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.

建议：DMS-0305443PI：PEDRO PONTE CASTANEDAINSTITITION 2003年6月23日至26日在波兰的Kazimierz Dolny举行的“非线性均质化和对复合材料，多晶和智能材料的应用”。来自北约合作伙伴国家（主要是东欧国家）的初级参与者。研讨会的目的是评估非线性均质化的关键需求以及在表现出复杂微观结构的材料系统中的新应用。复合材料，多晶和智能材料的行为通常是非线性的。在过去的二十年中，在非线性均质化方法（确定性和随机性）以及对上述材料类别的新应用方面都有重要而重要的发展。 同样，可以使用类似方法研究相变。 均化方法为在生物力学中构建宏观模型提供了有希望的新工具。 因此，非常需要在非线性均质化，复合材料和微力学方面收集专家，以促进每个领域的进步，牢记潜在的技术应用。 研讨会的主要主题是：1）对高级复合材料，智能材料和板（如板和炮弹）的凸和非凸均均匀化方法以及应用； 2）在弹性，可塑性和形状的记忆合金中，多晶骨料的均质化估计值：纹理及其进化的影响； 3）多尺度建模和离散到核电通道； 4）在形状优化方面的最新发展和新方向； 5）功能分级结构，以最大的强度和刚度； 6）双稳定惯性元件的结构：波，平均，控制； 7）建模骨和软组织中的均质化方法。非线性均质化领域的研究需求源于复合材料，多晶和智能材料在高科技行业中的不断增长。 诸如功能分级材料，压电复合材料，磁性材料和铁电的材料也属于此类。 还越来越清楚地表明，活组织表现出非常复杂的分层微观结构。 拟议研讨会的更广泛影响包括以下内容。 该会议的性质是多种学科的，涉及数学家，工程师和物质科学家，并具有各种专业的子场。 此外，预计该研讨会将为西方和中东/东欧国家，研究中心与大学之间以及来自不同科学领域的研究人员之间的信息传输提供机会。 该研讨会将通过北约科学系列出版物进行宣传，其诉讼将寻求确定上述地区的开放问题和未来趋势。 最后，会议将包括来自代表性不足的团体的几名研究生，年轻的调查人员和教职员工。