Topology Optimization Design Of Heterogeneous Materials And Structures

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Topology Optimization Design of Heterogeneous Materials and Structures

Daicong Da
Topology Optimization Design of Heterogeneous Materials and Structures Book PDF

Author : Daicong Da
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 47,5 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.

Multiscale Structural Topology Optimization

Liang Xia
Multiscale Structural Topology Optimization Book PDF

Author : Liang Xia
Publisher : Elsevier
Page : 184 pages
File Size : 51,8 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

Topology Optimization in Engineering Structure Design

Jihong Zhu,Tong Gao
Topology Optimization in Engineering Structure Design Book PDF

Author : Jihong Zhu,Tong Gao
Publisher : Elsevier
Page : 294 pages
File Size : 54,5 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

Optimization of Structural Topology, Shape, and Material

Martin P. Bendsoe
Optimization of Structural Topology Shape and Material Book PDF

Author : Martin P. Bendsoe
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 50,5 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.

Topology Design of Structures

Martin P. Bendsøe,Carlos A. Mota Soares
Topology Design of Structures Book PDF

Author : Martin P. Bendsøe,Carlos A. Mota Soares
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401118040

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Topology Design of Structures by Martin P. Bendsøe,Carlos A. Mota Soares Pdf

Proceedings of the NATO Advanced Research Workshop, Sesimbra, Portugal, June 20-26, 1992

Topology Design Methods for Structural Optimization

Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí
Topology Design Methods for Structural Optimization Book PDF

Author : Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí
Publisher : Butterworth-Heinemann
Page : 204 pages
File Size : 46,5 Mb
Release : 2017-06-09
Category : Mathematics
ISBN : 9780080999890

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Topology Design Methods for Structural Optimization by Osvaldo M. Querin,Mariano Victoria,Cristina Alonso Gordoa,Rubén Ansola,Pascual Martí Pdf

Topology Design Methods for Structural Optimization provides engineers with a basic set of design tools for the development of 2D and 3D structures subjected to single and multi-load cases and experiencing linear elastic conditions. Written by an expert team who has collaborated over the past decade to develop the methods presented, the book discusses essential theories with clear guidelines on how to use them. Case studies and worked industry examples are included throughout to illustrate practical applications of topology design tools to achieve innovative structural solutions. The text is intended for professionals who are interested in using the tools provided, but does not require in-depth theoretical knowledge. It is ideal for researchers who want to expand the methods presented to new applications, and includes a companion website with related tools to assist in further study. Provides design tools and methods for innovative structural design, focusing on the essential theory Includes case studies and real-life examples to illustrate practical application, challenges, and solutions Features accompanying software on a companion website to allow users to get up and running fast with the methods introduced Includes input from an expert team who has collaborated over the past decade to develop the methods presented

Topology Optimization

Martin Philip Bendsoe,Ole Sigmund
Topology Optimization Book PDF

Author : Martin Philip Bendsoe,Ole Sigmund
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 44,9 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.

Topology Optimization of Structures and Composite Continua

George I. N. Rozvany,N. Olhoff
Topology Optimization of Structures and Composite Continua Book PDF

Author : George I. N. Rozvany,N. Olhoff
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 51,7 Mb
Release : 2001-01-31
Category : Mathematics
ISBN : 0792368061

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Topology Optimization of Structures and Composite Continua by George I. N. Rozvany,N. Olhoff Pdf

Topology optimization of structures and composite materials is a new and rapidly expanding field of mechanics which now plays an ever-increasing role in most branches of technology, such as aerospace, mechanical, structural, civil and ma terials engineering, with important implications for energy production as well as building and environmental sciences. It is a truly "high-tech" field which requires advanced computer facilities and computational methods, whilst involving unusual theoretical considerations in pure mathematics. Topology optimization deals with some of the most difficult problems of mechanical sciences, but it is also of consid erable practical interest because it can achieve much greater savings than conven tional (sizing or shape) optimization. Extensive research into topology optimization is being carried out in most of the developed countries of the world. The workshop addressed the state of the art of the field, bringing together re searchers from a diversity of backgrounds (mathematicians, information scientists, aerospace, automotive, mechanical, structural and civil engineers) to span the full breadth and depth of the field and to outline future developments in research and avenues of cooperation between NATO and Partner countries. The program cov ered • theoretical (mathematical) developments, • computer algorithms, software development and computational difficulties, and • practical applications in various fields of technology. A novel feature of the workshop was that, in addition to shorter discussions after each lecture, a 30 minutes panel discussion took place in each sesssion, which made this ARW highly interactive and more informal.

Topology Optimization in Structural and Continuum Mechanics

George I. N. Rozvany,Tomasz Lewinski
Topology Optimization in Structural and Continuum Mechanics Book PDF

Author : George I. N. Rozvany,Tomasz Lewinski
Publisher : Springer Science & Business Media
Page : 471 pages
File Size : 45,5 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.

Multiscale and Multiphysics Robust Design of a Complex Microstructure with Uncertainties, and Driven by Target Performances

Chenchen Chu
Multiscale and Multiphysics Robust Design of a Complex Microstructure with Uncertainties and Driven by Target Performances Book PDF

Author : Chenchen Chu
Publisher : Unknown
Page : 141 pages
File Size : 45,8 Mb
Release : 2022
Category : Electronic
ISBN : OCLC:1333944371

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Multiscale and Multiphysics Robust Design of a Complex Microstructure with Uncertainties, and Driven by Target Performances by Chenchen Chu Pdf

Topology optimization is a systemic design that requires simulation and optimization of a system for a single or multiple physics coupling processes. However, it is short of the engineering sense regarding the absence of uncertainties and limitations on applied monophase material. The foundation of this dissertation is to combine homogenization and stochastic processing into topology optimization to formulate a robust multiscale topology optimization approach. Accordingly, this Ph.D. dissertation concerns (1) the multiscale and multiphysics performance of heterogeneous materials/structures embedded with microstructures material, taking into account the uncertainties, (2) for further optimizing the heterogeneous structure at different scales to satisfy target performance. These microstructures may arise from the processing of biological materials, or from dedicated engineered materials, e.g., aerogels, foams, composites, acoustics metamaterials, etc. We parametrize architecture material; study the performances of the microstructure at the macroscopic scale by homogenization method. Then, the homogenization model can be considered a stochastic model with presented uncertainties exhibited in the unit cell. It can be built from a polynomial chaos development. In addition, these parametrized micro geometry features can be mapped into homogenized properties space, which can be utilized as design variables to control the macrostructure performance. Afterward, we combined the topology optimization, homogenization, and uncertainties qualification to (1) design macro topology and micro material distribution to maximum structure stiffness (2) reduce the structure sensitivity to presented uncertainties (e.g., loading and material properties). This proposed general framework has the advance and compatibility ability in solving optimization problems considering the (1) multiple parametrized architectures cells, (2) complex loading problem, (3) hybrid uncertified, etc., with an affordable computation manner.

ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics

Liang-Yee Cheng
ICGG 2020 Proceedings of the 19th International Conference on Geometry and Graphics Book PDF

Author : Liang-Yee Cheng
Publisher : Springer Nature
Page : 966 pages
File Size : 44,6 Mb
Release : 2020-12-01
Category : Technology & Engineering
ISBN : 9783030634032

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ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics by Liang-Yee Cheng Pdf

This book covers various aspects of Geometry and Graphics, from recent achievements on theoretical researches to a wide range of innovative applications, as well as new teaching methodologies and experiences, and reinterpretations and findings about the masterpieces of the past. It is from the 19th International Conference on Geometry and Graphics, which was held in São Paulo, Brazil. The conference started in 1978 and is promoted by the International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching methodology in the fields of Geometry and Graphics. Organized five topics, which are Theoretical Graphics and Geometry; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education and Geometry; Graphics in History, the book is intended for the professionals, academics and researchers in architecture, engineering, industrial design, mathematics and arts involved in the multidisciplinary field.

Evolutionary Topology Optimization of Continuum Structures

Xiaodong Huang,Mike Xie
Evolutionary Topology Optimization of Continuum Structures Book PDF

Author : Xiaodong Huang,Mike Xie
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 49,7 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.

From Waves in Complex Systems to Dynamics of Generalized Continua

Kolumban Hutter,Tsung-Tsong Wu,Yi-Chung Shu
From Waves in Complex Systems to Dynamics of Generalized Continua Book PDF

Author : Kolumban Hutter,Tsung-Tsong Wu,Yi-Chung Shu
Publisher : World Scientific
Page : 435 pages
File Size : 55,9 Mb
Release : 2011
Category : Technology & Engineering
ISBN : 9789814340717

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From Waves in Complex Systems to Dynamics of Generalized Continua by Kolumban Hutter,Tsung-Tsong Wu,Yi-Chung Shu Pdf

The book reviews recent research activities in applied mechanics and applied mathematics such as the fields of solid & fluid constitutive modeling for coupled fields, applications of geophysical & environmental context in judicious numerical-computational implementations. The book aims to merge foundation aspects of continuum mechanics with modern technological applications, notably on reviewing recent advances in the treated subjects in an attractive presentation accessible to a wide readership of engineering and applied sciences.

An Introduction to Computational Micromechanics

Tarek I. Zohdi,Peter Wriggers
An Introduction to Computational Micromechanics Book PDF

Author : Tarek I. Zohdi,Peter Wriggers
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 50,9 Mb
Release : 2008-03-15
Category : Science
ISBN : 9783540323600

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An Introduction to Computational Micromechanics by Tarek I. Zohdi,Peter Wriggers Pdf

In this, its second corrected printing, Zohdi and Wriggers’ illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.

Topology Optimization in Structural Mechanics

G.I.N. Rozvany
Topology Optimization in Structural Mechanics Book PDF

Author : G.I.N. Rozvany
Publisher : Springer
Page : 325 pages
File Size : 41,7 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.