Large amplitude vibrations of imperfect porous-hyperelastic beams via a modified strain energy

Khaniki, Hossein Bakhshi; Ghayesh, Mergen H.; Chin, Rey; Amabili, Marco

doi:10.1016/j.jsv.2021.116416

Cited by 40 publications

(8 citation statements)

References 32 publications

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“…Further advancements could also assist in differentiating between healthy re-endothelization or fibrin drug eluting stent coverage, improving the ability to stratify risk of late stent thrombosis [ 222 ]. Combining this ability to accurately segment pathological borders and extract molecular information, reminiscent of an advanced virtual histology IVUS/OCT [ 223 , 224 ], presents opportunities to reverse engineer tissue constitutive models and adapt structural simulations to patient-specific conditions, currently a major limitation in the field of biomechanics [ 225 , 226 , 227 , 228 , 229 , 230 , 231 , 232 , 233 , 234 ]. However, there is still a need for further evidence to determine which multi-modal imaging technique can provide the strongest incremental benefits and risk stratification to improve both clinical outcomes and simulation capability.…”

Section: Discussionmentioning

confidence: 99%

Automated Coronary Optical Coherence Tomography Feature Extraction with Application to Three-Dimensional Reconstruction

et al. 2022

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Coronary optical coherence tomography (OCT) is an intravascular, near-infrared light-based imaging modality capable of reaching axial resolutions of 10–20 µm. This resolution allows for accurate determination of high-risk plaque features, such as thin cap fibroatheroma; however, visualization of morphological features alone still provides unreliable positive predictive capability for plaque progression or future major adverse cardiovascular events (MACE). Biomechanical simulation could assist in this prediction, but this requires extracting morphological features from intravascular imaging to construct accurate three-dimensional (3D) simulations of patients’ arteries. Extracting these features is a laborious process, often carried out manually by trained experts. To address this challenge, numerous techniques have emerged to automate these processes while simultaneously overcoming difficulties associated with OCT imaging, such as its limited penetration depth. This systematic review summarizes advances in automated segmentation techniques from the past five years (2016–2021) with a focus on their application to the 3D reconstruction of vessels and their subsequent simulation. We discuss four categories based on the feature being processed, namely: coronary lumen; artery layers; plaque characteristics and subtypes; and stents. Areas for future innovation are also discussed as well as their potential for future translation.

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Section: Discussionmentioning

confidence: 99%

Automated Coronary Optical Coherence Tomography Feature Extraction with Application to Three-Dimensional Reconstruction

et al. 2022

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“…and by substituting Eqs. (34)(35)(36)(37)(38)(39) into Eq. ( 33), one can reach the kinetic energy of layered thick hyperelastic beams, as…”

Section: Layered Hyperelastic Shear Deformable Beam Formulationmentioning

confidence: 99%

“…Previously, axially moving hyperelastic structures and porous-hyperelastic structures have been investigated by Khaniki et al [33,34]; however, until now, there have been no studies on the time-dependent mechanics of layered hyperelastic structures. In this study, a comprehensive analysis of the mechanics of multilayered thick hyperelastic structures is presented for the first time as having different boundary conditions via different shear theories.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear continuum mechanics of thick hyperelastic sandwich beams using various shear deformable beam theories

Khaniki

Ghayesh

Chin

et al. 2022

Continuum Mech. Thermodyn.

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In this study, the time-dependent mechanics of multilayered thick hyperelastic beams are investigated for the first time using five different types of shear deformation models for modelling the beam (i.e. the Euler–Bernoulli, Timoshenko, third-order, trigonometric and exponential shear deformable models), together with the von Kármán geometrical nonlinearity and Mooney–Rivlin hyperelastic strain energy density. The laminated hyperelastic beam is assumed to be resting on a nonlinear foundation and undergoing a time-dependent external force. The coupled highly nonlinear hyperelastic equations of motion are obtained by considering the longitudinal, transverse and rotation motions and are solved using a dynamic equilibrium technique. Both the linear and nonlinear time-dependent mechanics of the structure are analysed for clamped–clamped and pinned–pinned boundaries, and the impact of considering the shear effect using different shear deformation theories is discussed in detail. The influence of layering, each layer’s thickness, hyperelastic material positioning and many other parameters on the nonlinear frequency response is analysed, and it is shown that the resonance position, maximum amplitude, coupled motion and natural frequencies vary significantly for various hyperelastic and layer properties. The results of this study should be useful when studying layered soft structures, such as multilayer plastic packaging and laminated tubes, as well as modelling layered soft tissues.

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“…Khaniki et al. [8] studied forced vibration of an axially graded porous Mooney‐Rivlin hyperelastic beam. Bacciocchi and Tarantino [9] investigated the finite bending stresses and stretches of hyperelastic laminated beams using Mooney‐Rivlin and Saint Venant‐Kirchhoff material models.…”

Section: Introductionmentioning

confidence: 99%

“…Forsat [7] employed a shear deformation beam theory and a von-Kármántype nonlinearity for the nonlinear frequency analysis of incompressible neo-Hookean, Mooney-Rivlin, Ishihara, and Yeoh hyperelastic beams resting on nonlinear elastic foundations. Khaniki et al [8] studied forced vibration of an axially graded porous Mooney-Rivlin hyperelastic beam. Bacciocchi and Tarantino [9] investigated the finite bending stresses and stretches of hyperelastic laminated beams using Mooney-Rivlin and Saint Venant-Kirchhoff material models.…”

Section: Introductionmentioning

confidence: 99%

An accurate hyperelasticity‐based plate theory and nonlinear energy‐based micromechanics for impact and shock analyses of compliant particle‐reinforced FG hyperelastic plates

Shariyat

Abedi

2022

Z Angew Math Mech

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The current article is devoted to the nonlinear dynamic and impact response analyses of rectangular incompressible neo‐Hookean hyperelastic plates with uniform/nonuniform transverse distributions of stiff elastic reinforcing particles. The nonlinear finite element governing equations are derived by using the principle of minimum total potential energy and solved by an updating scheme that uses the Runge‐Kutta time integration and penalty methods. The impact energy expressions are written for the integrated plate‐indenter system. The novelties of the article are: (i) realistic modeling the energy absorption of a particle‐reinforced nonlinear hyperelastic matrix based on the volume fractions of the constituent phases instead of using wrong Voigt‐type models or impractical predefined gradation coefficients, (ii) considering non‐uniform distributions of the reinforcing particles, (iii) using a highly accurate asymmetric (all the available theories are symmetric) infinite‐order plate theory, (iv) including the inherent hyperelastic nature of the material in the definition of the parameters of the plate theory, (v) considering the thickness changes of the plate, (vi) including von Karman's kinematic nonlinearity, (vii) analyzing both the dynamic and impact behaviors, (viii) proposing an adaptive algorithm to match the description of the displacement field with the load/stress variations, (ix) updating not only the stiffness but also the mass matrix within the time steps, (x) incorporation of the nonlinear boundary conditions by the penalty method, and (xi) performing time‐dependent analyses instead of the natural frequency analyses. Results reveal the drastic effects of the volume fraction of the reinforcing particles on the dynamic responses and report the impact responses of the FG hyperelastic plates, for the first time.

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Large amplitude vibrations of imperfect porous-hyperelastic beams via a modified strain energy

Cited by 40 publications

References 32 publications

Automated Coronary Optical Coherence Tomography Feature Extraction with Application to Three-Dimensional Reconstruction

Automated Coronary Optical Coherence Tomography Feature Extraction with Application to Three-Dimensional Reconstruction

Nonlinear continuum mechanics of thick hyperelastic sandwich beams using various shear deformable beam theories

An accurate hyperelasticity‐based plate theory and nonlinear energy‐based micromechanics for impact and shock analyses of compliant particle‐reinforced FG hyperelastic plates

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