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Multiscale Structural Topology Optimization

Multiscale Structural Topology Optimization
  • Author : Liang Xia
  • Publsiher : Elsevier
  • Release : 27 April 2016
  • ISBN : 0081011865
  • Pages : 184 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKMultiscale Structural Topology Optimization

Summary:
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


Multiscale Structural Topology Optimization

Multiscale Structural Topology Optimization
  • Author : Liang Xia
  • Publisher : Elsevier
  • Release : 27 April 2016
GET THIS BOOKMultiscale Structural Topology Optimization

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

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Topology Optimization Design of Heterogeneous Materials and Structures

Topology Optimization Design of Heterogeneous Materials and Structures
  • Author : Daicong Da
  • Publisher : John Wiley & Sons
  • Release : 19 December 2019
GET THIS BOOKTopology Optimization Design of Heterogeneous Materials and Structures

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme

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Homogenization and Structural Topology Optimization

Homogenization and Structural Topology Optimization
  • Author : Behrooz Hassani,Ernest Hinton
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKHomogenization and Structural Topology Optimization

Structural topology optimization is a fast growing field that is finding numerous applications in automotive, aerospace and mechanical design processes. Homogenization is a mathematical theory with applications in several engineering problems that are governed by partial differential equations with rapidly oscillating coefficients Homogenization and Structural Topology Optimization brings the two concepts together and successfully bridges the previously overlooked gap between the mathematical theory and the practical implementation of the homogenization method. The book is presented in a unique self-teaching style

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Topology Optimization

Topology Optimization
  • Author : Martin Philip Bendsoe,Ole Sigmund
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKTopology Optimization

The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution

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Evolutionary Structural Optimization

Evolutionary Structural Optimization
  • Author : Y.M. Xie,Grant P. Steven
  • Publisher : Springer
  • Release : 06 December 2012
GET THIS BOOKEvolutionary Structural Optimization

Evolutionary Structural Optimization (ESO) is a design method based on the simple concept of gradually removing inefficient material from a structure as it is being designed. Through this method, the resulting structure will evolve towards its optimum shape. The latest techniques and results of ESO are presented here, illustrated by numerous clear and detailed examples. Sections cover the fundamental aspects of the method, the application to multiple load cases and multiple support environments, frequency optimization, stiffness and displacement constraints, buckling,

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Topology Optimization in Engineering Structure Design

Topology Optimization in Engineering Structure Design
  • Author : Jihong Zhu,Tong Gao
  • Publisher : Elsevier
  • Release : 08 November 2016
GET THIS BOOKTopology Optimization in Engineering Structure Design

Topology Optimization in Engineering Structure Design explores the recent advances and applications of topology optimization in engineering structures design, with a particular focus on aircraft and aerospace structural systems. To meet the increasingly complex engineering challenges provided by rapid developments in these industries, structural optimization techniques have developed in conjunction with them over the past two decades. The latest methods and theories to improve mechanical performances and save structural weight under static, dynamic and thermal loads are summarized and explained

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Topology Optimization Design of Heterogeneous Materials and Structures

Topology Optimization Design of Heterogeneous Materials and Structures
  • Author : Daicong Da
  • Publisher : John Wiley & Sons
  • Release : 09 January 2020
GET THIS BOOKTopology Optimization Design of Heterogeneous Materials and Structures

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme

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Multiphysics Simulation

Multiphysics Simulation
  • Author : Ercan M. Dede,Jaewook Lee,Tsuyoshi Nomura
  • Publisher : Springer
  • Release : 28 May 2014
GET THIS BOOKMultiphysics Simulation

This book highlights a unique combination of numerical tools and strategies for handling the challenges of multiphysics simulation, with a specific focus on electromechanical systems as the target application. Features: introduces the concept of design via simulation, along with the role of multiphysics simulation in today’s engineering environment; discusses the importance of structural optimization techniques in the design and development of electromechanical systems; provides an overview of the physics commonly involved with electromechanical systems for applications such as electronics,

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Evolutionary Topology Optimization of Continuum Structures

Evolutionary Topology Optimization of Continuum Structures
  • Author : Xiaodong Huang,Mike Xie
  • Publisher : John Wiley & Sons
  • Release : 11 March 2010
GET THIS BOOKEvolutionary Topology Optimization of Continuum Structures

Evolutionary Topology Optimization of Continuum Structures treads new ground with a comprehensive study on the techniques and applications of evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Since the ESO method was first introduced by Xie and Steven in 1992 and the publication of their well-known book Evolutionary Structural Optimization in 1997, there have been significant improvements in the techniques as well as important practical applications. The authors present these developments, illustrated by numerous interesting and detailed examples.

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Multiscale Optimization And Materials Design

Multiscale Optimization And Materials Design
  • Author : Jun Yan,Gengdong Cheng
  • Publisher : World Scientific
  • Release : 29 December 2020
GET THIS BOOKMultiscale Optimization And Materials Design

The book presents a set of novel, efficient and systematic concurrent multiscale optimization methods by considering the distribution of the material in macro-scale and the unit-cell configuration design in micro-scale simultaneously. Different from the traditional optimization method that is performed in a single scale, the proposed methods could generate a great deal of improvements in structural performance through the multiscale structure-material concurrent optimum design.The proposed theory and methods are related to statics, dynamics, thermoelastics and the coupling of different

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IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials
  • Author : Martin Philip Bendsoe,Niels Olhoff,Ole Sigmund
  • Publisher : Springer
  • Release : 27 October 2021
GET THIS BOOKIUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

This volume offers edited papers presented at the IUTAM-Symposium Topological design optimization of structures, machines and materials - status and perspectives, October 2005. The papers cover the application of topological design optimization to fluid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems. Also in focus are new basic modelling paradigms, covering new geometry modelling such as level-set methods and topological derivatives.

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Shape Optimization by the Homogenization Method

Shape Optimization by the Homogenization Method
  • Author : Gregoire Allaire
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKShape Optimization by the Homogenization Method

This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.

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Advances in Structural and Multidisciplinary Optimization

Advances in Structural and Multidisciplinary Optimization
  • Author : Axel Schumacher,Thomas Vietor,Sierk Fiebig,Kai-Uwe Bletzinger,Kurt Maute
  • Publisher : Springer
  • Release : 11 September 2018
GET THIS BOOKAdvances in Structural and Multidisciplinary Optimization

The volume includes papers from the WSCMO conference in Braunschweig 2017 presenting research of all aspects of the optimal design of structures as well as multidisciplinary design optimization where the involved disciplines deal with the analysis of solids, fluids or other field problems. Also presented are practical applications of optimization methods and the corresponding software development in all branches of technology.

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