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The axisymmetric problem of a disc in a bimaterial sandwich-the (history dependent) scalar potential case

机译:双材料夹层中圆盘的轴对称问题-(取决于历史)标量势情况

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摘要

The axisymmetric potential problem of a disc in a bimaterial sandwich is considered. A (history dependent) medium (2) with relaxation modulus G2 is sandwiched between a medium (1) with relaxation modulus G1. The two media are welded together. The interaction of a disc shaped region to a remote applied field is considered. In particular the variation of the potential field close to the rim of the disc as a function of the layer thickness and the material properties of the sandwich is investigated. A variety of asymptotic techniques are used to elucidate properties for both very small and very large values of the layer thickness and the results verified and extended to intermediate thickness by numerical solution of integral equations.
机译:考虑了双材料夹层中圆盘的轴对称电位问题。具有松弛模量G2的(历史相关的)介质(2)被夹在具有松弛模量G1的介质(1)之间。两种介质焊接在一起。考虑了盘形区域与远程应用场之间的相互作用。特别地,研究了接近盘的边缘的势场随层厚度和夹层材料特性的变化。各种渐近技术用于阐明非常小和非常大的层厚度值的特性,并通过积分方程的数值解验证了结果并将其扩展到中间厚度。

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