Edge Effects and Interior Solutions for Anisotropic and Composite Materials

许多有用的薄壁结构，如飞机和自动 零件，火箭外壳，直升机叶片，以及各种 安全壳，是由各向异性的， 长丝或纤维增强材料。 虽然其中许多 结构会受到严重的机械、惯性或热作用 在承受载荷的情况下，它们通常必须被设计成保持弹性。 这意味 能够准确地计算出 整体特性，如屈曲载荷和自然 频率，以及局部信息，如附近的应力 孔或边缘。 建议研究两个重要的， 这种结构的互补区域，即内部 没有陡峭的应力梯度，边缘区域 应力梯度很高的地方。 对于这两个地区，简化， 将制定具有成本效益的渐近方法。 的范围 调查将包括线性和非线性问题。 众所周知，考虑复合材料中的非线性效应 经常导致与线性化预测的显著差异， 理论 鉴于先进复合材料的快速应用， 材料在目前的技术，大变形的研究， 这些材料有望对知识产生广泛的影响， 和技术基础。

Many useful thin-walled structures such as aircraft and automatic parts, rocket casings, helicopter blades, and a variety of containment vessels, are constructed of layers of anisotropic, filament or fiber-reinforced materials. While many of these structures are subject to severe mechanical, inertial, or thermal loads, they must often be designed to remain elastic. This means that it is particularly important to be able to compute accurately global characteristics, such as buckling loads and natural frequencies, as well as local information such as stresses near holes or edges. It is proposed to study two important, complementary regions of such structures, namely, the interior where there are no steep stress gradients, and the edge zone(s) where stress gradients are high. For both regions, simplified, cost-effective asymptotic methods will be developed. The scope of the investigation will include both linear and nonlinear problems. It is known that considerations of nonlinear effects in composites often lead to striking differences from predictions of linearized theories. In view of the rapid utilization of advanced composite materials in current technology, studies on large deformations of such materials promise to have widespread impact on the knowledge and technology base.