An inverse problem for the characterization of dynamic material model parameters from a single SHPB test

Hernández, Camilo; Maranon, A.; Ashcroft, IA; Casas-Rodríguez, Juan Pablo

doi:10.1016/j.proeng.2011.04.268

Cited by 10 publications

(6 citation statements)

References 9 publications

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“…Some researchers conducted quasi-static and high strain rate (up to 4500 s −1 ) experiments, whereas the high temperature environment was not considered (Pereira et al 2001 ). Recently, a few investigations have been done to study the modeling process fully considering a wide range of strain rates and temperatures (Hor et al 2013a , b ; Lee et al 2011 ; Hernandez et al 2011 ; Wang et al 2009 ).…”

Section: Introductionmentioning

confidence: 99%

Dynamic mechanical response and a constitutive model of Fe-based high temperature alloy at high temperatures and strain rates

Wang²,

et al. 2016

SpringerPlus

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The effects of strain rate and temperature on the dynamic behavior of Fe-based high temperature alloy was studied. The strain rates were 0.001–12,000 s−1, at temperatures ranging from room temperature to 800 °C. A phenomenological constitutive model (Power-Law constitutive model) was proposed considering adiabatic temperature rise and accurate material thermal physical properties. During which, the effects of the specific heat capacity on the adiabatic temperature rise was studied. The constitutive model was verified to be accurate by comparison between predicted and experimental results.

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Section: Introductionmentioning

confidence: 99%

Dynamic mechanical response and a constitutive model of Fe-based high temperature alloy at high temperatures and strain rates

Wang²,

et al. 2016

SpringerPlus

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“…The striker bar is fired using a controlled pressured air toward the incident bar generating a compression stress wave which travel along the incident to the specimen interface. Portion of the wave transmitted to the specimen while the remaining reflect back to the relived incident bar [2]. Once specimen is loaded, part of the loading wave propagates to the transmitted bar while the difference consumed within the specimen.…”

Section: Introductionmentioning

confidence: 99%

“…M. Aleyaasein used models which may take only 2 models which compose of groups of springs and dashpots as in fig (2) where Ea and Em are the Young moduli of the purely elastic part and the Maxwell part respectively, and the parameter θ is defined by η the viscoelastic damping constant [11]. The main idea of the analytical study of the visco-bars parameter in [12], [13], [4], [14],and [15] depend on finding the mathematical relations between the wave number, attenuation coefficient, wave propagation coefficient, and complex modulus , as in equs (2,3).This analytical solutions is available only in case of knowing all the frequency dependent material parameters of the bar material. In advanced experimental test, it is inaccurate to generalize properties for such materials as these are dependent on the loading rate, environmental history, and manufacturing processconditions [9].…”

Section: Introductionmentioning

confidence: 99%

Experimental Study for Dispersion and Attenuation Correction in Viscoelastic Split Hopkinson Pressure Bar Arrangement

Othman

Khier

Naser

2016

JES. Journal of Engineering Sciences

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Split Hopkinson pressure Bar (SHPB) arrangement is the most practical and accurate method for studying dynamic mechanical behavior of materials under high strain rate. However in case of studying foams, and soft tissues (low impedance materials) a modified version of SHPB with bars made from a viscoelastic material like Poly methyl methacrylate PMMA acrylate is commonly used .so a good prediction of the stress waves and particle velocity acting at the interface between bars and specimen taking into account the dispersion and attenuation effect is essential. In this study the wave propagation coefficient as a function of the phase velocity and the attenuation coefficient in relation to the frequency are calculated experimentally by a set of free end bar tests using a cylindrical projectile to the circumstances of stepped velocity and different firing pressure. Correction processes for longitudinal stains related to incident and reflected waves are preceded in frequency domain using Fast Fourier Transformer (FFT) technique.

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“…As numerical computation is used in IFEM, complex or nonlinear material constitutive models can be implemented, thus expanding its applicability beyond that of the analytical method. Originally proposed for geological problems, where direct determination of ground properties was not possible [ 25 – 27 ], IFEM has been shown to be an effective tool for the in situ estimation of rate-dependent material properties from non-standard tests [ 28 , 29 ].…”

Section: Introductionmentioning

confidence: 99%

“…From the literature [28][29][30][31][32][33], it can be seen that a key step in the use of IFEM is the selection of an appropriate material constitutive model. Only a material constitutive model that can accurately describe the mechanical behaviour of the material is suitable; otherwise, it is impossible to achieve a good fit between FEA and test data.…”

Section: Introductionmentioning

confidence: 99%

An inverse method for determining the spatially resolved properties of viscoelastic–viscoplastic three-dimensional printed materials

Chen¹,

Ashcroft²,

Wildman³

et al. 2015

Proc. R. Soc. A.

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A method using experimental nanoindentation and inverse finite-element analysis (FEA) has been developed that enables the spatial variation of material constitutive properties to be accurately determined. The method was used to measure property variation in a three-dimensional printed (3DP) polymeric material. The accuracy of the method is dependent on the applicability of the constitutive model used in the inverse FEA, hence four potential material models: viscoelastic, viscoelastic–viscoplastic, nonlinear viscoelastic and nonlinear viscoelastic–viscoplastic were evaluated, with the latter enabling the best fit to experimental data. Significant changes in material properties were seen in the depth direction of the 3DP sample, which could be linked to the degree of cross-linking within the material, a feature inherent in a UV-cured layer-by-layer construction method. It is proposed that the method is a powerful tool in the analysis of manufacturing processes with potential spatial property variation that will also enable the accurate prediction of final manufactured part performance.

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An inverse problem for the characterization of dynamic material model parameters from a single SHPB test

Cited by 10 publications

References 9 publications

Dynamic mechanical response and a constitutive model of Fe-based high temperature alloy at high temperatures and strain rates

Dynamic mechanical response and a constitutive model of Fe-based high temperature alloy at high temperatures and strain rates

Experimental Study for Dispersion and Attenuation Correction in Viscoelastic Split Hopkinson Pressure Bar Arrangement

An inverse method for determining the spatially resolved properties of viscoelastic–viscoplastic three-dimensional printed materials

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