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Journal articles on the topic 'Quantification of elastic anisotropy by two different approaches'

Author: Grafiati

Published: 8 June 2024

Last updated: 31 July 2025

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1

Pagano, A. G., F. Rollo, V. Magnanimo, A. Tarantino, and A. Amorosi. "Discrete Element Method and Thermodynamics with Internal Variables: Two Complementary Approaches to Link Micro- and Macro-Scale Modelling of Anisotropic Clays." IOP Conference Series: Earth and Environmental Science 1480, no. 1 (2025): 012047. https://doi.org/10.1088/1755-1315/1480/1/012047.

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Abstract This paper presents some preliminary results of a multiscale approach based on the complementary use of the Discrete Element Method (DEM) and the Thermodynamics with Internal Variables (TIV) to model anisotropy of clays. Within this framework, two internal variables, namely porosity and fabric, describe the main features of clay mechanics and keep track of their evolution. In this perspective, DEM results allow to identify an efficient calibration procedure of the microscale model parameters, and to validate the ability of the thermodynamics-based formulation to account for the evolvi

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2

Maurel, Agnès, Jean-François Mercier, and Maurine Montagnat. "Critical investigation of calculation methods for the elastic velocities in anisotropic ice polycrystals." Cryosphere 10, no. 6 (2016): 3063–70. http://dx.doi.org/10.5194/tc-10-3063-2016.

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Abstract. Crystallographic texture (or fabric) evolution with depth along ice cores can be evaluated using borehole sonic logging measurements. These measurements provide the velocities of elastic waves that depend on the ice polycrystal anisotropy, and they can further be related to the ice texture. To do so, elastic velocities need to be inverted from a modeling approach that relate elastic velocities to ice texture. So far, two different approaches can be found. A classical model is based on the effective medium theory; the velocities are derived from elastic wave propagation in a homogeneo

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3

Genzel, Christoph, Manuela Klaus, Nico Hempel, Thomas Nitschke-Pagel, and Karen Pantleon. "Energy-dispersive X-ray stress analysis under geometric constraints: exploiting the material's inherent anisotropy." Journal of Applied Crystallography 56, no. 2 (2023): 526–38. http://dx.doi.org/10.1107/s1600576723001759.

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Two data evaluation concepts for X-ray stress analysis based on energy-dispersive diffraction on polycrystalline materials with cubic crystal structure, almost random crystallographic texture and strong single-crystal elastic anisotropy are subjected to comparative assessment. The aim is the study of the residual stress state in hard-to-reach measurement points, for which the sin2ψ method is not applicable due to beam shadowing at larger sample tilting. This makes the approaches attractive for stress analysis in engineering parts with complex shapes, for example. Both approaches are based on t

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4

Malmström, Mikael, Anton Jansson, and Bevis Hutchinson. "Application of Laser-Ultrasonics for Evaluating Textures and Anisotropy." Applied Sciences 12, no. 20 (2022): 10547. http://dx.doi.org/10.3390/app122010547.

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Various approaches are reviewed for determining elastic anisotropy and its coupling to crystallographic texture, with special reference to ultrasonic measurements. Two new methods are described for measuring the anisotropy of P-wave velocity using laser-ultrasonics. Making measurements across the diameter of a cylindrical specimen as it is rotated makes it possible to maintain a very constant known path length. This permits extremely accurate measurements with a precision of better than 0.01%. Results on 316 stainless steel in different conditions are compared with calculated values obtained f

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5

Alonso-Marroquin, Fernando, Hans Muhlhaus, and Hans Herrmann. "Micromechanical investigation of soil plasticity using a discrete model of polygonal particles." Theoretical and Applied Mechanics 35, no. 1-3 (2008): 11–28. http://dx.doi.org/10.2298/tam0803011a.

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The mechanical behavior of soils has been traditionally described using continuum-mechanics-based models. These are empirical relations based on laboratory tests of soil specimens. The investigation of the soils at the grain scale using discrete element models has become possible in recent years. These models have provided valuable understanding of many micromechanical aspects of soil deformation. The aim of this work is to draw together these two approaches in the investigation of the plastic deformation of non-cohesive soils. A simple discrete element model has been used to evaluate the effe

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6

Hupfeld, Stefan, Ann Mari Holsæter, Merete Skar, Christer B. Frantzen, and Martin Brandl. "Liposome Size Analysis by Dynamic/Static Light Scattering upon Size Exclusion-/Field Flow-Fractionation." Journal of Nanoscience and Nanotechnology 6, no. 9 (2006): 3025–31. http://dx.doi.org/10.1166/jnn.2006.454.

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The aim of the current study was to analyse the particle size distribution of a liposome dispersion, which contained small egg phosphatidylcholine vesicles and had been prepared by high-pressure homogenisation, by various size analysis techniques. Such liposomes were chosen since they can be looked at as a prototype of drug nano-carriers. Three sub-micron particle size analysis techniques were employed: (1) fixed-angle quasi-elastic laser light scattering or photon correlation spectroscopy (PCS), (2) size exclusion chromatographic (SEC) fractionation with subsequent (off-line) PCS size-analysi

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7

Suga, Hiroshi, Takafumi Fujiwara, Nobuhiro Kanai, and Masatoshi Kotera. "Secondary Electron Image Contrast in the Scanning Electron Microscope." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 1 (1990): 410–11. http://dx.doi.org/10.1017/s042482010018080x.

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An image contrast given in the scanning electron microscope(SEM) is due to differences in a detected number of secondary electrons (SE) coming from the specimen surface. The difference arises from the topographic, compositional and voltage features at the specimen surface. Two kinds of approaches have been taken for the quantification of SE images. One is to simulate electron trajectories in vacuum toward the detector, assuming the typical angular and energy distributions of electrons emitted from the specimen surface. However, the typical angular and energy distributions are not always applic

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8

Gupta, Aakash, Carl Tape, J. Michael Brown, and Thorsten W. Becker. "Navigating the space of seismic anisotropy for crystal and whole-Earth scales." Geophysical Journal International, April 10, 2025. https://doi.org/10.1093/gji/ggaf134.

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Summary Evidence of seismic anisotropy is widespread within the Earth, including from individual crystals, rocks, borehole measurements, active-source seismic data, and global seismic data. The seismic anisotropy of a material determines how wave speeds vary as a function of propagation direction and polarization, and it is characterized by density and the elastic map, which relates strain and stress in the material. Associated with the elastic map is a symmetric 6 × 6 matrix, which therefore has 21 parameters. The 21-dimensional space of elastic maps is vast and poses challenges for both theo

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9

Kamiński, Marcin. "On probabilistic entropies application in uniaxial deformation of hyper‐elastic materials." PAMM, November 2, 2023. http://dx.doi.org/10.1002/pamm.202300293.

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AbstractUncertainty quantification and reliability assessment for uniaxial tension of some hyper‐elastic material characterized by a few different constitutive equations is analyzed in this paper. The stretch of hyper‐elastic material is adopted as the Gaussian input with given expected value's range relevant to the experimentation and constant standard deviation. This goal is achieved with the use of the stochastic perturbation technique to calculate the first two probabilistic moments of the increasing tensile stress. Additionally, the Shannon probabilistic entropy fluctuations are determine

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10

Eça, L., K. Dowding, D. Moorcroft, and U. Ghia. "Comparison of the V&V10.1 and V&V20 Modeling Error Quantification Procedures for the V&V10.1 Example." Journal of Verification, Validation and Uncertainty Quantification 7, no. 2 (2022). http://dx.doi.org/10.1115/1.4053881.

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Abstract The determination of the transverse tip deflection of an elastic, hollow, tapered, cantilever, box beam under a uniform loading applied over half the length of the beam presented in the V&V10.1 standard is used to compare the application of the validation procedures presented in the V&V10.1 and V&V20 standards. Both procedures aim to estimate the modeling error of the mathematical/computational model used in the simulations taking into account the variability of the modulus of elasticity of the material used in the beam and the rotational flexibility at the clamped end of

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11

ElHalawani, Jaylan A., and Mostafa Youssef. "Evaluation of the direction-dependent mechanical properties of ideal single crystal metals: A comparative ab initio study." Modelling and Simulation in Materials Science and Engineering, February 3, 2025. https://doi.org/10.1088/1361-651x/adb16d.

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Abstract The anisotropy of crystal structures mandates the direction dependence of materials’ mechanical properties. Key properties of interest are the Young’s modulus and Poisson ratio in the small strain limit, and the ideal tensile strength in the large strain regime. To date, atomistic computations of these properties have been conducted using two approaches. The first approach explicitly calculates the stress-strain response using computational tensile test experiments. The second approach computes the single crystal elastic constants then derives the mechanical properties using analytica

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12

Cheng, Yan, David Lockner, Mandy Duda, et al. "Interlaboratory comparison of testing hydraulic, elastic, and failure properties in compression: lessons learned." Environmental Earth Sciences 82, no. 21 (2023). http://dx.doi.org/10.1007/s12665-023-11173-x.

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AbstractMany geoscientific problems require us to exploit synergies of experimental and numerical approaches, which in turn lead to questions regarding the significance of experimental details for validation of numerical codes. We report results of an interlaboratory comparison regarding experimental determination of mechanical and hydraulic properties of samples from five rock types, three sandstone varieties with porosities ranging from 5% to 20%, a marble, and a granite. The objective of this study was to build confidence in the participating laboratories’ testing approaches and to establis

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13

Wu, Dong, Xiaojing Tang, Shuaihao Zhang, and Xiangyu Hu. "Unified non-hourglass formulation for total Lagrangian SPH solid dynamics." Computational Mechanics, October 8, 2024. http://dx.doi.org/10.1007/s00466-024-02552-7.

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AbstractThe persistence of hourglass modes poses a significant numerical instability issue in total Lagrangian smoothed particle hydrodynamics (TLSPH) solid dynamics, especially when dealing with substantial deformations, regardless of material properties. However, existing hourglass control methods have shown effectiveness only within limited applications. Thus far, a comprehensive solution capable of addressing hourglass issues across a wide range of material models, including elasticity, plasticity, and anisotropy, remains elusive. In this study, we introduce a unified TLSPH formulation gro

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14

Kumar, M. Anil, K. E. N’souglo, N. Hosseini, N. Jacques, and J. A. Rodríguez-Martínez. "Theoretical predictions of dynamic necking formability of ductile metallic sheets with evolving plastic anisotropy and tension-compression asymmetry." International Journal of Material Forming 15, no. 4 (2022). http://dx.doi.org/10.1007/s12289-022-01696-2.

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AbstractIn this paper, we have investigated necking formability of anisotropic and tension-compression asymmetric metallic sheets subjected to in-plane loading paths ranging from plane strain tension to near equibiaxial tension. For that purpose, we have used three different approaches: a linear stability analysis, a nonlinear two-zone model and unit-cell finite element calculations. We have considered three materials –AZ31-Mg alloy, high purity α-titanium and OFHC copper– whose mechanical behavior is described with an elastic-plastic constitutive model with yielding defined by the CPB06 crite

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15

Kowalczyk-Gajewska, Katarzyna, Michał Maj, Kamil Bieniek, Michał Majewski, Kamil C. Opiela, and Tomasz G. Zieliński. "Cubic elasticity of porous materials produced by additive manufacturing: experimental analyses, numerical and mean-field modelling." Archives of Civil and Mechanical Engineering 24, no. 1 (2024). http://dx.doi.org/10.1007/s43452-023-00843-z.

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AbstractAlthough the elastic properties of porous materials depend mainly on the volume fraction of pores, the details of pore distribution within the material representative volume are also important and may be the subject of optimisation. To study their effect, experimental analyses were performed on samples made of a polymer material with a predefined distribution of spherical voids, but with various porosities due to different pore sizes. Three types of pore distribution with cubic symmetry were considered and the results of experimental analyses were confronted with mean-field estimates a

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16

Aiman, Y. A., A. A. Delorey, Y. Lu, and G. Bokelmann. "SHmax orientation in the Alpine region from observations of stress-induced anisotropy of nonlinear elasticity." Geophysical Journal International, September 13, 2023. http://dx.doi.org/10.1093/gji/ggad353.

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Summary The orientation of SHmax is commonly estimated from in-situ borehole breakouts and earthquake focal mechanisms. Borehole measurements are expensive, and therefore sparse, and earthquake measurements can only be made in regions with many well-characterized earthquakes. Here we derive the stress-field orientation using stress-induced anisotropy in nonlinear elasticity. In this method, we measure the strain derivative of velocity as a function of azimuth. We use a natural pump-probe approach which consists of measuring elastic wave speed using empirical Green’s functions (probe) at differ

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17

Bennis, Mohamed, and Carlos Torres-Verdín. "PETROPHYSICAL INTERPRETATION OF LOGGING-WHILE-DRILLING BOREHOLE MEASUREMENTS IN THE PRESENCE OF ELECTRICAL ANISOTROPY, MUD-FILTRATE INVASION, NOISE, AND WELL-DEVIATION EFFECTS." GEOPHYSICS, August 10, 2023, 1–92. http://dx.doi.org/10.1190/geo2023-0075.1.

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Petrophysical interpretation of logging-wile-drilling (LWD) borehole measurements in the presence of electrical anisotropy, mud-filtrate invasion, measurement noise, and well-deviation effects remains a challenge in formation evaluation. In high-angle and horizontal wells penetrating electrically anisotropic sandstones, phase and attenuation apparent resistivity logs exhibit different values that are larger than resistivity parallel to bedding planes. Consequently, traditional interpretation methods often overestimate hydrocarbon saturation when using the deep-sensing apparent resistivity logs

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