Interaction between structures and bilinear fluids

Bleich, Hans H.; Sandler, Ivan S.

doi:10.1016/0020-7683(70)90034-x

Cited by 69 publications

(38 citation statements)

References 2 publications

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“…Figure 1 shows a simple system where a fluid column is incorporated to two masses connected with a linear elastic spring. The problem was originally calculated by Bleich and Sandler [1] using the characteristic method for m 2 = 0 and k = 0, and was recently studied in detail by Sprague and Geers [20] using CAFÉ. This problem is calculated to validate the proposed multiphase model.…”

Section: D Validationsmentioning

confidence: 99%

“…The consequent damage mechanisms are due to initial shock and secondary collapse of cavitation bubble [30,31]. In their pioneering work, Bleich and Sandler [1] calculated the propagation of shock waves and cavitation in a bilinear inviscid fluid using characteristic methods. They were able to capture single and multiple cavitation interfaces theoretically using characteristic relations across the interfaces, and compute the effect of cavitation on the structural response.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic response of deformable structures subjected to shock load and cavitation reload

et al. 2006

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The dynamic response of deformable structures subjected to shock load and cavitation reload has been simulated using a multiphase model, which consists of an interface capturing method and a one-fluid cavitation model. Fluid-structure interaction (FSI) is captured via a modified ghost fluid method (Liu et al. in J Comput Phys 190:651-681, 2003), where the structure is assumed to be a hydro-elasto-plastic material if subjected to a strong shock load. Bulk cavitation near the structural surface is captured using an isentropic model (Liu et al. in J Comput Phys 201:80-108, 2004). The integrated multiphase model is validated by comparing numerical predictions with 1D analytical solutions, and with numerical solutions calculated using the cavitation acoustic finite element (CAFÉ) method (Sprague and Geers in Shocks vib 7: [105][106][107][108][109][110][111][112][113][114][115][116][117][118][119][120][121][122] 2001). To assess the ability of the multiphase model for multi-dimensions, underwater explosions (UNDEX) near structures are computed. The importance of cavitation reloading and FSI is investigated. Comparisons of the predicted pressure time histories with different explosion center are shown, and the effect on the structure is discussed.

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Section: D Validationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic response of deformable structures subjected to shock load and cavitation reload

et al. 2006

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“…2 these free field values may readily be obtained using the interactive solution of Bleich and Sandler, Ref. [2]. It is only necessary to set m = 0 in the programs they developed.…”

Section: Free Field Pressures and Velocitiesmentioning

confidence: 99%

“…[2], to permit non-zero depth h and finite cutoff time T. These exact solutions will be used to evaluate the validity of the approximations described in the sequel.…”

Section: Exact Response Of Massmentioning

confidence: 99%

Uncoupling Approximation in Fluid-Structure Interaction Problems with Cavitation.

DiMaggio¹,

Sandler²,

Rubin³

1980

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“…Bleich and Sandler [10] investigated analytically the 1D interaction between bilinear fluids and structures using a characteristic method. However, the extension of this analytical model to multi-dimensional applications appears to be very difficult.…”

Section: Introductionmentioning

confidence: 99%

Multiphase modeling of dynamic fluid–structure interaction during close‐in explosion

Xie

Young

Liu

2007

Numerical Meth Engineering

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SUMMARYThe modified ghost fluid method (MGFM) developed by Liu et al. (J. Comput. Phys. 2003; 190:651-681) provides us a robust method to treat moving compressible gas-gas and gas-liquid interfaces. Recently, the MGFM was extended to treat compressible fluid-compressible structure interfaces, where the structure was assumed to be very thick or infinitely thick (Comput. Mech. 2007; 40:667-681). In this work, the MGFM is applied to investigate the complex physics that occur during an underwater explosion inside a fluid-filled cylinder. Owing to the refraction of strong rarefaction waves at the fluid-structure interface and inside the thin cylinder wall, cavitation occurs next to the cylinder wall in the fluid; simultaneously, solid tension waves may appear next to the fluid-structure interface inside the structure. Both phenomena tend to cause the implicit double-shock approximate Riemann problem solver (the key component used to predict the fluid-structure interface status in the MGFM) to work less effectively in regions of low pressure and to be invalid when tension waves appear in the vicinity of the fluid-structure interface. To overcome these mentioned difficulties, the MGFM will be further developed in this work. Owing to the high initial pressure, short duration and high intensity of the shock load and cavitation reload, the compressibility of the structure becomes important, and the cylinder can be modeled as a compressible fluid-like medium. The hydro-elasto-plastic equation of state is, thus, used to describe the constitutive behavior of the compressible solid cylinder. A systematic study of the cavitation reload is conducted to examine the influence of the wall material, wall thickness, explosion distance, and explosion strength on the fluid and structural responses.

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Interaction between structures and bilinear fluids

Cited by 69 publications

References 2 publications

Dynamic response of deformable structures subjected to shock load and cavitation reload

Dynamic response of deformable structures subjected to shock load and cavitation reload

Uncoupling Approximation in Fluid-Structure Interaction Problems with Cavitation.

Multiphase modeling of dynamic fluid–structure interaction during close‐in explosion

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