论文标题
在碳纳米管中模拟纳米管增强复合材料的无限条带中的局部田地
Simulating local fields in carbon nanotube reinforced composites for infinite strip with voids
论文作者
论文摘要
我们考虑在各向同性和均质无限条复合材料中，通过均匀和随机分布的非重叠碳纳米管（CNT）和包含空隙的稳定的热传导问题。我们将CNT视为薄的完美传导椭圆夹杂物，并假设空隙是圆形的，并且是热流的障碍。我们还通过假设下部无限壁是在给定温度下的加热器，在外部边界上施加了等温条件，并且上壁是可以保持在较低固定温度下的冷却器。温度分布的方程式由二维拉普拉斯方程和混合dirichlet-Neumann边界条件。最终的边界值问题使用具有广义的Neumann内核的边界积分方程来解决。我们通过几个数值示例说明了所提出的方法的性能，包括存在大量CNT和空隙的情况。
We consider the steady heat conduction problem within a thermal isotropic and homogeneous infinite strip composite reinforced by uniformly and randomly distributed non-overlapping carbon nanotubes (CNTs) and containing voids. We treat the CNTs as thin perfectly conducting elliptic inclusions and assume the voids to be of circular shape and act as barriers to heat flow. We also impose isothermal conditions on the external boundaries by assuming the lower infinite wall to be a heater under a given temperature, and the upper wall to be a cooler that can be held at a lower fixed temperature. The equations for the temperature distribution are governed by the two-dimensional Laplace equation with mixed Dirichlet-Neumann boundary conditions. The resulting boundary value problem is solved using the boundary integral equation with the generalized Neumann kernel. We illustrate the performance of the proposed method through several numerical examples including the case of the presence a large number of CNTs and voids.
