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Response of fractional ordered micropolar thermoviscoelastic half-space with diffusion due to ramp type mechanical load

机译：分数阶微极性热粘弹性半空间的响应，由于斜面型机械载荷的扩散

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摘要

The current manuscript is devoted to scrutinize the effects of fractional parameter, microp-olarity and diffusion on the interactions caused by a ramp type mechanical shock in a generalized thermo-viscoelastic solid half-space. The medium is assumed to be unstrained and unstressed initially and has uniform temperature. The problem has been modeled by employing the fractional generalization of the Lord-Shulman theory to carry the investigation. The governing equations in xz-plane are handled with an analytical-numerical technique based on Laplace-Fourier transforms. Expressions for displacement, stresses, temperature and mass concentration in the physical domain are obtained using a numerical inversion technique. The problem is illustrated by computing the numerical values of the field variables for a magnesium crystal like material. Comparisons of the physical quantities are shown in figures to study the effects of fractional parameter, micropolarity, diffusion and ramp parameter. Some particular cases of interest have also been inferred from the present problem.
机译：当前的手稿专门研究了广义热粘弹性固体半空间中分数参数，微球度和扩散对由斜坡型机械冲击引起的相互作用的影响。假定该介质最初没有应变且没有压力，并且温度均匀。该问题已通过采用Lord-Shulman理论的分数概括来进行建模。使用基于Laplace-Fourier变换的解析数值技术处理xz平面中的控制方程。使用数值反演技术获得了物理域中位移，应力，温度和质量浓度的表达式。通过计算类似镁晶体材料的场变量的数值来说明该问题。图中显示了物理量的比较，以研究分数参数，微极性，扩散和斜率参数的影响。从当前问题还可以推断出一些令人感兴趣的特殊情况。

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