Mathematical and computational modeling of flexoelectricity

نویسندگان

چکیده

We first revisit the mathematical modeling of flexoelectric effect in context continuum mechanics at infinitesimal deformations. establish and clarify relation between different formulations, point out theoretical numerical issues related to resulting boundary value problems, present natural extension finite then a simple B-spline based computational technique numerically solve associated which can be extended handle unfitted meshes, hence allowing for arbitrarily-shaped geometries. Several examples illustrate benchmark setups, as well new devices metamaterials engineered sensing or actuation.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mathematical Modeling / Computational Mathematics

My research is focused on mathematical modeling in the interdisciplinary areas of materials science and crystal growth and on development of advanced computational methods for tracking material/fluid surfaces and interfaces. Primarily, I am interested in modeling formation of a micro(nano)structure arrays as a result of the morphological (shape) instabilities of a solid film surfaces, material ...

متن کامل

Mathematical Modeling and Computational Methods for Electrostatic

OF THE DISSERTATION Mathematical Modeling and Computational Methods for Electrostatic Interactions with Application to Biological Molecules

متن کامل

Mathematical and Computational Modeling of Tonality - Theory and Applications

We may not be able to make you love reading, but mathematical and computational modeling of tonality theory and applications international series in operations research management science will lead you to love reading starting from now. Book is the window to open the new world. The world that you want is in the better stage and level. World will always guide you to even the prestige stage of th...

متن کامل

Mathematical and Computational Modeling of Neurons and Neuronal Ensembles

In Computational Neuroscience, mathematical and computationalmodeling are differentiated. In this paper, both kinds ofmodeling are considered. In particular, modeling approaches to signal generation and processing in single neurons (i.e., membrane excitation dynamics, spike propagation, and dendritic integration) and to spatiotemporal activity patterns in neuronal ensembles are discussed.

متن کامل

Methane in Subsurface: Mathematical Modeling and Computational Challenges

We discuss mathematical and computational models of two applications important for global climate and energy recovery involving the evolution of methane gas in the subsurface. In particular, we develop advanced models of adsorption occuring in coalbed methane recovery processes, and discuss the underlying conservation laws with non-standard terms. Next we describe the phase transitions relevant...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Applied Physics

سال: 2021

ISSN: ['1089-7550', '0021-8979', '1520-8850']

DOI: https://doi.org/10.1063/5.0067852