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Related papers: Technical Report: Modeling of Composite Piezoelect…

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1-3 type, 1-3-2 type and 2-1-3 type piezoelectric composites are three proper smart materials for the design and manufacture of ultrasonic transducers. They have been proposed in different stages but possess similar properties. Compared…

Applied Physics · Physics 2018-04-02 Y. Sun , B. Hua

Electrical machines commonly consist of moving and stationary parts. The field simulation of such devices can be very demanding if the underlying numerical scheme is solely based on a domain discretization, such as in case of the Finite…

Computational Engineering, Finance, and Science · Computer Science 2017-09-18 Lars Kielhorn , Thomas Rüberg , Jürgen Zechner

We propose and analyze a combined finite volume--nonconforming finite element scheme on general meshes to simulate the two compressible phase flow in porous media. The diffusion term, which can be anisotropic and heterogeneous, is…

Numerical Analysis · Mathematics 2013-06-13 Bilal Saad , Mazen Saad

We present a hybrid mimetic finite-difference and virtual element formulation for coupled single-phase poromechanics on unstructured meshes. The key advantage of the scheme is that it is convergent on complex meshes containing highly…

Numerical Analysis · Mathematics 2021-06-09 Andrea Borio , François Hamon , Nicola Castelletto , Joshua A. White , Randolph R. Settgast

As inelastic structures are ubiquitous in many engineering fields, a central task in computational mechanics is to develop accurate, robust and efficient tools for their analysis. Motivated by the poor performances exhibited by standard…

Numerical Analysis · Mathematics 2018-09-21 Nicola A. Nodargi

Existing smart composite piezoelectric beam models in the literature mostly ignore the electro-magnetic interactions and adopt the linear elasticity theory. However, these interactions substantially change the controllability and…

Optimization and Control · Mathematics 2018-03-21 Ahmet Ozkan Ozer

We propose a two-scale finite element method designed for heterogeneous microstructures. Our approach exploits domain diffeomorphisms between the microscopic structures to gain computational efficiency. By using a conveniently constructed…

Numerical Analysis · Mathematics 2024-10-24 Omar Richardson , Omar Lakkis , Adrian Muntean , Chandrasekhar Venkataraman

We consider a composite piezoelectric material whose reference configuration is a thin shell with fixed thickness. In this work, we give a new approach based on the periodic unfolding method to justify the modelling of a thin piezoelectric…

Numerical Analysis · Mathematics 2007-10-03 Houari Mechkour

This work describes models and numerical approximations that describe the mechanical behavior of deformable continua with embedded structural members, such as rigid bodies, beams, shells, etc. The continuum formulation extends an idea first…

Numerical Analysis · Mathematics 2025-09-10 David Portillo , Ignacio Romero

This paper studies a model of two-phase flow with an immersed material viscous interface and a finite element method for numerical solution of the resulting system of PDEs. The interaction between the bulk and surface media is characterized…

Numerical Analysis · Mathematics 2021-06-08 Maxim Olshanskii , Annalisa Quaini , Qi Sun

A system model is used, describing the voltage-to-voltage transfer function for an ultrasonic transmit-receive transducer pair based on simulations using a finite element model for piezoelectric transducers (FEMP). The piezoelectric ceramic…

Applied Physics · Physics 2019-05-22 Renate Grindheim , Per Lunde , Magne Vestrheim

A magnetizable piezoelectric beam model, free at both ends, is considered. Piezoelectric materials have a strong interaction of electromagnetic and acoustic waves, whose wave propagation speeds differ substantially. The corresponding…

Analysis of PDEs · Mathematics 2024-03-14 Ahmet Ozkan Ozer , Uthman Rasaq , Ibrahim Khalilullah

We introduce a new Eulerian simulation framework for liquid animation that leverages both finite element and finite volume methods. In contrast to previous methods where the whole simulation domain is discretized either using the finite…

Graphics · Computer Science 2023-01-18 Tatsuya Koike , Shigeo Morishima , Ryoichi Ando

This paper presents an integrated multiphysics simulation approach of piezoelectric micropumps. Micropumps and micro blowers are essential devices in various cutting-edge industries like laboratory equipment, medical devices, and fuel…

Fluid Dynamics · Physics 2025-03-05 AmirHossein Ghaemi , Abbas Ebrahimi , Majid Hajipour

We study countable embedding-universal and homomorphism-universal structures and unify results related to both of these notions. We show that many universal and ultrahomogeneous structures allow a concise description (called here a finite…

Combinatorics · Mathematics 2010-09-06 Jan Hubicka

Piezoelectricity of organic polymers has attracted increasing interest because of several advantages they exhibit over traditional inorganic ceramics. While most organic piezoelectrics rely on the presence of intrinsic local dipoles, a…

Materials Science · Physics 2025-06-06 Stefano Paolo Villani , Marco Campetella , Paolo Barone , Francesco Mauri

One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contribution, two strategies to…

Materials Science · Physics 2009-08-12 P. Gruber , J. Zeman , J. Kruis , M. Sejnoha

In this contribution, typical friction driven structures are summarized and presented considering the mechanical structures and operation principles of different types of piezoelectric motors. A two degree-of-freedom dynamic model with one…

Chaotic Dynamics · Physics 2017-04-05 Weiting Liu , Maoying Zhou , Xiaodong Ruan , Xin Fu

An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features independent displacement, velocity and stress variables and is…

Numerical Analysis · Mathematics 2026-05-11 Philipp L. Kinon , Simon R. Eugster , Peter Betsch

The focus of this paper is on the analysis of a semi-infinite crack lying along a perfect interface in a piezoelectric bimaterial with arbitrary loading on the crack faces. Making use of the extended Stroh formalism for piezoelectric…

Mathematical Physics · Physics 2016-10-12 L. Pryce , L. Morini , D. Andreeva , A. Zagnetko