Results 51 to 60 of about 157,314 (198)
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman+3 more
wiley +1 more source
Biquadratic Tensors: Eigenvalues and Structured Tensors [PDF]
The covariance tensors in statistics{, elasticity tensor in solid mechanics, Riemann curvature tensor in relativity theory are all biquadratic tensors that are weakly symmetric, but not symmetric in general. Motivated by this, in this paper, we consider nonsymmetric biquadratic tensors, and study possible conditions and algorithms for identifying ...
arxiv
New Classes of Positive Semi-Definite Hankel Tensors [PDF]
A Hankel tensor is called a strong Hankel tensor if the Hankel matrix generated by its generating vector is positive semi-definite. It is known that an even order strong Hankel tensor is a sum-of-squares tensor, and thus a positive semi-definite tensor. The SOS decomposition of strong Hankel tensors has been well-studied by Ding, Qi and Wei \cite{DQW1}.
arxiv
A Bio‐Inspired Perspective on Materials Sustainability
This perspective discusses natural materials as inspiration for sustainable engineering designs and the processing of materials. First, circularity, longevity, parsimony, and activity are presented as essential material paradigms. The perspective then uses many examples of natural and technical materials to introduce principles such as oligo ...
Wolfgang Wagermaier+2 more
wiley +1 more source
Protein can undergo liquid–liquid phase separation and liquid‐to‐solid transition to form liquid condensates and solid aggregates. These phase transitions can be influenced by post‐translational modifications, mutations, and various environmental factors.
Tianchen Li+3 more
wiley +1 more source
This article investigates the micromechanics of bamboo epidermis, focusing on how anisotropic silica particle distributions enhance toughness. By integrating experimental imaging, 3D printing, and generative AI, the study develops bio‐inspired particle‐reinforced composites with mechanical properties akin to bamboo.
Zhao Qin, Aymeric Pierre Destree
wiley +1 more source
Triangular Decomposition of Third Order Hermitian Tensors [PDF]
We define lower triangular tensors, and show that all diagonal entries of such a tensor are eigenvalues of that tensor. We then define lower triangular sub-symmetric tensors, and show that the number of independent entries of a lower triangular sub-symmetric tensor is the same as that of a symmetric tensor of the same order and dimension.
arxiv
Light‐Emitting Diodes Based on Metal Halide Perovskite and Perovskite Related Nanocrystals
The review covers the past and current developments in light‐emitting diodes (LEDs) exploiting nanocrystals of halide perovskites and perovskite‐related materials. The review examines the aspects of material optimizations, device engineering, and applications.
Ying Liu+7 more
wiley +1 more source
Hankel Tensors: Associated Hankel Matrices and Vandermonde Decomposition [PDF]
Hankel tensors arise from applications such as signal processing. In this paper, we make an initial study on Hankel tensors. For each Hankel tensor, we associate it with a Hankel matrix and a higher order two-dimensional symmetric tensor, which we call the associated plane tensor.
arxiv
Wood and cellulose are the most abundant and important sustainable materials on the planet at the disposal to solve major societal challenges. This perspective, written for all materials scientists, highlights how breakthroughs in cellulose nanotechnology combined with functional nanomaterials can revolutionize important areas like construction ...
Mahiar Max Hamedi+5 more
wiley +1 more source