Analysis and Characterization of Multi-Phase Systems with Application to Optimal Design

多相系统的分析和优化设计是开发用于电子、运输系统和航空航天应用的先进材料的核心。从人体生理学的角度来理解复杂生物系统中的转运现象是至关重要的。该项目解决了对多相系统输运特性的改进知识将对技术产生重大影响的领域。该项目的一个重要部分集中在具有不完美粘合组件的复合材料的行为上。组成部分之间不完美的结合通常是常态。不完美的粘结通常是由于在使用过程中对结构的损坏造成的。第一个项目处理纤维增强材料在纤维和基体材料之间存在不完全粘合的情况下的设计。目标是为非完美粘结纤维增强结构的最佳性能提供严格的设计规则。接下来，我们考虑振荡电信号通过具有不完美键合成分的结构材料的传输。我们寻找新的数学方法，从传输的信号中传递结构信息。这些方法将依赖于分离组分的不完美键的物理特性。第三个项目研究生物系统中离子的传输。目的是了解细胞几何形状对活组织内离子传输的影响。最后，非常大规模集成电路布局所必需的小几何形状导致沿导电路径的电场高度集中。这些浓度通常会导致电子装置如微处理器的故障。导电路径通常由三种或三种以上材料的铝合金制成。我们寻求多相导体之间的最佳几何形状，以使电场浓度最小化。多相材料的分析和优化设计是开发用于电子、运输系统和航空航天结构的先进材料的核心。从人体生理学的角度理解复杂生物结构中的转运现象是至关重要的。该项目致力于提高多相结构输运特性知识的领域，这些知识将对技术和医学产生影响。纤维增强结构出现在许多应用中，从高尔夫球杆到风车的转子。随着时间的推移，纤维和周围材料之间的附着力因使用而受到损害。我们研究了这种结构的最佳设计，考虑到纤维和周围材料之间的不完美粘合。我们的目标是设计出比传统纤维增强产品更耐用的产品。接下来，我们研究了如何减少由于高浓度电流而导致的微电子器件的故障。集成电路布局中使用的小几何形状需要非常窄的金属条来导电。由于它们所携带的大电流，这些导线经常失效。导电带通常由铝、铜和硅的混合物制成。我们寻求铜和硅在金属带中的最佳部署，以防止失效。最后，我们尝试改进细胞间离子传输的表征。从人体生理学的角度来看，了解人类脑细胞的这种运输可能有助于早期检测中风造成的损伤程度。

9700638 Lipton The analysis and optimal design of multi-phase systems is central to the development of advanced materials for use in electronics, transportation systems, and aerospace applications. From the perspective of human physiology it is critical to understand transport phenomena in complex biological systems. This project addresses areas where improved knowledge of transport properties for multi-phase systems will have a large impact on technology. A significant part of this project focuses on the behavior of composites with imperfectly bonded components. Imperfect bonding between constituents is often the rule. Imperfect bonds are frequently the result of damage to the structure incurred during use. The first project treats the design of fiber reinforced materials in the presence of imperfect bonding between the fiber and the matrix material. The goal is to provide rigorous design rules for the optimal performance of imperfectly bonded fiber reinforced structures. We consider next the transmission of oscillating electric signals through structural materials possessing imperfectly bonded constituents. We look for new mathematical methods that will deliver structural information from the transmitted signal. These methods will rely on the physics of the imperfect bond separating the constituents. The third project treats the transport of ions in a biological system. The goal is to understand the effect of cell geometry on the ionic transport within living tissue. Last, the small geometries necessary for the layout of very large scale integrated circuits incur high concentrations of the electric field along conducting paths. These concentrations often result in the failure of an electronic devise such as a microprocessor. The conducting paths are often made from aluminum alloys of three or more materials. We seek the best geometries among multi- phase conductors so as to minimize electric field concentrations. The analysis and o ptimal design of multi-phase materials is central to the development of advanced materials for use in electronics, transportation systems, and aerospace structures. From the perspective of human physiology it is critical to understand transport phenomena in complex biological structures. This project addresses areas where improved knowledge of transport properties for multi-phase structures will have impact on technology and medicine. Fiber reinforced structures appear in many applications ranging from golf clubs to the rotors on windmills. Over time the adhesion between the fibers and the surrounding material is compromised by use. We investigate the optimal design of such structures taking into account the imperfect adhesion between fiber and surrounding material. Our goal is to design more durable products that last longer than conventional fiber reinforced products. Next, we investigate how to reduce the failure of microelectronic devices due to high concentrations of electric current. The small geometries used in the layout of integrated circuits require very narrow strips of metal to conduct electric currents. These strips often fail because of the high volume of current that they carry. The conducting strips are often made from a mixture of Aluminum, Copper , and Silicon. We seek the best deployment of the Copper and Silicon in the metal strip to prevent failure. Last, we attempt an improved characterization of inter cellular ionic transport. From the stand point of human physiology, an understanding of such transport for human brain cells may offer early detection of the extent of damage caused by stroke.