Rheology Effects on Predicted Fiber Orientation and Elastic Properties in Large Scale Polymer Composite Additive Manufacturing by Zhaogui Wang, Douglas E. Smith

“…Fiber orientation is computed using Advani–Tucker fiber orientation tensors. Finally, elastic properties in the extrudate are evaluated based from predicted fiber orientation distributions. …”
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Conformal conserved currents in embedding space by Jean-François Fortin, Wen-Jie Ma, Valentina Prilepina, Witold Skiba

“…With an eye on four-point conformal bootstrap equations for four conserved vector currents 〈JJJJ〉 and four energy-momentum tensors 〈TTTT〉, we mostly focus on conservation conditions for JJ O $$ \left\langle JJ\mathcal{O}\right\rangle $$ and TT O $$ \left\langle TT\mathcal{O}\right\rangle $$ . …”
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Seismic invisibility: elastic wave cloaking via symmetrized transformation media by Sophia R Sklan, Ronald Y S Pak, Baowen Li

“…However, as a true elastic wave cloak would generally require materials with stiffness tensors lacking the minor symmetry (implying asymmetric stress), the utility of such an elastic wave cloak has thus far been limited by the challenge of fabricating these materials. …”
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Canonical quasi-geodesic mappings of special pseudo-Riemannian spaces by Irina Kurbatova, M. Pistruil

“…We study special types of these mappings that preserve some tensors of an intrinsic nature.…”
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Transfer learning framework for multi-scale crack type classification with sparse microseismic networks by Arnold Yuxuan Xie, Bing Q. Li

“…Rock fracture mechanisms can be inferred from moment tensors (MT) inverted from microseismic events. However, MT can only be inverted for events whose waveforms are acquired across a network of sensors. …”
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Interaction effects from the elastodynamic scattering by two symmetric spherical cavities by Thomas L. Warren

“…Additionally, we employ both free and half-space fundamental solutions (Green’s displacement tensors) to investigate the elastodynamic scattering of an incident, plane, time-harmonic longitudinal wave in the frequency domain of a homogeneous, isotropic, and linear elastic solid with one or two spherical cavities. …”
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Insights into Batch Selection for Event-Camera Motion Estimation by Juan L. Valerdi, Chiara Bartolozzi, Arren Glover

“…In this paper, we use neural networks for rotational motion estimation as a scenario to investigate the appropriate selection of event batches to populate input tensors. Our results show that batch selection has a large impact on the results: training should be performed on a wide variety of different batches, regardless of the batch selection method; a simple fixed-time window is a good choice for inference with respect to fixed-count batches, and it also demonstrates comparable performance to more complex methods. …”
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In defense of local descriptor-based few-shot object detection by Shichao Zhou, Haoyan Li, Zhuowei Wang, Zekai Zhang

“…The obtained embeddings as pattern vectors/tensors permit us an accelerated but non-parametric visual similarity computation as the decision rule for final detection. …”
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Study on dispersion and wave velocity in 2D elliptic granular crystals by a micromechanics-based micromorphic model by Chenxi Xiu, Xihua Chu

“…Using a micromechanics-based micromorphic model, macroscopic micromorphic constitutive modulus tensors of elliptic granular crystals are obtained. …”
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Application of DFT and TD-DFT on Langmuir Adsorption of Nitrogen and Sulfur Heterocycle Dopants on an Aluminum Surface Decorated with Magnesium and Silicon by Fatemeh Mollaamin, Majid Monajjemi

“…Al-Si(14), Al-Si(19), and Al-Si(21) in the Al-Mg-Si alloy surface with the highest fluctuation in the shielding tensors of the “NMR” spectrum generated by intra-atomic interaction directed us to the most influence in the neighbor atoms generated by interatomic reactions of N → Al, O → Al, and S → Al through the coating and adsorbing process of Langmuir adsorption. …”
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Unraveling the Evolution of an Unusually Active Earthquake Sequence Near Sheldon, Nevada by Daniel Trugman, William Savran, Christine Ruhl, Kenneth Smith

“…Inversion of hundreds of moment tensors constrain the overall normal faulting stress regime. …”
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A decomposition method for global evaluation of shannon entropy and local estimations of algorithmic complexity by Zenil, H, Soler-Toscano, F, Kiani, N, Hernández-Orozco, S, Rueda-Toicen, A

“…The measure may be adapted for use with more multi-dimensional objects than strings, objects such as arrays and tensors. To test the measure we provide proofs of the algorithmic complexity relations among dual, isomorphic and cospectral graphs. …”

Mechanobiological modelling of tendons: Review and future opportunities by Thompson, M, Bajuri, M, Khayyeri, H, Isaksson, H

“…Signals mayinclude scalars derived from the stress or strain tensors, or in poroelasticity also fluid velocity, while adaptation may be represented by changes to elastic modulus, permeability, fibril density or orientation. …”

Exploring template-bound dinuclear copper porphyrin nanorings by EPR spectroscopy by Richert, S, Cremers, J, Anderson, H, Timmel, C

“…DFT calculations of the hyperfine coupling tensors support the assignment of the measured couplings to the nuclei within the structure and reproduce the experimentally observed trends. …”

A bioimage informatics approach to automatically extract complex fungal networks. by Obara, B, Grau, V, Fricker, M

“…RESULTS: We have developed and evaluated a high-throughput automated image analysis and processing approach using Phase Congruency Tensors and watershed segmentation to characterize complex fungal networks. …”

Exploring template-bound dinuclear copper porphyrin nanorings by EPR spectroscopy by Richert, S, Cremers, J, Anderson, H, Timmel, C

“…DFT calculations of the hyperfine coupling tensors support the assignment of the measured couplings to the nuclei within the structure and reproduce the experimentally observed trends. …”

Entropy: An Inspiring Tool for Characterizing Turbulence–Combustion Interaction in Swirling Flames via Direct Numerical Simulations of Non-Premixed and Premixed Flames by Jingke Su, Anxiong Liu, Hualin Xiao, Kun Luo, Jianren Fan

“…The shear production term increases with the entropy due to the upgrading alignment of the eigenvectors of strain rate and Reynolds stress tensors.…”
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Analytical Solution of Thermo–Mechanical Properties of Functionally Graded Materials by Asymptotic Homogenization Method by Dan Chen, Lisheng Liu, Liangliang Chu, Qiwen Liu

“…Consequently, the closed–form formulas for the effective thermo–mechanical coupling tensors are obtained, based on the solutions of local problems of FGMs with the periodic boundary conditions. …”
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Large Enhancements in Optical and Piezoelectric Properties in Ferroelectric Zn1‐xMgxO Thin Films through Engineering Electronic and Ionic Anharmonicities by Rui Zu, Gyunghyun Ryu, Kyle P. Kelley, Steven M. Baksa, Leonard C. Jacques, Bo Wang, Kevin Ferri, Jingyang He, Long‐Qing Chen, Ismaila Dabo, Susan Trolier‐McKinstry, Jon‐Paul Maria, Venkatraman Gopalan

“…Though very different phenomena at distinct frequencies, both second‐order optical nonlinearity and piezoelectricity are third‐rank polar tensors present only in acentric crystal structures. …”
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Properties of Bilayer Graphene Quantum Dots for Integrated Optics: An Ab Initio Study by Majid Ghandchi, Ghafar Darvish, Mohammad Kazem Moravvej-Farshi

“…Using a first-principles study based on density functional theory (DFT) and thermal DFT, we investigated the electronic structures and optical properties of bilayer graphene quantum dots (GQDs). The dielectric tensors, absorption spectra, and the refractive indexes of the bilayer GQDs were obtained for both in-plane and out-of-plane polarization. …”
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