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A refined a priori error analysis of the lowest order (linear) nonconforming Virtual Element Method (VEM) for approximating a model Poisson problem is developed in both 2D and 3D. A set of new geometric assumptions is proposed on shape…

数值分析 · 数学 2019-05-17 Shuhao Cao , Long Chen

The isotropic elastic moduli closest to a given anisotropic elasticity tensor are defined using three definitions of elastic distance, the standard Frobenius (Euclidean) norm, the Riemannian distance for tensors, and the log-Euclidean norm.…

材料科学 · 物理学 2007-05-23 Andrew N. Norris

A $d$-dimensional Ising model on a lattice torus is considered. As the size $n$ of the lattice tends to infinity, a Poisson approximation is given for the distribution of the number of copies in the lattice of any given local configuration,…

概率论 · 数学 2009-11-11 David Coupier

The elastic moduli, elastic anisotropy coefficients, sound velocities and Poisson's ratio of hcp solid helium have been calculated using density functional theory in generalized gradient approximation (up to $30$ TPa), and pair+triple…

其他凝聚态物理 · 物理学 2015-06-19 A. Grechnev , S. M. Tretyak , Yu. A. Freiman , Alexander F. Goncharov , Eugene Gregoryanz

Automated Fiber Placement (AFP) technology provides a great ability to efficiently produce large carbon fiber reinforced composite structures with complex surfaces. AFP has a wide range of tow placement angles, and the users can design…

应用物理 · 物理学 2020-07-20 Koshiro Yamaguchi , Sean E. Phenisee , Zhisong Chen , Marco Salviato , Jinkyu Yang

Layered materials span a very broad range of solids ranging from van der Waals materials to highly complex crystal structures such as clays. They are commonly believed to have highly anisotropic properties, which is essentially attributed…

材料科学 · 物理学 2020-02-17 Jiawei Zhang , Lirong Song , Mattia Sist , Kasper Tolborg , Bo Brummerstedt Iversen

Anisotropic ideal strength is a fundamental and important plasticity parameter in scaling the intrinsic strength of strong crystalline materials, and is a potential descriptor in searching and designing novel hard/superhard materials.…

材料科学 · 物理学 2019-03-27 S. H. Zhang , Z. H. Fu , R. F. Zhang

We propose a predictive model for the mechanical behavior of biodegradable polymers of interest for biomedical applications. Starting from a detailed description of the network behavior of the copolymer material, taking care of bonds…

软凝聚态物质 · 物理学 2022-06-02 Gennaro Vitucci , Domenico De Tommasi , Giuseppe Puglisi , Francesco Trentadue

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

Mechanical metamaterials designed around a zero-energy pathway of deformation, known as a mechanism, have repeatedly challenged the conventional picture of elasticity. However, the complex spatial deformations these structures are able to…

软凝聚态物质 · 物理学 2022-05-30 Michael Czajkowski , D. Zeb Rocklin

Tetrahex-carbon is a recently predicted two dimensional (2D) carbon allotrope which is composed of tetragonal and hexagonal rings. Unlike flat graphene, this new 2D carbon structure is buckled, possesses a direct band gap ~ 2.6 eV and high…

材料科学 · 物理学 2020-04-01 Qun Wei , Guang Yang , Xihong Peng

A refined a priori error analysis of the lowest order (linear) Virtual Element Method (VEM) is developed for approximating a model two dimensional Poisson problem. A set of new geometric assumptions is proposed on shape regularity of…

数值分析 · 数学 2018-10-25 Shuhao Cao , Long Chen

This work presents a framework to predict near-optimal anisotropic spacing functions suitable to perform simulations with unseen operating conditions or geometric configurations. The strategy consists of utilising the vast amount of high…

计算工程、金融与科学 · 计算机科学 2025-04-02 Callum Lock , Oubay Hassan , Ruben Sevilla , Jason Jones

Naturally occurring materials are often disordered, with their bulk properties being challenging to predict from the structure, due to the lack of underlying crystalline axes. In this paper, we develop a digital pipeline from…

无序系统与神经网络 · 物理学 2025-04-15 Caitlyn Obrero , Mastawal Tirfe , Carmen Lee , Sourabh Saptarshi , Christopher Rock , Karen E. Daniels , Katherine A. Newhall

Mechanical metamaterials are engineered materials that gain their remarkable mechanical properties, such as negative Poisson's ratios, negative compressibility, phononic bandgaps, and topological phonon modes, from their structure rather…

软凝聚态物质 · 物理学 2017-03-07 D. Zeb Rocklin , Shangnan Zhou , Kai Sun , Xiaoming Mao

Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituents through the strategic spatial arrangement of the…

材料科学 · 物理学 2017-10-10 Duyu Chen , Salvatore Torquato

Rock formations often exhibit transversely anisotropic elastic behavior due to their layered structure. Such materials are characterized by five independent elastic constants. In the context of petroleum applications, it is often…

地球物理 · 物理学 2024-07-24 E. V. Dontsov

A scenario for yielding of granular matter is presented by considering the ensemble of force networks for a given contact network and applied shear stress $\tau$. As $\tau$ is increased, the probability distribution of contact forces…

无序系统与神经网络 · 物理学 2007-05-23 Jacco H. Snoeijer , Wouter G. Ellenbroek , Thijs. J. H. Vlugt , Martin van Hecke

We propose a class of microstructurally informed models for the linear elastic mechanical behavior of cross-linked polymer networks such as the actin cytoskeleton. Salient features of the models include the possibility to represent…

其他定量生物学 · 定量生物学 2008-02-27 Ronald Y. Kwon , Adrian J. Lew , Christopher R. Jacobs

Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a location-dependent performance and to boundary effects which are both often neglected in…

信息论 · 计算机科学 2014-01-03 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral