Journal ArticleDOI
Nonlinear higher-order shell theory for incompressible biological hyperelastic materials
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TLDR
In this paper, a geometrically nonlinear theory for circular cylindrical shells made of incompressible hyperelastic materials is developed, which is higher-order in both shear and thickness deformations.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2019-04-01. It has received 52 citations till now. The article focuses on the topics: Hyperelastic material.read more
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Hyperelastic Microcantilever AFM: Efficient Detection Mechanism Based on Principal Parametric Resonance
Amin Alibakhshi,S. Rahmanian,Shahriar Dastjerdi,Mohammad Malikan,Behrouz Karami,Bekir Akgöz,Ömer Civalek +6 more
TL;DR: In this article , an efficient detection mechanism was proposed to scan the surface profile of a micro-sample using cantilever-based atomic force microscopy (AFM), operating in non-contact mode.
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Correction to: The incompressible limit method and Rayleigh waves in incompressible layered nonlocal orthotropic elastic media
Vu Thi Ngoc Anh,Pham Chi Vinh +1 more
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Axisymmetric 3: 1 internal resonance of thin-walled hyperelastic cylindrical shells under both axial and radial excitations
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A damaged Ogden material tube under pressure: stability and bifurcation analysis
TL;DR: In this paper, an incompressible, isotropic and homogeneous damaged Ogden material cylindrical tube is considered and the tube is kept under constant inflation pressure, and the respective small amplitude radial osc...
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Theories for incompressible rods: A rigorous derivation via Γ-convergence
Dominik Engl,Carolin Kreisbeck +1 more
TL;DR: In this paper, a hierarchy of one-dimensional rod theories is derived from three-dimensional models in nonlinear elasticity subject to local volume-preservation, and the densities of the resulting Γ-limits are determined by minimization problems with a trace constraint that arises from the linearization of the determinant condition of incompressibility.
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Journal ArticleDOI
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
TL;DR: A structural continuum framework that is able to represent the dispersion of the collagen fibre orientation is developed and allows the development of a new hyperelastic free-energy function that is particularly suited for representing the anisotropic elastic properties of adventitial and intimal layers of arterial walls.
Book
Nonlinear Vibrations and Stability of Shells and Plates
TL;DR: In this article, a comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells is presented. But the authors do not consider the effect of boundary conditions on the large-amplitude vibrations of circular cylinders.
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Finite element implementation of incompressible, transversely isotropic hyperelasticity
TL;DR: In this article, a three-dimensional constitutive model for biological soft tissues and its finite element implementation for fully incompressible material behavior is presented, along with derivations of the stress and elasticity tensors for a transversely isotropic, hyperelastic material.
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Effects of thickness stretching in functionally graded plates and shells
TL;DR: In this article, the effect of thickness stretching in plate/shell structures made by materials which are functionally graded (FGM) in the thickness directions was evaluated by removing or retaining the transverse normal strain in the kinematics assumptions of various refined plate and shell theories.