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

北约非线性均质化及其在复合材料、多晶和智能材料中的应用高级研究研讨会；

• 批准号: 0305443
• 负责人: Pedro Ponte Castaneda
• 金额: --
• 依托单位: University of Pennsylvania
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-04-01 至 2004-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0305443&HistoricalAwards=false
• 关键词: NATO; Advanced; Research; Workshop; Nonlinear

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.

提案：DMS-0305443 PI：Pedro Ponte Castaneda机构：宾夕法尼亚大学职称：团体旅行：北约非线性均匀化及其在复合材料、多晶体和智能材料中的应用高级研究研讨会摘要该基金为几名美国年轻参与者提供补充支持，以参加北约高级研究研讨会“非线性均匀化及其在复合材料中的应用，拟于2003年6月23日至26日在波兰的Kazimierz Dolny举行。 来自北约ARW计划的额外资金将支付主要演讲者的差旅费，以及来自北约伙伴国家（主要是东欧国家）的初级参与者的差旅费。该研讨会的目的是评估非线性均匀化的关键需求以及在模拟具有复杂微观结构的材料系统中的新应用。复合材料、多晶材料和智能材料的行为往往是非线性的。在过去的二十年里，无论是在非线性均匀化方法（确定性和随机性）方面，以及在上述类别的材料的新应用方面，都有重要和显着的发展。 此外，相变可以通过使用类似的方法进行研究。 均匀化方法为构建生物力学宏观模型提供了有前途的新工具。 因此，非常希望聚集非线性均匀化，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。 研讨会的主要议题是：1）凸和非凸均匀化方法及其在先进复合材料、智能材料和结构（如板壳）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）用于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）建模骨骼和软组织的均匀化方法。非线性均匀化领域的研究需求源于复合材料、多晶体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。 人们也越来越清楚地认识到，活组织表现出非常复杂的层次结构。 拟议讲习班的广泛影响如下。 该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与专业化的各个子领域。 此外，预计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不同科学领域的研究人员之间的信息交流提供机会。 讲习班的会议记录将通过北约科学丛书出版物散发，讲习班将设法查明上述领域的未决问题和未来趋势。 最后，会议将包括一些研究生，年轻的研究人员和教师从代表性不足的群体。