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Multiscale Structural Topology Optimization

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Multiscale Structural Topology Optimization

Multiscale Structural Topology Optimization Book
Author : Liang Xia
Publisher : Elsevier
Release : 2016-04-27
ISBN : 0081011865
Language : En, Es, Fr & De

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Book Description :

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

Structural Multiscale Topology Optimization with Stress Constraint for Additive Manufacturing

Structural Multiscale Topology Optimization with Stress Constraint for Additive Manufacturing Book
Author : Ferdinando Auricchio,Elena Bonetti,Massimo Carraturo,Dietmar Hömberg,Alessandro Reali,Elisabetta Rocca
Publisher : Unknown
Release : 2019
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions are rigorously derived and a numerical algorithm which implements the method is presented. A sensitivity study with respect to some parameters is conducted for a two-dimensional cantilever beam problem. Finally, a possible workflow to obtain a 3D-printed object from the numerical solutions is described and the final structure is printed using a fused deposition modeling (FDM) 3D printer.

Topology Optimization Design of Heterogeneous Materials and Structures

Topology Optimization Design of Heterogeneous Materials and Structures Book
Author : Daicong Da
Publisher : John Wiley & Sons
Release : 2020-01-09
ISBN : 1786305585
Language : En, Es, Fr & De

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Book Description :

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 Topology Optimization

Multiscale Topology Optimization Book
Author : Tej Kumar
Publisher : Unknown
Release : 2021
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Topology optimization (TO) is a mature technique for engineering design and is being incorporated in almost all engineering design software. It is possible to generate high-resolution nature-like structures using topology optimization by exploiting a large number of processors. Such high-resolution designs can also be generated by using multiscale topology optimization (MTO) which involves designs at two length scales. Compared to designs by TO, designing at two length scales in MTO provides additional flexibility in modeling and scope for computational gains. This thesis focuses on various modeling and computational aspects of multiscale topology optimization. Specifically, three distinct models are proposed in this thesis to enhance MTO design capabilities at moderate computational costs enabling their application on a Personal Computer (PC). The first model relies on a novel clustering approach to reduce the number of small scale structures called microstructures. The computational cost of clustered MTO with only a few distinct microstructures is negligible compared to unclustered MTO. However, the performance of the design may be compromised for an "incautious" choice of clustering criteria. To this end, we propose a density-and-strain-based clustering criterion along with the flexibility of rotation for microstructures to reduce the cost of MTO almost without compromising the performance. The proposed criterion features a very high convergence rate, converging in 50 iterations at an average. The second model is pertinent to a graded microstructure MTO wherein a number of fitting functions define the elasticity matrix at all volume fractions of the microstructure. Conventionally, each of these functions define one component of elasticity matrix and are not coupled to one another. This may lead the elasticity matrix to lose positive definiteness, a must-have property for any elasticity matrix. To ensure the positive definiteness, a spectral-decomposition of elasticity matrix is proposed where the fitting functions for eigenvalues and eigenvector orientations define the elasticity matrix. Ensuring the positive value of eigenvalue fitting functions translates to positive definiteness of elasticity matrix. The third model is for graded microstructure as well but instead of single graded microstructure, multiple graded microstructures are modeled together. A number of models inspired by multiple material optimization techniques are compared.

Multiscale Optimization And Materials Design

Multiscale Optimization And Materials Design Book
Author : Jun Yan,Gengdong Cheng
Publisher : World Scientific
Release : 2020-12-29
ISBN : 981121655X
Language : En, Es, Fr & De

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Book Description :

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.

Advances in Structural and Multidisciplinary Optimization

Advances in Structural and Multidisciplinary Optimization Book
Author : Axel Schumacher,Thomas Vietor,Sierk Fiebig,Kai-Uwe Bletzinger,Kurt Maute
Publisher : Springer
Release : 2017-12-04
ISBN : 3319679880
Language : En, Es, Fr & De

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Book Description :

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.

Multi scale Topological Design of Structural Materials an Integrated Approach

Multi scale Topological Design of Structural Materials   an Integrated Approach Book
Author : Àlex Ferrer Ferré
Publisher : Unknown
Release : 2017
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The present dissertation aims at addressing multiscale topology optimization problems. For this purpose, the concept of topology derivative in conjunction with the computational homogenization method is considered. In this study, the topological derivative algorithm, which is clearly non standard in topology optimization, and the optimality conditions are first introduced in order to a provide a better insight. Then, a precise treatment of the interface elements is proposed to reduce the numerical instabilities and the time-consuming computations that appear when using the topological derivative algorithm. The resulting strategy is examined and compared with current methodologies collected in the literature by means of some numerical tests of different nature. Then, a closed formula of the anisotropic topological derivative is obtained by solving analytically the exterior elastic problem. To this aim, complex variable theory and symbolic computation is considered. The resulting expression is validated through some numerical tests. In addition, different anisotropic topology optimization problems are solved to show the macroscopic topological implications of considering anisotropic materials. Finally, the two-scale topology optimization problem is tackled. As a first approach, an structural stiffness increase is achieved by considering the microscopic topologies as design variables of the problem. An alternate direction algorithm is proposed to address the high non-linearities of the problem. In addition, to mitigate the unaffordable time-consuming computations, a reduction technique is presented by means of pre-computing the optimal microscopic topologies in a computational material catalogue. As an extension of the first approach, besides designing the microscopic topologies, the macroscopic topology is also considered as a design variable, leading to even more optimal solutions. In addition, the proposed algorithms are modified in order to obtain manufacturable optimal designs. Two-scale topology optimization examples exhibit the potential of the proposed methodology.

AIAA Journal

AIAA Journal Book
Author : American Institute of Aeronautics and Astronautics
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download AIAA Journal book written by American Institute of Aeronautics and Astronautics, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Topology Optimization in Engineering Structure Design

Topology Optimization in Engineering Structure Design Book
Author : Jihong Zhu,Tong Gao
Publisher : Elsevier
Release : 2016-11-08
ISBN : 0081021194
Language : En, Es, Fr & De

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Book Description :

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

Active and Passive Smart Structures and Integrated Systems 2007

Active and Passive Smart Structures and Integrated Systems 2007 Book
Author : Yuji Matsuzaki,Mehdi Ahmadian,Donald J. Leo
Publisher : Society of Photo Optical
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.

EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization Book
Author : H.C. Rodrigues,J. Herskovits,C.M. Mota Soares,A.L. Araújo,J.M. Guedes,J.O. Folgado,F. Moleiro,J. F. A. Madeira
Publisher : Springer
Release : 2018-09-13
ISBN : 3319977733
Language : En, Es, Fr & De

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Book Description :

The papers in this volume focus on the following topics: design optimization and inverse problems, numerical optimization techniques,efficient analysis and reanalysis techniques, sensitivity analysis and industrial applications. The conference EngOpt brings together engineers, applied mathematicians and computer scientists working on research, development and practical application of optimization methods in all engineering disciplines and applied sciences.

Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Reviews book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Optimization of Structures and Components

Optimization of Structures and Components Book
Author : Pablo Andrés Muñoz-Rojas
Publisher : Springer Science & Business Media
Release : 2013-09-03
ISBN : 3319007173
Language : En, Es, Fr & De

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Book Description :

Written by an international group of active researchers in the field, this volume presents innovative formulations and applied procedures for sensitivity analysis and structural design optimization. Eight chapters discuss subjects ranging from recent developments in the determination and application of topological gradients, to the use of evolutionary algorithms and meta-models to solve practical engineering problems. With such a comprehensive set of contributions, the book is a valuable source of information for graduate students and researchers entering or working in the matter.

SIAM Journal on Control and Optimization

SIAM Journal on Control and Optimization Book
Author : Society for Industrial and Applied Mathematics
Publisher : Unknown
Release : 2007
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download SIAM Journal on Control and Optimization book written by Society for Industrial and Applied Mathematics, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Annual Report

Annual Report Book
Author : Danish Center for Applied Mathematics and Mechanics
Publisher : Unknown
Release : 2006
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Annual Report book written by Danish Center for Applied Mathematics and Mechanics, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Topology Optimization Theory for Laminar Flow

Topology Optimization Theory for Laminar Flow Book
Author : Yongbo Deng,Yihui Wu,Zhenyu Liu
Publisher : Springer
Release : 2017-09-27
ISBN : 9811046875
Language : En, Es, Fr & De

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Book Description :

This book presents the topology optimization theory for laminar flows with low and moderate Reynolds numbers, based on the density method and level-set method, respectively. The density-method-based theory offers efficient convergence, while the level-set-method-based theory can provide anaccurate mathematical expression of the structural boundary. Unsteady, body-force-driven and two-phase properties are basic characteristics of the laminar flows. The book discusses these properties, which are typical of microfluidics and one of the research hotspots in the area of Micro-Electro-Mechanical Systems (MEMS), providing an efficient inverse design approach for microfluidic structures. To demonstrate the applications of this topology optimization theory in the context of microfluidics, it also investigates inverse design for the micromixer, microvalve and micropump, which are key elements in lab-on-chip devices.

Annual Review of Materials Research

Annual Review of Materials Research Book
Author : Anonim
Publisher : Unknown
Release : 2010
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Computer Modeling in Engineering Sciences

Computer Modeling in Engineering   Sciences Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Design Optimisation and Validation of Phononic Crystal Plates for Manipulation of Elastodynamic Guided Waves

Design Optimisation and Validation of Phononic Crystal Plates for Manipulation of Elastodynamic Guided Waves Book
Author : Saeid Hedayatrasa
Publisher : Springer
Release : 2018-01-09
ISBN : 3319729594
Language : En, Es, Fr & De

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Book Description :

This thesis proposes novel designs of phononic crystal plates (PhPs) allowing ultra-wide controllability frequency ranges of guided waves at low frequencies, with promising structural and tunability characteristics. It reports on topology optimization of bi-material-layered (1D) PhPs allowing maximized relative bandgap width (RBW) at target filling fractions and demonstrates multiscale functionality of gradient PhPs. It also introduces a multi-objective topology optimization method for 2D porous PhPs allowing both maximized RBW and in-plane stiffness and addresses the critical role of considering stiffness in designing porous PhPs. The multi-objective topology optimization method is then expanded for designing 2D porous PhPs with deformation induced tunability. A variety of innovative designs are introduced which their maximized broadband RBW is enhanced by, is degraded by or is insensitive to external finite deformation. Not only does this book address the challenges of new topology optimization methods for computational design of phononic crystals; yet, it demonstrated the suitability and applicability of the topological designs by experimental validation. Furthermore, it offers a comprehensive review of the existing optimization-based approaches for the design of finite non-periodic acoustic metamaterial structures, acoustic metamaterial lattice structures and acoustic metamaterials under perfect periodicity.

Dissertation Abstracts International

Dissertation Abstracts International Book
Author : Anonim
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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