Multiscale Structural Topology Optimization

ISBN-13: 9781785481000 / Angielski / Twarda / 2016 / 184 str.

Xia Liang

Opis

Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the intention to alleviate the heavy computational burden of the design framework, the authors present a POD-based adaptive surrogate model for the RVE solutions at the microscopic scale and make a step further towards the design of multiscale elastoviscoplastic structures. Various optimization methods for structural size, shape, and topology designs have been developed and widely employed in engineering applications. Topology optimization has been recognized as one of the most effective tools for least weight and performance design, especially in aeronautics and aerospace engineering. This book focuses on the simultaneous design of both macroscopic structure and microscopic materials. In this model, the material microstructures are optimized in response to the macroscopic solution, which results in the nonlinearity of the equilibrium problem of the interface of the two scales. The authors include a reduce database model from a set of numerical experiments in the space of effective strain.

• Presents the first attempts towards topology optimization design of nonlinear highly heterogeneous structures
• Helps with simultaneous design of the topologies of both macroscopic structure and microscopic materials
• Helps with development of computer codes for the designs of nonlinear structures and of materials with extreme constitutive properties
• Focuses on the simultaneous design of both macroscopic structure and microscopic materials
• Includes a reduce database model from a set of numerical experiments in the space of effective strain

Spis treści

Introduction Chapter 1. Topology Optimization Framework for Multiscale Nonlinear StructuresChapter 2. POD-based Adaptive Surrogate for the Design of Multiscale StructuresChapter 3. Topology Optimization of Multiscale Elastoviscoplastic StructuresChapter 4. Simultaneous Topology Optimization of Structure and Materials Chapter 5. Reduced Database Model for Material Microsctructure Optimizations Conclusion and Perspectives

O autorze

Liang Xia is a postdoctoral researcher in computational mechanics at the Laboratory of Multiscale Modelling and Simulation, University of Paris-Est, France. His research interests cover structural topology optimization, multiscale modeling and model order reduction. He is the author and co-author of 17 peer reviewed journal papers.