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Multiscale Structural Topology Optimization
1st Edition - April 4, 2016
Author: Liang Xia
Language: English
Hardback ISBN:9781785481000
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eBook ISBN:9780081011867
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Multiscale Structural Topology Optimization discusses the development of a multiscale design framework for topology optimization of multiscale nonlinear structures. With the inten…Read more
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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
Advanced students, researchers and professional engineers in mathematics for engineering, optimization and computational intelligence and computational methods in civil and structural engineering.
Introduction
I.1 Background and motivations
I.2 Literature review on related subjects
I.3 Outline of the book
1: Topology Optimization Framework for Multiscale Nonlinear Structures
Abstract:
1.1 FE2 method
1.2 Periodic boundary conditions
1.3 Finite element discretization
1.4 Topology optimization model
1.5 Multiscale design framework
1.6 Numerical examples
1.7 Concluding remarks
2: POD-based Adaptive Surrogate for the Design of Multiscale Structures
Abstract:
2.1 Multiscale design framework
2.2 POD-based adaptive surrogate
2.3 Numerical examples
2.4 Concluding remarks
3: Topology Optimization of Multiscale Elastoviscoplastic Structures
Abstract:
3.1 Topology optimization model
3.2 Microscopic modeling
3.3 Numerical examples
3.4 Concluding remarks
4: Simultaneous Topology Optimization of Structure and Materials
Abstract:
4.1 Problem statement and decomposition
4.2 Initial stiffness NR solution scheme
4.3 Topology optimization models
4.4 Numerical examples
4.5 Concluding remarks
5: Reduced Database Model for Material Microstructure Optimizations
Abstract:
5.1 Simultaneous design framework
5.2 Generalized material constitutive behavior
5.3 Reduced database model (NEXP)
5.4 Structural topology optimization
5.5 General design algorithm
5.6 Numerical examples
5.7 Concluding remarks
Conclusion and Perspectives
Appendix: Design of Extreme Materials in Matlab
A.1 Introduction
A.2 Homogenization
A.3 Periodic boundary conditions
A.4 Optimization model
A.5 Matlab implementation
A.6 Illustrative examples
A.7 Concluding remarks
A.8 Matlab Code “topX.m”
Bibliography
Index
No. of pages: 184
Language: English
Edition: 1
Published: April 4, 2016
Imprint: ISTE Press - Elsevier
Hardback ISBN: 9781785481000
eBook ISBN: 9780081011867
LX
Liang Xia
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.
Affiliations and expertise
Postdoctoral Researcher, Laboratory of Multiscale Modelling and Simulation, University of Paris-Est, France
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