Multiscale Structural Topology Optimization

Author : Liang Xia
Publisher : Elsevier
Page : 184 pages
File Size : 50,9 Mb
Release : 2016-04-27
Category : Technology & Engineering
ISBN : 9780081011867

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Multiscale Structural Topology Optimization by Liang Xia Pdf

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

Author : Daicong Da
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 42,7 Mb
Release : 2020-02-26
Category : Mathematics
ISBN : 9781786305589

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Topology Optimization Design of Heterogeneous Materials and Structures by Daicong Da Pdf

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 to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.

Author : Jun Yan,Gengdong Cheng
Publisher : World Scientific
Page : 264 pages
File Size : 47,9 Mb
Release : 2020-12-29
Category : Technology & Engineering
ISBN : 9789811216558

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Multiscale Optimization And Materials Design by Jun Yan,Gengdong Cheng Pdf

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 physical fields. Therefore, it provides a comprehensive designing scheme when multiple factors are taken into account. For example, the designing scheme can have a great significance on enhancing the structural performances under coupled multi-physical fields, such as load bearing capacity, vibration resistance ability, and safety under thermal stress and so on.Several numerical examples are highlighted in this unique volume based on practical engineering applications. The examples collectively demonstrate drastically improved designs featuring excellent unit-cell configuration and highly regular macroscale material distribution in a variety of industrial applications.

Author : Y.M. Xie,Grant P. Steven
Publisher : Springer
Page : 200 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447109853

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Evolutionary Structural Optimization by Y.M. Xie,Grant P. Steven Pdf

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, jointed frame structures, shape optimization, and stress reduction. This is followed by a section describing Evolve97, a software package which will allow readers to try the ideas of ESO themselves and to solve their optimization problems. This software is provided on a computer diskette which accompanies the book.

Author : George I. N. Rozvany,Tomasz Lewinski
Publisher : Springer Science & Business Media
Page : 471 pages
File Size : 43,6 Mb
Release : 2013-09-20
Category : Science
ISBN : 9783709116432

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Topology Optimization in Structural and Continuum Mechanics by George I. N. Rozvany,Tomasz Lewinski Pdf

The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.

Author : Jihong Zhu,Tong Gao
Publisher : Elsevier
Page : 294 pages
File Size : 48,7 Mb
Release : 2016-11-08
Category : Technology & Engineering
ISBN : 9780081021194

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Topology Optimization in Engineering Structure Design by Jihong Zhu,Tong Gao Pdf

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 in detail here, in addition to potential applications of topology optimization techniques such as shape preserving design, smart structure design and additive manufacturing. These new design strategies are illustrated by a host of worked examples, which are inspired by real engineering situations, some of which have been applied to practical structure design with significant effects. Written from a forward-looking applied engineering perspective, the authors not only summarize the latest developments in this field of structure design but also provide both theoretical knowledge and a practical guideline. This book should appeal to graduate students, researchers and engineers, in detailing how to use topology optimization methods to improve product design. Combines practical applications and topology optimization methodologies Provides problems inspired by real engineering difficulties Designed to help researchers in universities acquire more engineering requirements

Author : Martin Philip Bendsoe,Ole Sigmund
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 48,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662050866

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Topology Optimization by Martin Philip Bendsoe,Ole Sigmund Pdf

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 method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also materials and MEMS.

Author : Derek G Spear,Anthony N Palazotto
Publisher : CRC Press
Page : 207 pages
File Size : 54,9 Mb
Release : 2022-12-30
Category : Technology & Engineering
ISBN : 9781000813111

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Testing and Modeling of Cellular Materials by Derek G Spear,Anthony N Palazotto Pdf

Testing and Modeling of Cellular Materials discusses the characterization of cellular lattices through quasi-static and dynamic testing for use in light-weighting or energy-absorbing applications. Covering cellular materials, specifically additively manufactured lattices, this book further progresses into dynamic testing and modeling techniques for computational simulations. It presents modeling and simulation techniques used for cellular materials and evaluates them against experimental results to illustrate the material response under various conditions. The book also includes a case study of high-velocity impact that highlights the high strain rate effects on the cellular lattices. Features: Covers different testing techniques used in quasi-static and dynamic material characterization of cellular materials Discusses additive manufacturing techniques for lattice specimen fabrication Analyzes different finite element modeling techniques for quasi-static and dynamic loading conditions Presents a comparison and development of a phenomenological material model for use in computational analysis at various loading rates Explores impact stress wave analysis under high-velocity loading The book will be useful for researchers and engineers working in the field of materials modeling and mechanics of materials.

Author : Musaddiq Al Ali
Publisher : Springer Nature
Page : 143 pages
File Size : 55,7 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789819710409

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Fundamentals of Orthopedic Design with Non-parametric Optimization by Musaddiq Al Ali Pdf

Author : Jie Gao,Liang Gao,Mi Xiao
Publisher : Springer Nature
Page : 230 pages
File Size : 52,8 Mb
Release : 2022-04-26
Category : Technology & Engineering
ISBN : 9789811917707

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Isogeometric Topology Optimization by Jie Gao,Liang Gao,Mi Xiao Pdf

This book provides a systematic description about the development of Isogeometric Topology Optimization (ITO) method using the density, and then addresses the effectiveness and efficiency of the ITO method on several design problems, including multi-material structures, stress-minimization structures, piezoelectric structures and also with the uniform manufacturability, ultra-lightweight architected materials with extreme bulk/shear moduli, auxetic metamaterials and auxetic meta-composites with the NPRs behavior in microstructures. A detailed MATLAB implementation of the ITO method with an in-house code “IgaTop” is also presented.

Author : Martin P. Bendsoe
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 46,5 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662031155

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Optimization of Structural Topology, Shape, and Material by Martin P. Bendsoe Pdf

In the past, the possibilities of structural optimization were restricted to an optimal choice of profiles and shape. Further improvement can be obtained by selecting appropriate advanced materials and by optimizing the topology, i.e. finding the best position and arrangement of structural elements within a construction. The optimization of structural topology permits the use of optimization algorithms at a very early stage of the design process. The method presented in this book has been developed by Martin Bendsoe in cooperation with other researchers and can be considered as one of the most effective approaches to the optimization of layout and material design.

Author : Xiaodong Huang,Mike Xie
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 48,6 Mb
Release : 2010-03-11
Category : Technology & Engineering
ISBN : 0470689471

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Evolutionary Topology Optimization of Continuum Structures by Xiaodong Huang,Mike Xie Pdf

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. They clearly demonstrate that the evolutionary structural optimization method is an effective approach capable of solving a wide range of topology optimization problems, including structures with geometrical and material nonlinearities, energy absorbing devices, periodical structures, bridges and buildings. Presents latest developments and applications in this increasingly popular & maturing optimization approach for engineers and architects; Authored by leading researchers in the field who have been working in the area of ESO and BESO developments since their conception; Includes a number of test problems for students as well as a chapter of case studies that includes several recent practical projects in which the authors have been involved; Accompanied by a website housing ESO/BESO computer programs at http://www.wiley.com/go/huang and test examples, as well as a chapter within the book giving a description and step-by-step instruction on how to use the software package BESO2D. Evolutionary Topology Optimization of Continuum Structures will appeal to researchers and graduate students working in structural design and optimization, and will also be of interest to civil and structural engineers, architects and mechanical engineers involved in creating innovative and efficient structures.

Author : Gregoire Allaire
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781468492866

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Shape Optimization by the Homogenization Method by Gregoire Allaire Pdf

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.

Author : G.I.N. Rozvany
Publisher : Springer
Page : 325 pages
File Size : 45,6 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709125663

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Topology Optimization in Structural Mechanics by G.I.N. Rozvany Pdf

Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization.

Author : Björn Engquist,Per Lötstedt,Olof Runborg
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 43,9 Mb
Release : 2006-03-30
Category : Technology & Engineering
ISBN : 9783540264446

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Multiscale Methods in Science and Engineering by Björn Engquist,Per Lötstedt,Olof Runborg Pdf

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 with applications in chemistry, physics and engineering.