidence: 99%

“…It differs from the Cowper-Symonds equation by one coefficient. Oshiro and Alves (2004) solved the problem of non-scalability of structures under impact loads caused by strain rate effects by suggesting a methodology by properly changing the impact or blast velocity in a way that models and prototypes follow the scaling laws. Also, Alves and Oshiro (2006a) showed a procedure to obtain the model impact mass for a strain rate sensitive structure such that the model and the prototype behave the same.…”

Section: Introductionmentioning

confidence: 99%

Effects of the Strain Rate Sensitivity and Strain Hardening on the Saturated Impulse of Plates

Zhu

Chen

et al. 2017

Lat. Am. j. solids struct.

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This paper studies the stiffening effects of the material strain rate sensitivity and strain hardening on the saturated impulse of elastic, perfectly plastic plates. Finite element (FE) code ABAQUS is employed to simulate the elastoplastic response of square plates under rectangular pressure pulse. Rigid-plastic analyses for saturated impulse, which consider strain rate sensitivity and strain hardening, are conducted. Satisfactory agreement between the finite element models (FEM) and predictions of the rigid-plastic analysis is obtained, which verifies that the proposed rigid-plastic methods are effective to solve the problem including strain rate sensitivity and strain hardening. The quantitative results for the scale effect of the strain rate sensitivity are given. The results for the stiffening effects suggest that two general stiffening factors 1 n and 2 n , which characterizes the strain rate sensitivity and strain hardening effect, respectively can be defined. The saturated displacement is inversely proportional to the stiffening factors (i.e. 1 n and 2 n ) and saturated impulse is inversely proportional to the square roots of the stiffening factors (i.e. 1 n and 2 n ). Formulae for displacement and saturated impulse are proposed based on the empirical analysis.

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Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loads

Wang

Dai

2019

Arch Appl Mech

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Highlights(1) The DLV dimensionless number system to represent structural impact is proposed.(2) Two well-known numbers, the damage number and the response number, are naturally included in DLV dimensionless numbers.(3) The property of directly matching the dimensionless expression of the response equations is verified through simple equation analysis of four impact models.(4) The ability of addressing non-scalability as well as the VSG system is confirmed. 3 ABSTRACT ： A group of dimensionless numbers, termed DLV (Density-Length-Velocity) system, is put forward to represent the scaled behavior of structures under impact loads. It is obtained by means of the Buckingham Π theorem with an alternative basis. The distinct features of this group of dimensionless numbers are that it relates physical quantities of the impacted structure with essential basis of the Density, the Length and the Velocity, and thus it can represent the scaled influence of material property, geometry characteristic and velocity on the behavior of structures. The newly 15 proposed dimensionless numbers reflect three advantages. (1) The intuitively clear physical significance of these dimensionless numbers, such as the ratios of force intensity, force, moment of inertia to the corresponding dynamic quantities, the Johnson's damage number and Zhao's response number etc. are naturally included. (2) The property of directly matching the dimensionless expression of response equations of dynamic problems with these dimensionless numbers through simple equation analysis; (3) The ability of addressing non-scaling problems for different materials and strain-rate-sensitive as well as the VSG (initial impact Velocity-dynamic flow Stress-impact mass G) system. Four classical impact models are used to verify the directly matching property and the non-scaling addressing ability of the DLV system by equation analysis. The results show that the proposed dimensionless number system is simple, clear and efficient, and we suggest using it to represent the scaled behavior of structures under impact loads.

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Scaling impacted structures

Cited by 71 publications

References 15 publications

Scaling impacted structures when the prototype and the model are made of different materials

Scaling impacted structures when the prototype and the model are made of different materials

Effects of the Strain Rate Sensitivity and Strain Hardening on the Saturated Impulse of Plates

Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loads

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