The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods OCo both analytical and computational OCo for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior.
All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods."
The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods OCo both analytical and computational OCo for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior.
All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods."
Imprint | Kluwer Academic Publishers |
Country of origin | United States |
Release date | November 2004 |
Availability | We don't currently have any sources for this product. If you add this item to your wish list we will let you know when it becomes available. |
Authors | P. Ponte Casta eda, Barbara Gambin |
Format | Electronic book text |
ISBN-13 | 978-1-4020-2623-2 |
Barcode | 9781402026232 |
Categories | |
LSN | 1-4020-2623-4 |