Multiscale Structural Topology Optimization 1st Edition by Liang Xia 1785481000 9781785481000

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ISBN-10 :  1785481000 

ISBN-13 : 9781785481000

Author : Liang Xia 

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.

 

Multiscale Structural Topology Optimization 1st Table of contents:

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”

 

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Tags: Multiscale Structural, Topology, Optimization, Liang Xia