A Nonlinear Finite Element Method for Magnetoelectric Composite and the Study on the Influence of Interfacial Bonding

<table>Influence of interfacial bonding on ME coefficient. In the simulation, interfacial bonding is controlled by the shear module <svg height="15.6875" id="M149" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 18.637501 15.6875" width="18.637501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and thickness <svg height="14.4125" id="M150" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 12.125 14.4125" width="12.125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> of the bonding layer. Large value of <svg height="16.299999" id="M151" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 37.637501 16.299999" width="37.637501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,12.375,16.088)"><path d="M452 333q0 -82 -46 -164t-116 -128q-81 -53 -158 -53q-26 0 -51 13t-37 32q-26 41 -6 134l91 431q7 40 2.5 47t-34.5 7h-33l2 25q36 4 72.5 13t58.5 15.5t28 6.5q10 0 4 -29l-91 -391h2q65 77 130 116.5t105 39.5q36 0 56.5 -32t20.5 -83zM365 316q0 76 -35 76
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<g transform="matrix(.017,-0,0,-.017,18.575,12.013)"><path d="M368 703l-264 -866h-60l265 866h59z" id="x2F"></path></g><g transform="matrix(.017,-0,0,-.017,25.578,12.013)"><path d="M324 430l-26 -36l-112 -4l-55 -265q-13 -66 7 -66q13 0 44.5 20t50.5 40l17 -24q-38 -40 -85.5 -73.5t-87.5 -33.5q-50 0 -21 138l55 262h-80l-2 8l25 34h66l25 99l78 63l10 -9l-37 -153h128z" id="x1D461"></path></g>
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</svg> corresponds to good interfacial bonding. </table>

Mathematical Problems in Engineering

fig8

Figure 8

Figure 8: A Nonlinear Finite Element Method for Magnetoelectric Composite and the Study on the Influence of Interfacial Bonding 