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首页> 外文期刊>International Journal of Plasticity >Analytical solutions for elastic fields caused by eigenstrains in two joined and perfectly bonded half-spaces and related problems
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Analytical solutions for elastic fields caused by eigenstrains in two joined and perfectly bonded half-spaces and related problems

机译：两个连接且键合完美的半空间中本征应变引起的弹性场的解析解及相关问题

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This paper reports the derivation of the explicit integral kernels for the elastic fields due to eigenstrains in two joined and perfectly bonded half-space solids or bimaterials. The domain integrations of these kernels result in the analytical solutions to displacements and stresses. When the eigenstrains are all in solid I, the kernel for the elastic fields has four groups in this solid and two groups in the other joined solid. Explicit closed-form solutions for a cuboidal inclusion with uniform eigenstrains are derived as the basic solutions, i.e., the influence coefficients. When the computational domain is meshed into cuboidal elements of the same sizes, the total elastic fields can be quickly obtained by implementing three-dimensional fast Fourier transform-based algorithms. The results for the fields due to a cuboidal, a spherical, and a cylindrical inclusion, as well as multiple cuboidal inclusions are presented and discussed. Residual stresses in an elasto-plastic contact involved a coated substrate is further analyzed with the new solution approach. (C) 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
机译：本文报道了由于两个结合并完美结合的半空间实体或双材料中的本征应变导致的弹性场的显式积分核的推导。这些内核的域积分导致了位移和应力的解析解。当本征应变都在实体I中时，弹性场的核在此实体中具有四组，而在另一个连接的实体中具有两组。对于具有均匀特征应变的立方形包含的显式封闭形式解被导出为基本解，即影响系数。当将计算域划分为相同大小的立方形元素时，可以通过实施基于三维快速傅里叶变换的算法来快速获得总弹性场。提出并讨论了由于长方体，球形和圆柱状夹杂物以及多个长方体夹杂物引起的场的结果。使用新的解决方法可以进一步分析涉及涂层基材的弹塑性接触中的残余应力。 （C）2015作者。由Elsevier Ltd.发布。这是CC BY-NC-ND许可（http://creativecommons.org/licenses/by-nc-nd/4.0/）下的开放获取文章。

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