Nonlinear singular traveling waves in a slightly compressible thermo-hyperelastic cylindrical shell

Wang, Ran; Ding, Hu; Yuan, Xiying; Lv, Na

doi:10.1007/s11071-021-06394-3

Cited by 10 publications

(3 citation statements)

References 37 publications

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“…A visco-hyperelastic model was presented by Zhao et al [141] for modelling the chaotic motion of spherical shells. Other studies on the dynamic behaviour of hyperelastic plates and shells can be found in refs [142][143][144][145][146][147][148], emphasising the importance of considering hyperelasticity in studying the dynamic response of such structures. Studies on the nonlinear dynamics of hyperelastic plates and shells are summarised in Table 2.…”

Section: Nonlinear Dynamics Of Hyperelastic Plates and Shellsmentioning

confidence: 99%

A review on the nonlinear dynamics of hyperelastic structures

et al. 2022

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This paper presents a critical review of the nonlinear dynamics of hyperelastic structures. Hyperelastic structures often undergo large strains when subjected to external time-dependent forces. Hyperelasticity requires specific constitutive laws to describe the mechanical properties of different materials, which are characterised by a nonlinear relationship between stress and strain. Due to recent recognition of the high potential of hyperelastic structures in soft robots and other applications, and the capability of hyperelasticity to model soft biological tissues, the number of studies on hyperelastic structures and materials has grown significantly. Thus, a comprehensive explanation of hyperelastic constitutive laws is presented, and different techniques of continuum mechanics, which are suitable to model these materials, are discussed in this literature review. Furthermore, the sensitivity of each hyperelastic strain energy density function to coefficient variation is shown for some well-known hyperelastic models. Alongside this, the application of hyperelasticity to model the nonlinear dynamics of polymeric structures (e.g., beams, plates, shells, membranes and balloons) is discussed in detail with the assistance of previous studies in this field. The advantages and disadvantages of hyperelastic models are discussed in detail. This present review can stimulate the development of more accurate and reliable models.

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Section: Nonlinear Dynamics Of Hyperelastic Plates and Shellsmentioning

confidence: 99%

A review on the nonlinear dynamics of hyperelastic structures

et al. 2022

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“…Shen et al [17] investigated the nonlinear flexural vibrations of carbon nanotube-reinforced composite laminated cylindrical shells with negative Poisson's ratios in thermal environments. Wang et al [18] investigated the strongly nonlinear traveling waves in a thermo-hyperelastic cylindrical shell.…”

Section: Introductionmentioning

confidence: 99%

Internal resonance of hyperelastic thin-walled cylindrical shells under harmonic axial excitation and time-varying temperature field

Yuan

Zhang

et al. 2022

Thin-Walled Structures

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“…The first topical area titled Concepts and methods in nonlinear dynamics includes articles concerning the computation of invariant manifolds in high-dimensional finite element models [ 1 ], the computation of the basins of attraction of multi-stable dynamical systems [ 2 ], reduced-order models for vertical sloshing employing neural networks [ 3 ], the problem of continuous representations of piecewise-smooth nonlinear systems [ 4 ], and analytical approaches to nonlinear singular traveling waves in compressible thermo-hyperelastic cylindrical shells [ 5 ].…”

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confidence: 99%