A computational model for fiber-reinforced composites: hyperelastic constitutive formulation including residual stresses and damage

Jha, Niraj Kumar; Reinoso, J.; Dehghani, Hamidreza; Merodio, J.

doi:10.1007/s00466-018-1630-5

Cited by 25 publications

(10 citation statements)

References 38 publications

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“…Therefore, the radial residual strains would tend to decrease the global radial strain state generated by both mechanical and chemical loads. In regards to all these features, it would be interesting to integrate an initial residual strain field in a numerical study by using the multiplicative decomposition of the deformation gradient, as proposed by (Jha et al 2019;Peña et al 2006;Rausch and Kuhl 2013;Balzani et al 2006), and to compute its influence on the mechanical and nutrient transport fields. To this end, we propose a simple cosinus sum function model based on normalized radius and angle to fully describe the residual strain state within the IVD.…”

Section: Discussionmentioning

confidence: 99%

Residual strains estimation in the annulus fibrosus through digital image correlation

Dusfour

Ambard²,

Cañadas³

et al. 2021

Journal of Theoretical, Computational and Applied Mechanics

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Up-to-date, back pain is among the most prevalent health issues and generally takes its origins from lesions of the annulus fibrosus (AF). While the AF ex vivo mechanical properties are increasingly well understood, in vivo data are still missing. In particular, very few studies have precisely measured the residual strains within the AF and thus the in vivo deformation state of the AF is still miss-interpreted and miss-evaluated. In this work, we propose an original and robust method for the AF residual strains quantification via digital image correlation technics. Ten pig annulus fibrosus were extracted from adjacent vertebrae followed by a radial incision to release the residual strains. The operations were filmed and then analyzed by a custom digital image correlation software in order to quantify the circumferential, radial and shear residual deformations. Our results show that residual strains are of the same order of magnitude than the in vivo one. The average circumferential strains are in tension on the outer periphery ([3.32; 5.94]%) and in compression on the inner periphery ([−6.4; −1.69]%). The mean radial residual strains are essentially in compression ([−10.4; 2.29]%). Locally, radial and circumferential residual strains can reach really large values up to 40% of compression. The mean shear strains remain very small (−0.04% ± 2.88%). This study also shows that circumferential and radial residual strains evolve linearly along the radius and non-linearly along the angle. We propose a simple model to predict their spatial variations. Our results and methods will allow the quantification of more realistic in vivo strains and stresses within the human intervertebral disc.

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Section: Discussionmentioning

confidence: 99%

Residual strains estimation in the annulus fibrosus through digital image correlation

Dusfour

Ambard²,

Cañadas³

et al. 2021

Journal of Theoretical, Computational and Applied Mechanics

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“…The material section in Figure 6 shows that after reaction infiltration, the two kinds of pores inside the C f /C body were filled with the ceramic phase, which greatly improved the bending strength of the composite. During the load application, the cracks were effectively transferred from the PyC to the ceramic matrix and then carbon fibers, which effectively consumed the load energy, resulting in an improvement in the mechanical properties [25,26]. As can be seen from Figure 6, during material breakage, a large number of fibers were pulled out.…”

Section: Mechanical Propertiesmentioning

confidence: 99%

Microstructure and Mechanical Properties of Carbon/Carbon Composites Infiltrated with Ti–6Al–4V Titanium Alloy

Luo

2020

Crystals

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In this work, chemical vapor infiltration (CVI) was combined with reactive melt infiltration (RMI) using Ti–6Al–4V titanium alloy powder to prepare Cf/C–TiC composites. The microstructure and composition of Cf/C–TiC composites were characterized by scanning electron microscopy (SEM) and X-ray diffraction (XRD). The flexural properties of the composites were also analyzed. The results indicated that the Ti–6Al–4V titanium alloy infiltrated the Cf/C preform and reacted with the pyrolytic carbon (PyC) to form a TiC–VC and Al4C3 matrix, and no residual Ti, Al, or V was detected. Moreover, Al4C3 was concentrated and independently distributed, whereas Ti and V reacted with C to form a TiC–VC solid solution. The porosity was 6.75%, and the bulk density of Cf/C–TiC was 1.96 g/cm3. The flexural strength, flexural modulus, and failure strains were 256 ± 18 MPa, 89 ± 9 GPa, and 0.93 ± 0.13%, respectively. The work of fracture of the Cf/C–TiC composite was about 6.8 ± 0.38 KJ/m2. Due to the propagation and deflection of cracks, as well as debonding and fiber pullout, the Cf/C–TiC composite showed ductile fracture behavior.

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“…The presence of residual stresses in solids has been the essence of numerous publications [1][2][3]. There is a considerable interest in the mechanical behaviour of residually stressed materials in recent years and attempts to comprehend the mechanical behaviour of residual stresses on solid materials can be found in the literature [2,[4][5][6]. A review on the presence of residual stress, for example, in fiber reinforced composite materials can be found in [7].…”

Section: Introductionmentioning

confidence: 99%

Residually Stressed Fiber Reinforced Solids: A Spectral Approach

Shariff

Merodio

2020

Materials

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We use a spectral approach to model residually stressed elastic solids that can be applied to carbon fiber reinforced solids with a preferred direction; since the spectral formulation is more general than the classical-invariant formulation, it facilitates the search for an adequate constitutive equation for these solids. The constitutive equation is governed by spectral invariants, where each of them has a direct meaning, and are functions of the preferred direction, the residual stress tensor and the right stretch tensor. Invariants that have a transparent interpretation are useful in assisting the construction of a stringent experiment to seek a specific form of strain energy function. A separable nonlinear (finite strain) strain energy function containing single-variable functions is postulated and the associated infinitesimal strain energy function is straightforwardly obtained from its finite strain counterpart. We prove that only 11 invariants are independent. Some illustrative boundary value calculations are given. The proposed strain energy function can be simply transformed to admit the mechanical influence of compressed fibers to be partially or fully excluded.

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A computational model for fiber-reinforced composites: hyperelastic constitutive formulation including residual stresses and damage

Cited by 25 publications

References 38 publications

Residual strains estimation in the annulus fibrosus through digital image correlation

Residual strains estimation in the annulus fibrosus through digital image correlation

Microstructure and Mechanical Properties of Carbon/Carbon Composites Infiltrated with Ti–6Al–4V Titanium Alloy

Residually Stressed Fiber Reinforced Solids: A Spectral Approach

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