A two-scale homogenization analysis of porous magneto-electric two-phase composites

Labusch, Matthias; Schröder, Jörg

doi:10.1007/s00419-018-01500-1

Cited by 14 publications

(7 citation statements)

References 49 publications

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“…To connect the macro-and microscale in FE 2 , it is important to discuss the transition between the scales. The Hill-Mandel conditions [33,34,35,36,37,38] have to be fulfilled, guaranteeing energy conservation during the scale transition. Thus, the virtual work on the macroscale has to be equal to the virtual work on the microscale:…”

Section: Transition Between the Scalesmentioning

confidence: 99%

Multiscale modeling of cancellous bone considering full coupling of mechanical, electrical and magnetic effects

Blaszczyk,

Hackl

2021

Preprint

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Modeling of cancellous bone has important applications in the detection and treatment of fatigue fractures and diseases like osteoporosis. In this paper, we present a fully coupled multiscale approach considering mechanical, electrical and magnetic effects by using the multiscale finite element method and a two-phase material model on the microscale. We show numerical results for both scales, including calculations for a femur bone, comparing a healthy bone to ones affected by different stages of osteoporosis. Here, the magnetic field strength resulting from a small mechanical impact decreases drastically for later stages of the disease, confirming experimental research.

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Section: Transition Between the Scalesmentioning

confidence: 99%

Multiscale modeling of cancellous bone considering full coupling of mechanical, electrical and magnetic effects

Blaszczyk,

Hackl

2021

Preprint

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“…Due to the piezoelectric effect of various materials, electrical signals are converted into machine vibrations. The working principle of medical ultrasonic transducer (ultrasound probe) is also roughly the same, it generally contains a set of mechanical vibration control system [9].When the transducer is used as a transmitter, the power oscillation information brought by the excitation power supply will cause the charge and magnetism of the electric energy storage device in the transducer to change. These changes use an action effect to form a driving force for the mechanical vibration system in the transducer and make it enter an oscillation state.…”

Section: Smart Medical Ultrasound Diagnosis Transducermentioning

confidence: 99%

1-3 Piezoelectric Composite Ferroelectric Materials in Smart Medical Ultrasonic Diagnostic Transducers

2021

IJHPM

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Piezoelectric ultrasonic transducer is the most important functional device in the field of ultrasound, as an important part of piezoelectric ultrasonic transducer-piezoelectric material, the improvement of its performance plays an important role in promoting the innovation and development of piezoelectric ultrasonic transducers. This article aims to conduct a finite element study based on the 1-3 piezoelectric composite ferroelectric material of the smart medical ultrasonic diagnostic transducer. In this article, the working principle and function of the ultrasonic transducer are explained first. The ultrasonic transducer is classified, and the FEM analysis of the 1-3 piezoelectric composite ferroelectric material and the ANSYS FEM analysis method are introduced. The influence of PZT volume fraction, aspect ratio and the number of primitives on the finite element model of the 1-3 spherical-crown piezoelectric composite is mainly discussed, and then verified by experiments and ANSYS performance analysis of ultrasonic diagnostic transducers. The research results show that the thickness electromechanical coupling factor of the 1-3 piezoelectric composite material is affected by the thickness electromechanical coupling coefficient of the piezoelectric phase material, the volume fraction of the piezoelectric phase, and the width-to-thickness ratio. When the aspect ratio is increased to 0.7, the electromechanical coupling coefficient of the thickness with a volume fraction of 80% is reduced by 79%.The electromechanical coupling coefficient of the thickness with a volume fraction of 60% is reduced by 73%, and the electromechanical coupling coefficient of the thickness with a volume fraction of 20% is reduced by 68%.

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“…Such field concentrations, in this case at the boundaries of the upper left inclusion, increase the piezoelectric effect and prefer a strain-induced ME coupling. A further major impact on the effective properties is given by pores at the interface of both constituents [8], see Figure 1(middle). The piezoelectric strains are not transferred to the magnetic inclusion via the pore such that the strain-induced coupling is impeded and the ME coefficient is reduced.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Magneto‐electric product properties of multiferroic composites

Labusch

Schröder

2019

Proc Appl Math and Mech

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Magneto‐electric (ME) composite materials enable a coupling between magnetization and electric polarization. This magneto‐electric coupling finds application in sensor technology and data storage devices. Since this coupling is a strain‐induced product property which arises due to the interaction of the different phases, suitable material models for the individual phases as well as microscopic defects, such as pores, have to be considered for precise numerical simulations. In this contribution we implemented suitable material models for both phases describing the behavior on the microscopic level and considered pores which influence the overall ME response. In order to determine the effective properties a two‐scale finite element (FE2) homogenization approach is performed. The remanent magnetization behavior is described using a Preisach operator whereas the remanent electric polarization arises due to a ferroelectric/‐elastic switching criterion based on a change in the free energy.

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A two-scale homogenization analysis of porous magneto-electric two-phase composites

Cited by 14 publications

References 49 publications

Multiscale modeling of cancellous bone considering full coupling of mechanical, electrical and magnetic effects

Multiscale modeling of cancellous bone considering full coupling of mechanical, electrical and magnetic effects

1-3 Piezoelectric Composite Ferroelectric Materials in Smart Medical Ultrasonic Diagnostic Transducers

Magneto‐electric product properties of multiferroic composites

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