Stress Response of a Rubber Block under Vertical Loading

Suh, Jong Beom; Kelly, S. Graham

doi:10.1061/(asce)em.1943-7889.0000390

Cited by 10 publications

(10 citation statements)

References 15 publications

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“…4 for various aspect ratios and Poisson's ratios and our FEM results show negligible difference compared to the numerical results in (Yeoh et al, 2002) performed by ANSYS. Still, due to the discontinuous BCs and the non-uniform deformation around the edges (z ¼ 0; h and r ¼ aÞ, stress concentrations are expected and were observed both numerically (Imbimbo and De Luca, 1998;Suh, 2007;Yeoh et al, 2002) and experimentally (Gent et al, 1974;Sakai, 1995). Although stress singularities are not captured by Eqs.…”

Section: Numerical Resultsmentioning

confidence: 76%

“…It has also been noticed that the analytical models tend to overestimate the effective modulus when the shape factor, s ¼ a=ð2hÞ for solid disks, is large (e.g. >30) compared with experimental measurements (Anderson et al, 2004;Suh, 2007) and the cause is still unclear. Fig.…”

Section: Effective Modulusmentioning

confidence: 95%

“…To solve the BVP outlined in Section 2.1, instead of assuming the following parabolic budging profile used by Gent and Lindley (1959) and Gent and Meinecke (1970) and many others (Chalhoub and Kelly, 1990;Suh, 2007;Tsai and Lee, 1998):…”

Section: Analytical Solutionmentioning

confidence: 99%

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Analytical solutions for bonded elastically compressible layers

Qiao

Lu²

2015

International Journal of Solids and Structures

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a b s t r a c tCompression of elastic layers bonded between parallel plates often find applications in the mechanical characterization of soft materials or the transfer-printing of nanomembranes with polymeric stamps. In addition, annular rubbery gaskets and sealers are often under uniaxial compression during service. Analysis of elastic layers under compression has been focused on nearly incompressible materials such as rubbers, and empirical assumptions of displacements were adopted for simplicity. For compressible materials, solutions obtained by the method of averaged equilibrium are sufficient for effective compression modulus but inaccurate for the displacement or stress fields whereas solutions obtained by the method of series expansion are considerably complicated. In this paper, we report full field, closed-form solutions for bonded elastic layers (disks, annuli, annuli with rigid shafts, infinitely long strips) in compression using separation of variables without any pre-assumed deformation profile. These solutions can satisfy the exact forms of the equilibrium equations and all essential boundary conditions as well as the weak form of the natural boundary conditions. Therefore the predicted stress, displacement, and effective modulus have found excellent agreement with finite element modeling (FEM) results over a wide range of Poisson's ratio and aspect ratio. The analytical and FEM results of the stress, displacement, and effective modulus are highly sensitive to Poisson's ratio, especially near 0.5. Therefore we also propose a viable means to simultaneously measure the intrinsic Young's modulus and Poisson's ratio of elastically compressible layers without camera settings. When Poisson's ratio approaches 0.5, our solutions can degenerate to classical solutions for incompressible elastic layers.

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Section: Numerical Resultsmentioning

confidence: 76%

Section: Effective Modulusmentioning

confidence: 95%

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Analytical solutions for bonded elastically compressible layers

Qiao

Lu²

2015

International Journal of Solids and Structures

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“…If both surfaces are lubricated (no friction) the stress at the interfaces will be constant p = p 0 = F N /πR 2 and the change in the thickness ∆d (assuming linear elasticity) will be determined by p 0 = E∆d/d. However, if the rubber adhere (or is glued) to the upper surface with no-slip the situation may be very different [22,23]. If d > R the stress at the (lower) interface will again be nearly uniform and ∆d will be determined by p 0 = E eff ∆d/d where E eff > E but nearly identical to E. In the opposite limit of a very thin rubber disk, d << R, the pressure distribution at the bottom surface will be nearly parabolic p(r) ≈ 2p 0 [1 − (r/R) 2 ] (see Fig.…”

Section: Rubber Block Under Vertical Loadingmentioning

confidence: 99%

Fluid squeeze-out between rough surfaces: comparison of theory with experiment

Lorenz

Persson

2011

J. Phys.: Condens. Matter

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We study the time dependence of the (average) interfacial separation between an elastic solid with a flat surface and a rigid solid with a randomly rough surface, squeezed together in a fluid. We use an analytical theory describing the fluid flow factors, based on the Persson contact mechanics theory and the Bruggeman effective medium theory, to calculate the removal of the fluid from the contacting interface of the two solids. In order to test this approach, we have performed simple squeeze-out experiments. The experimental results are compared to the theoretical predictions.

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“…The shape factor S f (defined as the ratio of loaded area to total stress free area) plays an important role in the compression test [22]. Therefore, tests were performed with two different geometries of samples whose characteristics are reported in Table 1.…”

Section: Cyclic Compression Testsmentioning

confidence: 99%

Experimental Study on High Damping Rubber Under Combined Action of Compression and Shear

Tinard

Tam

Fond

2015

Journal of Engineering Materials and Technology

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High damping rubber (HDR) is used in HDR bearings (HDRBs) which are dissipating devices in structural systems. These devices actually have to support permanent static load in compression and potential cyclic shear when earthquakes occur. Mastering the behavior of bearings implies an accurate understanding of HDR response in such configuration. The behavior of HDR is, however, complex due to the nonlinearity and time dependance of stress-strain response and especially Mullins effect. To the authors' knowledge, tests on HDR under combined quasi-static compression and cyclic shear (QC-CS) have not been performed with regard to Mullins effect yet. The purpose of this study is thus to assess experimentally Mullins effect in HDR, especially under QC-CS. In order to achieve this aim, cyclic tensile and compression tests were first carried out to confirm the occurrence of Mullins effect in the considered HDR. Then, an original biaxial setup allowing testing HDR specimen under QC-CS was developed. This setup enables us to identify Mullins effect of the considered HDR under this kind of loading. Tests carried out with this setup were thus widened to the study of the influence of compression stress on shear response under this loading, especially in terms of shear modulus and density of energy dissipation.

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Stress Response of a Rubber Block under Vertical Loading

Cited by 10 publications

References 15 publications

Analytical solutions for bonded elastically compressible layers

Analytical solutions for bonded elastically compressible layers

Fluid squeeze-out between rough surfaces: comparison of theory with experiment

Experimental Study on High Damping Rubber Under Combined Action of Compression and Shear

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