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

提案：DMS-0305443PI: Pedro Ponte castaned院校：University of pennsylvania标题：团体旅游：北约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该资助为参加2003年6月23日至26日在波兰Kazimierz Dolny举行的北约“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”高级研究研讨会的几名美国青年提供补充支持。北约ARW计划提供的额外资金将用于支付主要发言人以及来自北约伙伴国家（主要是东欧国家）的初级与会者的旅费。研讨会的目的是评估非线性均质化的关键需求，以及在模拟材料系统中表现出复杂微观结构的新应用。复合材料、多晶和智能材料的行为往往是非线性的。在过去的二十年中，无论是在非线性均质方法（确定性和随机）方面，还是在上述材料类别的新应用方面，都取得了重要和重大的发展。同样，相变也可以用类似的方法来研究。均质化方法为构建生物力学宏观模型提供了很有前景的新工具。因此，迫切需要聚集非线性均质化、复合材料和微观力学方面的专家，以促进这些领域的进步，同时考虑到潜在的技术应用。研讨会的主要议题有：1)凸、非凸均质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：织构的影响及其演变；3)多尺度建模和离散-连续通道；4)形状优化的最新进展和新方向；5)实现最大强度和刚度的功能分级结构；6)双稳惯性元件的结构：波、平均、控制；7)骨和软组织建模的均质化方法。非线性均质化研究的需求源于复合材料、多晶材料和智能材料在高科技产业中日益重要的作用。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。越来越清楚的是，活体组织表现出非常复杂的分层微观结构。拟议的讲习班的更广泛影响如下。会议具有很强的多学科和跨学科性质，涉及数学家、工程师和材料科学家，他们具有不同的专业领域。此外，预期讲习班将为西欧和中欧/东欧国家之间、研究中心和大学之间以及来自不同科学领域的研究人员之间的信息转让提供机会。该讲习班的会议记录将通过北约组织的《科学丛刊》出版物散发。讲习班将设法查明上述已查明领域的未决问题和未来趋势。最后，会议将包括几名研究生，年轻的研究人员和来自代表性不足群体的教师。

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.