A material-independent algorithm for preserving of the orientation of the spatial basis attached to deforming medium

Peyraut, François; Feng, Zhi-Qiang; Labed, Nadia

doi:10.1007/s00466-007-0163-0

Cited by 5 publications

(2 citation statements)

References 18 publications

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“…This paper establishes a starting point for several future works, among which we list the development of related higher-other methods such as the weighted essentially non-oscillatory (WENO) finite difference, see the survey by Shu (2016) and the references therein; methods and studies concerning higher-dimensional problems (LeVeque, 1997, Bale et al, 2002, Quezada de Luna and Ketcheson, 2014, Berjamin et al, 2019; analytical investigations using homogenization approaches (Andrianov et al, 2011, LeVeque and Yong, 2003b, Quezada de Luna and Ketcheson, 2014; and the introduction of a kinematic split between the isochoric and volumetric parts of the motion into the method, which is useful when the volumetric stiffness is several orders of magnitude greater than the shear stiffness (Holzapfel, 2000, Peyraut et al, 2007. and pressure waves, in each medium there are four different combinations of ways these waves may evolve, namely, smooth-smooth, shock-smooth, smooth-shock, and shock-shock.…”

Section: Discussionmentioning

confidence: 99%

Observation of vector solitary waves in soft laminates using a finite volume method

Ziv¹,

Gal²

2020

Preprint

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Soft materials with engineered microstructure support nonlinear waves which can be harnessed for various applications, from signal communication to impact mitigation. Such waves are governed by nonlinear coupled differential equations whose analytical solution is seldom trackable, hence emerges the need for suitable numerical solvers. Based on a finite-volume method in one space dimension, we here develop a designated scheme for nonlinear waves with two coupled components that propagate in soft laminates. We apply our scheme to a periodic laminate made of two alternating compressible Gent layers, and consider two cases. In one case, we analyze a motion whose component along the lamination direction is coupled to a component in the layers plane, and discover vector solitary waves in a continuum medium. In the second case, we analyze a motion with two coupled components in the plane of the layers, and observe a train of linearly polarized solitary waves, followed by a single circularly polarized wave. The framework we developed offers a platform for further investigation of these waves and their extension to higher dimensional problems.

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Section: Discussionmentioning

confidence: 99%

Observation of vector solitary waves in soft laminates using a finite volume method

Ziv¹,

Gal²

2020

Preprint

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“…A 30 mm diameter sample is meshed with a 3D solid triangular element. The bottom of the sample is clamped and its top is considered as a rigid surface [13] [14]. The clay sample is compressed in a hollow solid cylinder which surfaces are clamped.…”

Section: Finite Element Modeling Of a Clay Paste Compressionmentioning

confidence: 99%

Numerical Simulation and Experimental Characterization of Clay Paste under Loads for Energy Saving in Clay Materials Processing

Traoré¹,

Atcholi²,

Samah³

et al. 2016

JMMCE

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Requirements for the respect of the environment encourage to reduce the impact of human activity on the nature. Civil engineering answers these requirements by the development of ecological construction materials. This paper deals with the transformation of clay raw materials which enable the processing of environmentally friendly construction materials: in addition to their biodegradability, the alveolar fired clay materials allow energy saving in home heating thanks to their thermal isolation properties. But their manufacturing is a high energy consumption process, in particular during compaction, drying and firing which contribute to the emission of greenhouse gases. The goal of this paper is to study the rheology of clay pastes in order to develop low energy in manufacturing processes. For this purpose, theoretical and experimental approaches were carried out on six clay varieties. In the theoretical approach, a finite element (FE) simulation model has been developed for pressing a non-rigid material predicting deformations and stresses occurring within the clay structure. Experiments have then been carried out to validate the finite element modelling. In this experimental approach, the clay pastes were transformed with water content respecting the Atterberg limits which determine the plasticity of clays. The samples compaction has been carried out under variable loadings in order to determine the suitable low energy consumption loading. B. Traore et al.

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The remarkable Gent constitutive model for hyperelastic materials

Horgan

2015

International Journal of Non-Linear Mechanics

148

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A material-independent algorithm for preserving of the orientation of the spatial basis attached to deforming medium

Cited by 5 publications

References 18 publications

Observation of vector solitary waves in soft laminates using a finite volume method

Observation of vector solitary waves in soft laminates using a finite volume method

Numerical Simulation and Experimental Characterization of Clay Paste under Loads for Energy Saving in Clay Materials Processing

The remarkable Gent constitutive model for hyperelastic materials

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