NATO Advanced Research Workshop on Nonlinear Homogenization and Applications to Composites, Polycrystals and Smart Materials; June 23-26, 2003; Kazimierz Dolny, Poland

提议：DMS-0305443PI：Pedro Ponte Castaneda机构：宾夕法尼亚大学标题：团体旅行：北约关于非线性均质化及其在复合材料、多晶体和智能材料中的应用高级研究研讨会摘要这笔赠款为几名美国青年参与者提供补充支持，让他们参加2003年6月23日至26日在波兰卡齐米尔兹多尔尼举行的北约关于“非线性均化及其在复合材料、多晶体和智能材料中的应用”的高级研究研讨会。来自北约ARW计划的额外资金将用于主要演讲者以及来自北约伙伴国(主要是东欧国家)的初级参与者的旅费。研讨会的目的是评估非线性均质化的关键需求，以及在模拟具有复杂微结构的材料系统方面的新应用。复合材料、多晶体和智能材料的行为往往是非线性的。在过去二十年中，无论是在非线性均化方法(确定性和随机性)方面，还是在上述材料的新应用方面，都有了重要和重大的发展。此外，相变也可以用类似的方法来研究。均匀化方法为构建生物力学宏观模型提供了很有前途的新工具。因此，非常需要聚集非线性均化、复合材料和微观力学方面的专家，以促进这些领域中的每一个领域的进步，同时铭记潜在的技术应用。研讨会的主要主题是：1)凸性和非凸性的均匀化方法及其在先进复合材料、智能材料和板壳等结构中的应用；2)弹性、塑性和形状记忆合金中多晶聚集体的均匀化估计：织构及其演化的影响；3)多尺度建模和离散到连续的通道；4)形状优化的最新发展和新方向；5)最大强度和刚度的功能梯度结构；6)双稳态惯性元件的结构：波、平均、控制；以及7)骨和软组织建模的均匀化方法。研究非线性均匀化领域的需要源于复合材料、多晶体和智能材料在高科技行业中的作用日益增强。功能梯度材料、压电复合材料、磁性材料和铁电体等材料也属于这一类。活组织表现出非常复杂的层次化微结构也变得越来越清楚。拟议的研讨会产生的广泛影响如下。这次会议具有很强的多学科交叉的特点，有数学家、工程师和材料科学家参加，他们都有不同的子专业领域。此外，预计讲习班将为西欧和中东欧国家之间、研究中心和大学之间以及不同科学领域的研究人员之间的信息交流提供机会。该讲习班的会议记录将通过北约科学丛书出版物进行传播，将力求查明上述领域的未决问题和未来趋势。最后，会议将包括几名研究生、年轻研究人员和来自代表性不足群体的教职员工。

Proposal: DMS-0305443PI: Pedro Ponte CastanedaInstitution: University of PennsylvaniaTitle: Group Travel: NATO Advanced Research Workshop on Nonlinear Homogenization and Applications to Composites, Polycrystals and Smart MaterialsABSTRACTThis grant provides complementary support for several US young participants to attend a NATO Advanced Research Workshop on "Nonlinear Homogenization and Applications to Composites, Polycrystals and Smart Materials" to be held in Kazimierz Dolny, Poland, from 23 to 26 June, 2003. Additional funding from the NATO ARW program will cover the travel expenses of the Key Speakers, as well as those of junior participants from NATO Partner countries (mostly Eastern European countries). The aim of the workshop is the evaluation of critical needs in nonlinear homogenization and novel applications in modeling materials systems exhibiting complex microstructures. The behavior of composites, polycrystals and smart materials is often nonlinear. There have been important and significant developments over the last two decades both in terms of nonlinear homogenization methodology (deterministic and stochastic), as well as in terms of novel applications to the above-mentioned classes of materials. Also, phase transformations can be studied by using similar methods. Homogenization methods offer promising new tools for constructing macroscopic models in biomechanics. It is thus highly desirable to gather specialists in nonlinear homogenization, composite materials and micromechanics to promote progress in each of these fields keeping in mind the potential technological applications. The main topics of workshop are: 1) Convex and non-convex homogenization methods and applications to advanced composites, smart materials and structures like plates and shells; 2) Homogenization estimates for polycrystalline aggregates in elasticity, plasticity and shape memory alloys: the effect of texture and its evolution; 3) Multi-scale modeling and discrete-to-continuum passage; 4) Recent developments and new directions in shape optimization; 5) Functionally graded structures for maximum strength and stiffness; 6) Structures of bi-stable inertial elements: waves, averaging, control; and 7) Homogenization methods in modeling bone and soft tissues. The need for research in the field of nonlinear homogenization stems from the ever-increasing role of composites, polycrystals and smart materials in high-tech industries. Materials such as functionally graded materials, piezoelectric composites, magnetic materials and ferroelectrics also belong to this class. It has also become increasingly clear that living tissues exhibit very complex hierarchical microstructures. Among the broader impacts of the proposed workshop are the following. The conference is strongly multi- and inter-disciplinary in character, involving mathematicians, engineers and material scientists with various sub-fields of specialization. In addition, it is expected that the workshop will provide opportunities for the transfer of information between Western and Central/East European countries, between research centers and universities, and among researchers from different scientific areas. The workshop, whose proceedings will be disseminated through a NATO Science Series publication, will seek to identify open problems and future trends in the above-identified areas. Finally, the meeting will include several graduate students, young investigators and faculty from underrepresented groups.