A Hyperelastic Visco-Elasto-Plastic Damage Model for Rubber-Like Solids Including Strain-Dependency of Hysteretic Loops

Sugiyama, Toshiyuki

doi:10.2208/jscejam.71.14

Cited by 2 publications

(2 citation statements)

References 28 publications

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“…developed a two‐dimensional model for HDRBs. Yoshida and Sugiyama 18 developed a viscoelastic‐plastic model to simulate cyclic responses of an HDRB. Yuan et al 19 .…”

Section: Introductionmentioning

confidence: 99%

Coupled structural and heat conduction FE analysis of laminated high damping rubber bearing

Miyamura

Ohsaki

Fujiwara

et al. 2021

Earthq Engng Struct Dyn

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A framework for coupled structural and heat conduction finite element analysis is developed for laminated high damping rubber bearings (HDRBs), and coupled analyses are conducted for full‐scale tests of an HDRB using the shaking table at E‐Defense. An HDRB, which is used in base‐isolated buildings, is modeled using hexahedral solid elements. The high damping rubber is modeled as an overlaid viscohyperelastic and elastic‐plastic constitutive model. However, material parameters are identified using the results for the HDRB subjected to one‐directional loading, and temperature dependences of the parameters are taken into account by a simple method based on empirical formulae for the HDRB because no cyclic coupon test was conducted for the high damping rubber used in the full‐scale tests. The combined structural and heat conduction analyses are conducted for a number of loading cases. The same hexahedral mesh of the HDRB is used for both structural and heat conduction analyses. Analysis results are presented for a one‐directional cyclic loading test, two‐directional loading test with elliptical orbit, and earthquake loading test. The results obtained by the tests and those obtained by the coupled structural and heat conduction analyses are compared. The coupling effect of the mechanical and thermal behaviors is clearly shown in the analysis results, although reductions of the equivalent stiffness and damping are not large because the number of loading cycles in the present analyses is limited.

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“…developed a two‐dimensional model for HDRBs. Yoshida and Sugiyama 18 developed a viscoelastic‐plastic model to simulate cyclic responses of an HDRB. Yuan et al 19 .…”

Section: Introductionmentioning

confidence: 99%

Coupled structural and heat conduction FE analysis of laminated high damping rubber bearing

Miyamura

Ohsaki

Fujiwara

et al. 2021

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

show abstract

“…For instance, Kim et al [40] employ a generic power law for the hyperelastic part and a viscosity that evolves based on the rate of deformation. Another example is found in the work by Yoshida & Sugiyama [41], where the evolution equation of the internal variables is defined in terms of the logarithmic stretch in the material frame. These examples demonstrate the flexibility of the framework to accommodate different formulations within the parallel rheological framework.…”

mentioning

confidence: 99%

Viscoplastic simple shear at finite strains

Califano,

Ciambella

2023

Proc. R. Soc. A.

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The equations governing the simple shear deformation of an incompressible inelastic material undergoing finite strain are derived in this paper. The constitutive assumptions are kept in their most general form to allow the incorporation of widely used viscoplastic or viscoelastic models from the literature. It is shown that, while for a hyperelastic material the simple shear problem is completely determined by a single parameter, the amount of shear, in the viscoplastic case, the elastic deformation is the superposition of a triaxial stretch and a simple shear, whose determination requires the solution of three coupled nonlinear evolution equations. We evaluate such a solution for different material models and compare it with three-dimensional finite element simulations to assess its accuracy. We further assess the performance of these models using experimental data from filled rubber, focusing on their ability to capture the observed behaviour, such as the well-known Payne effect. Additionally, we extend our simple shear solution to address torsion and the extension of thin-walled cylinders. These derivations and analyses offer valuable insights for experimentalists engaged in the mechanical characterization of soft materials.

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A Hyperelastic Visco-Elasto-Plastic Damage Model for Rubber-Like Solids Including Strain-Dependency of Hysteretic Loops

Cited by 2 publications

References 28 publications

Coupled structural and heat conduction FE analysis of laminated high damping rubber bearing

Coupled structural and heat conduction FE analysis of laminated high damping rubber bearing

Viscoplastic simple shear at finite strains

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