multiscale structural topology optimization

Multiscale Structural Topology Optimization
Author: Liang Xia
Publisher: Elsevier
Release Date: 2016-04-27
Pages: 184
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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
Author: Ferdinando Auricchio
Publisher:
Release Date: 2019
Pages:
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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
Author: Daicong Da
Publisher: John Wiley & Sons
Release Date: 2020-01-09
Pages: 200
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

Multi Scale Topological Design Of Structural Materials   An Integrated Approach
Author: Àlex Ferrer Ferré
Publisher:
Release Date: 2017
Pages: 189
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

Advances In Structural And Multidisciplinary Optimization
Author: Axel Schumacher
Publisher: Springer
Release Date: 2017-12-04
Pages: 2115
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

Integrated Design Of Multiscale  Multifunctional Materials And Products
Author: David L. McDowell
Publisher: Butterworth-Heinemann
Release Date: 2009-09-30
Pages: 392
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Integrated Design of Multiscale, Multifunctional Materials and Products is the first of its type to consider not only design of materials, but concurrent design of materials and products. In other words, materials are not just selected on the basis of properties, but the composition and/or microstructure iw designed to satisfy specific ranged sets of performance requirements. This book presents the motivation for pursuing concurrent design of materials and products, thoroughly discussing the details of multiscale modeling and multilevel robust design and provides details of the design methods/strategies along with selected examples of designing material attributes for specified system performance. It is intended as a monograph to serve as a foundational reference for instructors of courses at the senior and introductory graduate level in departments of materials science and engineering, mechanical engineering, aerospace engineering and civil engineering who are interested in next generation systems-based design of materials. First of its kind to consider not only design of materials, but concurrent design of materials and products Treatment of uncertainty via robust design of materials Integrates the "materials by design approach" of Olson/Ques Tek LLC with the "materials selection" approach of Ashby/Granta Distinquishes the processes of concurrent design of materials and products as an overall systems design problem from the field of multiscale modeling Systematic mathematical algorithms and methods are introduced for robust design of materials, rather than ad hoc heuristics--it is oriented towards a true systems approach to design of materials and products

Topology Optimization In Engineering Structure Design
Author: Jihong Zhu
Publisher: Elsevier
Release Date: 2016-11-08
Pages: 294
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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 Structures And Components
Author: Pablo Andrés Muñoz-Rojas
Publisher: Springer Science & Business Media
Release Date: 2013-09-03
Pages: 141
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

EngOpt 2018 Proceedings Of The 6th International Conference On Engineering Optimization
Author: H.C. Rodrigues
Publisher: Springer
Release Date: 2018-09-13
Pages: 1475
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

Computational Mechanics
Author: Zhenhan Yao
Publisher: 清华大学出版社有限公司
Release Date: 2004
Pages: 817
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Topology Optimization Theory For Laminar Flow
Author: Yongbo Deng
Publisher: Springer
Release Date: 2017-09-27
Pages: 250
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

AIAA Journal
Author: American Institute of Aeronautics and Astronautics
Publisher:
Release Date: 2006
Pages:
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Design Optimisation And Validation Of Phononic Crystal Plates For Manipulation Of Elastodynamic Guided Waves
Author: Saeid Hedayatrasa
Publisher: Springer
Release Date: 2018-01-09
Pages: 223
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

Topological Derivatives In Shape Optimization
Author: Antonio André Novotny
Publisher: Springer Science & Business Media
Release Date: 2012-12-14
Pages: 324
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, fracture mechanics sensitivity analysis and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested on the mathematical aspects of topological asymptotic analysis as well as on applications of topological derivatives in computation mechanics.

Proceedings Of The ASME International Design Engineering Technical Conferences And Computers And Information In Engineering Conferences  2005
Author:
Publisher:
Release Date: 2005
Pages:
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Proceedings Of The     ASME Design Engineering Technical Conferences
Author:
Publisher:
Release Date: 2005
Pages:
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Mathematical Reviews
Author:
Publisher:
Release Date: 2007
Pages:
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Advances In Computational Mechanics
Author: Grant P. Steven
Publisher: Trans Tech Publications Ltd
Release Date: 2014-05-21
Pages: 890
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

Collection of selected, peer reviewed papers from the Australasian Conference of Computational Mechanics 2013 (ACCM 2013), October 3-4, 2013, Sydney, Australia. The 139 papers are grouped as follows: Chapter 1: Advanced Materials and Multiscale Modelling, Chapter 2: Computational Fluid Dynamics and Thermofluids, Chapter 3: Aerospace and Vehicle Engineering, Chapter 4: Biomechanics, Biomimetics and Biomedical Engineering, Chapter 5: Geomechanics and Geotechnics, Chapter 6: Structural and Solid Mechanics, Chapter 7: Vibration and Dynamics, Chapter 8: Fracture and Damage, Chapter 9: Impact and Explosive Modelling, Chapter 10: Structural and Topology Optimization

Active And Passive Smart Structures And Integrated Systems 2007
Author: Yuji Matsuzaki
Publisher: Society of Photo Optical
Release Date: 2007
Pages: 718
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

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.

III European Conference On Computational Mechanics
Author: C. A. Mota Soares
Publisher: Springer Science & Business Media
Release Date: 2008-06-05
Pages: 788
ISBN:
Available Language: English, Spanish, And French
EBOOK SYNOPSIS:

III European Conference on Computational Mechanics: Solids, Structures and Coupled Problem in Engineering Computational Mechanics in Solid, Structures and Coupled Problems in Engineering is today a mature science with applications to major industrial projects. This book contains the edited version of the Abstracts of Plenary and Keynote Lectures and Papers, and a companion CD-ROM with the full-length papers, presented at the III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering (ECCM-2006), held in the National Laboratory of Civil Engineering, Lisbon, Portugal 5th - 8th June 2006. The book reflects the state-of-art of Computation Mechanics in Solids, Structures and Coupled Problems in Engineering and it includes contributions by the world most active researchers in this field.