Multiscale 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 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

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  • Author : Liang Xia
  • Publisher : Elsevier
  • Pages : 184 pages
  • ISBN : 0081011865
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMultiscale Structural Topology Optimization

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

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

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,

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

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

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

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 Science & Business Media
  • Release : 03 October 2006
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.

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 : 04 December 2017
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.

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,

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.

Asymptotic Analysis for Periodic Structures

Asymptotic Analysis for Periodic Structures
  • Author : Alain Bensoussan,Jacques-Louis Lions,George Papanicolaou
  • Publisher : American Mathematical Soc.
  • Release : 26 October 2011
GET THIS BOOKAsymptotic Analysis for Periodic Structures

This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool,

Multiscale Methods in Science and Engineering

Multiscale Methods in Science and Engineering
  • Author : Björn Engquist,Per Lötstedt,Olof Runborg
  • Publisher : Springer Science & Business Media
  • Release : 30 March 2006
GET THIS BOOKMultiscale Methods in Science and Engineering

Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales