Poromechanics

Coussy, Olivier

doi:10.1002/0470092718

Cited by 805 publications

(1,435 citation statements)

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“…We underline that similar graphics are derived from the model of Wilmanski (1996;2000;2004), in which the kinematical description is characterised not only with the placement of fluid and of solid components but also with the porosity field. This means that in order to obtain the dispersion relation of a porous medium saturated with fluid is not important to consider the balance of porosity, that is an equation difficult to interpret.…”

Section: A Numerical Examplementioning

confidence: 81%

“…More precisely this means that an energy potential can be defined for the skeleton, which depends both on the solid strain tensor and on the microstructural parameter and that such a dependency parallels similar constitutive equations in thermomechanics. Typically the introduced microstructural parameter measures the porosity distribution in the overall body (volume density of the voids) or the local density of the fluid (see e.g., Coussy, 2004;Beak and Srinivasa, 2004). In this framework, the porous material is required to satisfy the saturation condition.…”

Section: Historical Backgroundmentioning

confidence: 99%

See 1 more Smart Citation

Variational formulation of pre-stressed solid–fluid mixture theory, with an application to wave phenomena

Placidi

Dell’Isola

Ianiro

et al. 2008

European Journal of Mechanics - A/Solids

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Fluid saturated porous media are modelled by the theory of mixtures and the placement maps of the solid and of the fluid are considered. The momentum balance equations are derived in the framework of a variational approach: We take an action functional and two families of variations and assume that the sum of the virtual work of the external forces and the variation of such an action along each variation are zero. Constitutive equations for the two Cauchy stress tensors and for the interaction force are derived taking into account a general state of pre-stress for the solid and for the fluid species. Governing equations are therefore formulated, however, for the sake of simplicity, only the case of pure initial pressure is further investigated. The propagation of bulk (transversal and longitudinal) waves and the influence of pre-stress are studied: In particular, stability analyses are carried out starting from dispersion relations and the role of pre-stress is investigated. Finally, a numerical example is established for a given state of pre-stress, deriving the phase velocities and the attenuation coefficients of transversal and longitudinal waves.

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Section: A Numerical Examplementioning

confidence: 81%

Section: Historical Backgroundmentioning

confidence: 99%

Variational formulation of pre-stressed solid–fluid mixture theory, with an application to wave phenomena

Placidi

Dell’Isola

Ianiro

et al. 2008

European Journal of Mechanics - A/Solids

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“…Assuming a poroelastic behavior, it has been shown that wave propagation on trabecular bone can be characterized through the acoustic tensor , Q, the solid-fluid interaction tensor , C, and the intrinsic permeability tensor , K, which describe the elastic and viscous effects on the media [14,15]. Q and C are second-order tensors that are related to the Biot's parameters that describe the stress-strain relation in porous media [12] and the exciting waves. In turn, K, a second-order tensor derived from Darcy's law, takes into account dissipation due to viscous losses and it is closely related to the tortuosity tensor [75].…”

Section: Wave Propagation Approachmentioning

confidence: 99%

Techniques for Computing Fabric Tensors: A Review

Moreno

Borga

Smedby

2014

Mathematics and Visualization

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The aim of this chapter is to review different approaches that have been proposed to compute fabric tensors with emphasis on trabecular bone research. Fabric tensors aim at modeling through tensors both anisotropy and orientation of a material with respect to another one. Fabric tensors are widely used in fields such as trabecular bone research, mechanics of materials and geology. These tensors can be seen as semi-global measurements since they are computed in relatively large neighborhoods, which are assumed quasi-homogeneous. Many methods have been proposed to compute fabric tensors. We propose to classify fabric tensors into two categories: mechanics-based and morphology-based. The former computes fabric tensors from mechanical simulations, while the latter computes them by analyzing the morphology of the materials. In addition to pointing out advantages and drawbacks for each method, current trends and challenges in this field are also summarized.

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“…Porous elasticity, see [26,27], is adopted here to capture the mechanical response from nanoindentation experiments on the DNA-filled viral capsid. It is assumed that the DNA distribution is uniform inside the capsid.…”

Section: Large-strain Isotropic Hyperelastic Modelmentioning

confidence: 99%

Modeling and simulation of the mechanical response from nanoindentation test of DNA-filled viral capsids

2013

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Viruses can be described as biological objects composed mainly of two parts: a stiff protein shell called a capsid, and a core inside the capsid containing the nucleic acid and liquid. In many double-stranded DNA bacterial viruses (aka phage), the volume ratio between the liquid and the encapsidated DNA is approximately 1:1. Due to the dominant DNA hydration force, water strongly mediates the interaction between the packaged DNA strands. Therefore, water that hydrates the DNA plays an important role in nanoindentation experiments of DNA-filled viral capsids. Nanoindentation measurements allow us to gain further insight into the nature of the hydration and electrostatic interactions between the DNA strands. With this motivation, a continuum-based numerical model for simulating the nanoindentation response of DNA-filled viral capsids is proposed here. The viral capsid is modeled as large-strain isotropic hyper-elastic material, whereas porous elasticity is adopted to capture the mechanical response of the filled viral capsid. The voids inside the viral capsid are assumed to be filled with liquid, which is modeled as a homogenous incompressible fluid. The motion of a fluid flowing through the porous medium upon capsid indentation is modeled using Darcy's law, describing the flow of fluid through a porous medium. The nanoindentation response is simulated using three-dimensional finite element analysis and the simulations are performed using the finite element code Abaqus. Force-indentation curves for empty, partially and completely DNA-filled capsids are directly compared to the experimental data for bacteriophage λ. Material parameters such as Young's modulus, shear modulus, and bulk modulus are determined by comparing computed force-indentation curves to the data from the atomic force microscopy (AFM) experiments. Predictions are made for pressure distribution inside the capsid, as well as the fluid volume ratio variation during the indentation test.

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Poromechanics

Cited by 805 publications

References 0 publications

Variational formulation of pre-stressed solid–fluid mixture theory, with an application to wave phenomena

Variational formulation of pre-stressed solid–fluid mixture theory, with an application to wave phenomena

Techniques for Computing Fabric Tensors: A Review

Modeling and simulation of the mechanical response from nanoindentation test of DNA-filled viral capsids

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