Multiparametric Modelling of Anisotropic Elastic Properties of Shales

Author(s):  
A. Yurikov ◽  
M. Pervukhina ◽  
R. Beloborodov ◽  
M. Lebedev
2016 ◽  
Vol 125 ◽  
pp. 85-100 ◽  
Author(s):  
Praveen K. Srivastava ◽  
Chaman Chandel ◽  
Puneet Mahajan ◽  
Pankaj Pankaj

Carbon ◽  
2019 ◽  
Vol 144 ◽  
pp. 109-115 ◽  
Author(s):  
Zhiyong Wei ◽  
Fan Yang ◽  
Kedong Bi ◽  
Juekuan Yang ◽  
Yunfei Chen

Materials ◽  
2022 ◽  
Vol 15 (2) ◽  
pp. 638
Author(s):  
Ofer Tevet ◽  
David Svetlizky ◽  
David Harel ◽  
Zahava Barkay ◽  
Dolev Geva ◽  
...  

Additively manufactured (AM) materials and hot rolled materials are typically orthotropic, and exhibit anisotropic elastic properties. This paper elucidates the anisotropic elastic properties (Young’s modulus, shear modulus, and Poisson’s ratio) of Ti6Al4V alloy in four different conditions: three AM (by selective laser melting, SLM, electron beam melting, EBM, and directed energy deposition, DED, processes) and one wrought alloy (for comparison). A specially designed polygon sample allowed measurement of 12 sound wave velocities (SWVs), employing the dynamic pulse-echo ultrasonic technique. In conjunction with the measured density values, these SWVs enabled deriving of the tensor of elastic constants (Cij) and the three-dimensional (3D) Young’s moduli maps. Electron backscatter diffraction (EBSD) and micro-computed tomography (μCT) were employed to characterize the grain size and orientation as well as porosity and other defects which could explain the difference in the measured elastic constants of the four materials. All three types of AM materials showed only minor anisotropy. The wrought (hot rolled) alloy exhibited the highest density, virtually pore-free μCT images, and the highest ultrasonic anisotropy and polarity behavior. EBSD analysis revealed that a thin β-phase layer that formed along the elongated grain boundaries caused the ultrasonic polarity behavior. The finding that the elastic properties depend on the manufacturing process and on the angle relative to either the rolling direction or the AM build direction should be taken into account in the design of products. The data reported herein is valuable for materials selection and finite element analyses in mechanical design. The pulse-echo measurement procedure employed in this study may be further adapted and used for quality control of AM materials and parts.


2010 ◽  
Vol 43 (10) ◽  
pp. 1857-1863 ◽  
Author(s):  
V. Sansalone ◽  
S. Naili ◽  
V. Bousson ◽  
C. Bergot ◽  
F. Peyrin ◽  
...  

1988 ◽  
Vol 21 (10) ◽  
pp. 879 ◽  
Author(s):  
J.M. Crolet ◽  
B. Aoubiza ◽  
A. Meunier

Author(s):  
Justin M. Deuerling ◽  
Weimin Yue ◽  
Alejandro A. Espinoza ◽  
Ryan K. Roeder

The elastic constants of cortical bone are orthotropic or transversely isotropic depending on the anatomic origin of the tissue. Micromechanical models have been developed to predict anisotropic elastic properties from structural information. Many have utilized microstructural features such as osteons, cement lines and Haversian canals to model the tissue properties [1]. Others have utilized nanoscale features to model the mineralized collagen fibril [2]. Quantitative texture analysis using x-ray diffraction techniques has shown that elongated apatite crystals exhibit a preferred orientation in the longitudinal axis of the bone [3]. The orientation distribution of apatite crystals provides fundamental information influencing the anisotropy of the extracellular matrix (ECM) but has not been utilized in existing micromechanical models.


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