Study of the anisotropic elastic response of a foliated phyllite

2021 ◽  
pp. 1-31
Author(s):  
Felipe A. Villalobos ◽  
Paula A. Rodríguez ◽  
Miguel Vera
Keyword(s):  
Elastic Response ◽  
Anisotropic Elastic

scholarly journals X-ray strain analysis of {111} fiber-textured thin films independent of grain-interaction models

2011 ◽  
Vol 44 (2) ◽  
pp. 409-413 ◽  
Author(s):  
D. Faurie ◽  
P.-O. Renault ◽  
E. Le Bourhis ◽  
T. Chauveau ◽  
O. Castelnau ◽  
...  
Keyword(s):  
Thin Films ◽  
Single Crystal ◽  
Strain Analysis ◽  
Direct Determination ◽  
Fiber Texture ◽  
Elastic Response ◽  
Diffraction Measurement ◽  
X Ray ◽  
Anisotropic Elastic

The anisotropic elastic response of supported thin films with a {111} fiber texture has been studied using anin-situmicro-tensile tester and X-ray diffractometry. It is shown which specific X-ray diffraction measurement geometries can be used to analyze the elastic strains in thin films without requiring any assumptions regarding elastic interactions between grains. It is evidenced (theoretically and experimentally) that the combination of two specific geometries leads to a simple linear relationship between the measured strains and the geometrical variable sin2ψ, avoiding the transition scale models. The linear fit of the experimental data allows a direct determination of the relationship between the three single-crystal elastic compliances or a direct determination of theS44single-crystal elastic compliance and the combination ofS11+ 2S12if the macroscopic stress is known. This methodology has been applied to a model system,i.e.gold film for which no size effect is expected, deposited on polyimide substrate, and it was found thatS44= 23.2 TPa−1andS11+ 2S12= 1.9 TPa−1, in good accordance with values for large crystals of gold.

A convenient form of the multiplicative decomposition of the deformation gradient

2016 ◽  
Vol 22 (3) ◽  
pp. 528-537 ◽  
Author(s):  
James Casey
Keyword(s):  
Continuum Mechanics ◽  
Deformation Gradient ◽  
Material Point ◽  
Elastic Response ◽  
Multiplicative Decomposition ◽  
Convenient Form ◽  
Two Factors ◽  
Elastic Process ◽  
Independent Variable ◽  
Anisotropic Elastic

For many purposes in continuum mechanics it has been found useful to decompose the deformation gradient into two factors, which result from some elastic process through which destressing is achieved at a material point. There is an essential rotational non-uniqueness in these factors; however, some subfactors are uniquely defined. In particular, a certain unique right stretch tensor is identified, which serves as a convenient independent variable for describing the anisotropic elastic response of a solid from its evolving stress-free intermediate configurations.

scholarly journals Crystallographic texture dependent bulk anisotropic elastic response of additively manufactured Ti6Al4V

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Mangesh V. Pantawane ◽  
Teng Yang ◽  
Yuqi Jin ◽  
Sameehan S. Joshi ◽  
Sriswaroop Dasari ◽  
...  
Keyword(s):  
Shear Wave ◽  
Crystallographic Texture ◽  
Elastic Anisotropy ◽  
Shear Velocity ◽  
Elastic Response ◽  
Powder Bed ◽  
Significant Attenuation ◽  
Texture Effect ◽  
Anisotropic Elastic ◽  
Combined Technique

AbstractRapid thermokinetics associated with laser-based additive manufacturing produces strong bulk crystallographic texture in the printed component. The present study identifies such a bulk texture effect on elastic anisotropy in laser powder bed fused Ti6Al4V by employing an effective bulk modulus elastography technique coupled with ultrasound shear wave velocity measurement at a frequency of 20 MHz inside the material. The combined technique identified significant attenuation of shear velocity from 3322 ± 20.12 to 3240 ± 21.01 m/s at 45$$^\circ$$ ∘ and 90$$^\circ$$ ∘ orientations of shear wave plane with respect to the build plane of printed block of Ti6Al4V. Correspondingly, the reduction in shear modulus from 48.46 ± 0.82 to 46.40 ± 0.88 GPa was obtained at these orientations. Such attenuation is rationalized based on the orientations of $$\alpha ^\prime$$ α ′ crystallographic variants within prior columnar $$\beta$$ β grains in additively manufactured Ti6Al4V.

INVERSION OF ANISOTROPIC ELASTIC CONSTANTS AND MUD SPEED USING BOREHOLE SONIC MODES

2020 ◽  
Author(s):  
Ting Lei ◽  
◽  
Romain Prioul ◽  
Adam Donald ◽  
Edgar Ignacio Velez Arteaga ◽  
...  
Keyword(s):  
Elastic Constants ◽  
Anisotropic Elastic

scholarly journals Black rubber and the non-linear elastic response of scale invariant solids

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Matteo Baggioli ◽  
Víctor Cáncer Castillo ◽  
Oriol Pujolàs
Keyword(s):  
Strain Curve ◽  
Effective Field ◽  
Elastic Response ◽  
Elastic Behaviour ◽  
Scale Invariant ◽  
Stress Strain ◽  
Nonlinear Stress ◽  
Hyper Elastic ◽  
Simple Class ◽  
Nonlinear Elastic

Abstract We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry. In the latter case, one can employ effective field theory methods, whereas in the former we use holographic methods. We focus on a simple class of holographic models that exhibit elastic behaviour, and obtain their nonlinear stress-strain curves as well as an estimate of the elasticity bounds — the maximum possible deformation in the elastic (reversible) regime. The bounds differ substantially in the manifest or spontaneously broken SI cases, even when the same stress- strain curve is assumed in both cases. Additionally, the hyper-elastic subset of models (that allow for large deformations) is found to have stress-strain curves akin to natural rubber. The holographic instances in this category, which we dub black rubber, display richer stress- strain curves — with two different power-law regimes at different magnitudes of the strain.

Manufacturing a carbon/epoxy NACA 23018 airfoil skin using a circular braiding machine: experimental and numerical study

2021 ◽  
pp. 152808372199377
Author(s):  
Jalil Hajrasouliha ◽  
Mohammad Sheikhzadeh
Keyword(s):  
Numerical Study ◽  
Filament Winding ◽  
Bending Test ◽  
Elastic Response ◽  
Manufacturing Processes ◽  
Fiber Reinforced Composite ◽  
Four Point Bending ◽  
Reinforced Composite ◽  
Four Point Bending Test ◽  
Meso Scale

In the interest of reducing the weight and also cost of blade skins, various automatic preform manufacturing processes were developed including tape laying, filament winding and braiding. Among them, the circular braiding process was found to be an efficient method in producing seamless preforms on mandrels with various geometries. In this regard, an attempt was made to produce a carbon fiber reinforced composite with the shape of NACA 23018 airfoil using a circular braiding machine. Thus, suitable wooden mandrels were manufactured using NACA 23018 airfoil coordinates, which were obtained by assuming the perimeter of 20 cm. Furthermore, both biaxially and triaxially braided preforms were produced and subsequently impregnated with epoxy resin through an appropriate fabrication method. To assess their performance, four-point bending test was carried out on samples. Ultimately, the elastic response of braided composite airfoils was predicted using a meso-scale finite element modeling and was validated with experimental results.

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