A dynamic poroelastic model for auxetic polyurethane foams involving viscoelasticity and pneumatic damping effects in the linear regime

Zhang, Qicheng; Yu, Xindi; Scarpa, Fabrizio; Barton, David A. W.; Zhu, Yunpeng; Lang, Zi-Qiang; Zhang, Dayi

doi:10.1016/j.ymssp.2022.109375

Cited by 15 publications

(15 citation statements)

References 35 publications

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“…The bending moduli of the auxetic foams along d 2 in Fig. 8 and the effect of r c are quite close to the results obtained in previous papers [25,26,77] of the same type auxetic foam under the cyclic quasistatic compression/tension loading along d 2 . For example, the modulus at 10% strain of auxetic foams with different r c under quasi-static cyclic tensile loading along d 2 varies between 0.5 and 2 MPa, and mostly clusters around 0.5 MPa [25,26], which is close to the value of the bending modulus corresponding to the 5 mm amplitude.…”

Section: Modified Normalized Bouc-wen Model For the Concentrated Para...supporting

confidence: 88%

“…For example, the modulus at 10% strain of auxetic foams with different r c under quasi-static cyclic tensile loading along d 2 varies between 0.5 and 2 MPa, and mostly clusters around 0.5 MPa [25,26], which is close to the value of the bending modulus corresponding to the 5 mm amplitude. In comparison, the modulus at 1% strain of the different auxetic foams under quasi-static cyclic compressive-tensile loading along d 2 mainly ranges between 0.5 and 3 MPa, and concentrates around 1 MPa [77], close to the bending modulus at 1 mm amplitude. This difference can also be justified by the fact that the bending modulus is derived from a Euler-Bernoulli beam formulation that neglects the shear deformation.…”

Section: Modified Normalized Bouc-wen Model For the Concentrated Para...mentioning

confidence: 81%

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Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Zhang

Scarpa

et al. 2022

Nonlinear Dyn

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The work describes experiments and models related to auxetic (negative Poisson’s ratio) foams subjected to low-frequency and variable amplitude 3-point bending loading. A custom 3-point bending vibration test rig is designed and used to perform the dynamic test of auxetic PU foam beams within low-frequency range (1–20 Hz) and 5 different displacement amplitudes. The auxetic foams tested in this work are manufactured using a simplified and relatively low-cost uniaxially thermoforming compression technique, which leads to the production of foams with transverse isotropic characteristics. Auxetic foam beam samples with two different cutting orientations and different thermoforming compression ratios rc (20–80%) are tested and compared, also with the use of theoretical Euler–Bernoulli-based and finite element models. The dynamic modulus of the foams increases with rc, ranging between 0.5 and 5 MPa, while the dynamic loss factor is marginally affected by the compression ratio, with overall values between 0.2 and 0.3. The auxetic PU foam has a noticeable amplitude-dependent stiffness and loss factors, while the dynamic modulus increases but slightly decreases with the frequency. The dynamic modulus is also 20–40% larger than the quasi-static one, while the dynamic and static loss factors are quite close. A modified Bouc–Wen model is also further developed to capture the amplitude and frequency-dependent properties of the conventional and auxetic foams with different volumetric compression ratios. The model shows a good agreement with the experimental results.

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Section: Modified Normalized Bouc-wen Model For the Concentrated Para...supporting

confidence: 88%

Section: Modified Normalized Bouc-wen Model For the Concentrated Para...mentioning

confidence: 81%

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Zhang

Scarpa

et al. 2022

Nonlinear Dyn

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“…[ 40,41 ] From the hysteretic loops, the tangent modulus E t and the quasi‐static loss factor

η_{C / T}

were computed. The quasi‐static loss factor of the compression test is the ratio of the energy dissipated per cycle (

Δ W_{C / T})

to the elastic energy stored by the sample (

U_{C / T})

over the cycle [ 52 ]

η_{C / T} = \frac{2 Δ W_{C / T}}{π U_{C / T}}

…”

Section: Methodsmentioning

confidence: 99%

“…The procedure described in this paragraph shows the methodology previously used in ref. [52]. Low‐amplitude white noise tests were conducted using an electrodynamic shaker (LDS, Model V406) to determine the effect of moisture on the energy absorption of the foams ( Figure 3 a).…”

Section: Methodsmentioning

confidence: 99%

“…[ 50,51 ] The conditioned foams are subjected to quasi‐static cyclic loading under large deformations, and vibration transmissibility tests following protocols already applied to foams at room temperature conditions. [ 41,52 ] Tangent moduli, PRs, and quasi‐static/dynamic loss factors have been measured, together with the dynamic modulus of those foams. Aging and effects on the static and dynamic properties of pristine and auxetic foams are discussed, together with the statistical significance of the data for future studies.…”

Section: Introductionmentioning

confidence: 99%

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Investigating the Effect of Relative Humidity on the Mechanics and Dynamics of Open‐Cell Polyurethane Auxetic Foams

Williams

Zhang

Kergariou

et al. 2022

Physica Status Solidi (b)

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This work describes a series of investigations carried out on sets of pristine and auxetic (negative Poisson's ratio (NPR)) open‐cell polyurethane foams subjected to relative humidity (RH) conditioning ranging from 9% to 92% at room temperature. The foams have been produced using a uniaxially thermoforming process. Pristine and auxetic foams have then been subjected to quasi‐static compressive cyclic loading (with maximum strains of 10% and 80%, respectively), as well as vibration transmissibility tests with base accelerations up to 2.29 g. Increasing levels of RH do not seem to statistically affect the moduli and PRs of foams subjected to lower maximum strains, however, especially the auxetic foams at higher compressive deformations show a decrease in the stiffness with the increase of the RH. The vibration tests show an increasing trend of the dynamic modulus of the foams with the increase of the RH. The results indicate the complexity of the interaction between foam architecture and absorption/desorption mechanisms occurring inside these porous auxetic materials.

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The shear performance of uniaxially thermoformed auxetic polymer foams

Zhang,

Yu,

Xia

et al. 2024

Composites Part B: Engineering

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A dynamic poroelastic model for auxetic polyurethane foams involving viscoelasticity and pneumatic damping effects in the linear regime

Cited by 15 publications

References 35 publications

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Hysteretic behaviour of uniaxially thermoformed auxetic foams under 3-point bending low-frequency vibration

Investigating the Effect of Relative Humidity on the Mechanics and Dynamics of Open‐Cell Polyurethane Auxetic Foams

The shear performance of uniaxially thermoformed auxetic polymer foams

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