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Multiscale Structural Topology Optimization

Multiscale Structural Topology Optimization
A Book

by Liang Xia

  • Publisher : Elsevier
  • Release : 2016-04-27
  • Pages : 184
  • ISBN : 0081011865
  • Language : En, Es, Fr & De
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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 Design of Heterogeneous Materials and Structures

Topology Optimization Design of Heterogeneous Materials and Structures
A Book

by Daicong Da

  • Publisher : John Wiley & Sons
  • Release : 2020-01-09
  • Pages : 200
  • ISBN : 1786305585
  • Language : En, Es, Fr & De
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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 of Solid and Fluid Structures

Multiscale Topology Optimization of Solid and Fluid Structures
A Book

by Casper Schousboe Andreasen,Danmarks Tekniske Universitet. DTU Mekanik,Danish Center for Applied Mathematics and Mechanics

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 129
  • ISBN : 9788790416591
  • Language : En, Es, Fr & De
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Nonlinear Structural Design Using Multiscale Topology Optimization

Nonlinear Structural Design Using Multiscale Topology Optimization
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2013
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Multiscale Optimization And Materials Design

Multiscale Optimization And Materials Design
A Book

by Jun Yan,Gengdong Cheng

  • Publisher : World Scientific
  • Release : 2020-12-29
  • Pages : 264
  • ISBN : 981121655X
  • Language : En, Es, Fr & De
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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.

DCAMM special report

DCAMM special report
Multiscale topology optimization of solid and fluid structures. No. S 131

by Casper Schousboe Andreasen,Danmarks Tekniske Universitet. DTU Mekanik,Danish Center for Applied Mathematics and Mechanics

  • Publisher : Unknown Publisher
  • Release : 2011
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Topology Optimization Design of Heterogeneous Materials and Structures

Topology Optimization Design of Heterogeneous Materials and Structures
A Book

by Daicong Da

  • Publisher : John Wiley & Sons
  • Release : 2019-12-19
  • Pages : 200
  • ISBN : 1119687535
  • Language : En, Es, Fr & De
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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.

Structural Multiscale Topology Optimization with Stress Constraint for Additive Manufacturing

Structural Multiscale Topology Optimization with Stress Constraint for Additive Manufacturing
A Book

by Ferdinando Auricchio,Elena Bonetti,Massimo Carraturo,Dietmar Hömberg,Alessandro Reali,Elisabetta Rocca

  • Publisher : Unknown Publisher
  • Release : 2019
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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.

Integrated Design of Multiscale, Multifunctional Materials and Products

Integrated Design of Multiscale, Multifunctional Materials and Products
A Book

by David L. McDowell,Jitesh Panchal,Hae-Jin Choi,Carolyn Seepersad,Janet Allen,Farrokh Mistree

  • Publisher : Butterworth-Heinemann
  • Release : 2009-09-30
  • Pages : 392
  • ISBN : 9780080952208
  • Language : En, Es, Fr & De
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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

Advances in Computational Plasticity

Advances in Computational Plasticity
A Book in Honour of D. Roger J. Owen

by Eugenio Oñate,Djordje Peric,Eduardo de Souza Neto,Michele Chiumenti

  • Publisher : Springer
  • Release : 2017-09-09
  • Pages : 434
  • ISBN : 3319608851
  • Language : En, Es, Fr & De
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This book brings together some 20 chapters on state-of-the-art research in the broad field of computational plasticity with applications in civil and mechanical engineering, metal forming processes, geomechanics, nonlinear structural analysis, composites, biomechanics and multi-scale analysis of materials, among others. The chapters are written by world leaders in the different fields of computational plasticity.

Multiscale Topology Optimization

Multiscale Topology Optimization
Modeling and Computation

by Tej Kumar

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 165
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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.

Concurrent Topology Optimization of Structures and Materials

Concurrent Topology Optimization of Structures and Materials
A Book

by Kai Liu

  • Publisher : Unknown Publisher
  • Release : 2013
  • Pages : 186
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Topology optimization allows designers to obtain lightweight structures considering the binary distribution of a solid material. The introduction of cellular material models in topology optimization allows designers to achieve significant weight reductions in structural applications. However, the traditional topology optimization method is challenged by the use of cellular materials. Furthermore, increased material savings and performance can be achieved if the material and the structure topologies are concurrently designed. Hence, multi-scale topology optimization methodologies are introduced to fulfill this goal. The objective of this investigation is to discuss and compare the design methodologies to obtaining optimal macro-scale structures and the corresponding optimal meso-scale material designs in continuum design domains. These approaches make use of homogenization theory to establish communication bridges between both material and structural scales. The periodicity constraint makes such cellular materials manufacturable while relaxing the periodicity constraint to achieve major improvements of structural performance. Penalization methods are used to obtain binary solutions in both scales. The proposed methodologies are demonstrated in the design of stiff structure and compliant mechanism synthesis. The multiscale results are compared with the traditional structural-level designs in the context of Pareto solutions, demonstrating benefits of ultra-lightweight configurations. Errors involved in the mult-scale topology optimization procedure are also discussed. Errors are mainly classified as mesh refinement errors and homogenization errors. Comparisons between the multi-level designs and uni-level designs of solid structures, structures using periodic cellular materials and non-periodic cellular materials are provided. Error quantifications also indicate the superiority of using non-periodic cellular materials rather than periodic cellular materials.

Multi-scale Topological Design of Structural Materials : an Integrated Approach

Multi-scale Topological Design of Structural Materials : an Integrated Approach
A Book

by Àlex Ferrer Ferré

  • Publisher : Unknown Publisher
  • Release : 2017
  • Pages : 189
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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.

Optimization of Structures and Components

Optimization of Structures and Components
A Book

by Pablo Andrés Muñoz-Rojas

  • Publisher : Springer Science & Business Media
  • Release : 2013-09-03
  • Pages : 141
  • ISBN : 3319007173
  • Language : En, Es, Fr & De
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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.

Multiscale Lattices and Composite Materials: Optimal Design, Modeling and Characterization

Multiscale Lattices and Composite Materials: Optimal Design, Modeling and Characterization
A Book

by Fernando Fraternali,Chiara Daraio,Julian J. Rimoli

  • Publisher : Frontiers Media SA
  • Release : 2019-11-26
  • Pages : 129
  • ISBN : 2889631850
  • Language : En, Es, Fr & De
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Advances in Mechanical Design

Advances in Mechanical Design
Proceedings of the 2017 International Conference on Mechanical Design (ICMD2017)

by Jianrong Tan,Feng Gao,Changle Xiang

  • Publisher : Springer
  • Release : 2017-11-14
  • Pages : 1707
  • ISBN : 9811065535
  • Language : En, Es, Fr & De
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Focusing on innovation, these proceedings present recent advances in the field of mechanical design in China and offer researchers, scholars and scientists an international platform to present their research findings and exchange their ideas. In the context of the “Made in China 2025” development strategy, one central aspect of the ICMD2017 was Innovative Design Pushes “Made in China 2025.” The book highlights research hotspots in mechanical design, such as design methodology, green design, robotics and mechanics, and reliability design, while also combining industrial design and mechanical design.

Handbook of Micromechanics and Nanomechanics

Handbook of Micromechanics and Nanomechanics
A Book

by Shaofan Li,Xin-Lin Gao

  • Publisher : CRC Press
  • Release : 2016-04-19
  • Pages : 1264
  • ISBN : 9814411248
  • Language : En, Es, Fr & De
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This book presents the latest developments and applications of micromechanics and nanomechanics. It particularly focuses on some recent applications and impact areas of micromechanics and nanomechanics that have not been discussed in traditional micromechanics and nanomechanics books on metamaterials, micromechanics of ferroelectric/piezoelectric, electromagnetic materials, micromechanics of interface, size effects and strain gradient theories, computational and experimental nanomechanics, multiscale simulations and theories, soft matter composites, and computational homogenization theory. This book covers analytical, experimental, as well as computational and numerical approaches in depth.

Computational Modelling of Concrete Structures

Computational Modelling of Concrete Structures
Proceedings of the Conference on Computational Modelling of Concrete and Concrete Structures (EURO-C 2018), February 26 - March 1, 2018, Bad Hofgastein, Austria

by Günther Meschke,Bernhard Pichler,Jan G. Rots

  • Publisher : CRC Press
  • Release : 2018-01-31
  • Pages : 1034
  • ISBN : 1351726765
  • Language : En, Es, Fr & De
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The EURO-C conference series (Split 1984, Zell am See 1990, Innsbruck 1994, Badgastein 1998, St. Johann im Pongau 2003, Mayrhofen 2006, Schladming 2010, St. Anton am Arlberg 2014, and Bad Hofgastein 2018) brings together researchers and practising engineers concerned with theoretical, algorithmic and validation aspects associated with computational simulations of concrete and concrete structures. Computational Modelling of Concrete Structures reviews and discusses research advancements and the applicability and robustness of methods and models for reliable analysis of complex concrete, reinforced concrete and pre-stressed concrete structures in engineering practice. The contributions cover both computational mechanics and computational modelling aspects of the analysis and design of concrete and concrete structures: Multi-scale cement and concrete research: experiments and modelling Aging concrete: from very early ages to decades-long durability Advances in material modelling of plain concrete Analysis of reinforced concrete structures Steel-concrete interaction, fibre-reinforced concrete, and masonry Dynamic behaviour: from seismic retrofit to impact simulation Computational Modelling of Concrete Structures is of special interest to academics and researchers in computational concrete mechanics, as well as industry experts in complex nonlinear simulations of concrete structures.

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

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

by Liang-Yee Cheng

  • Publisher : Springer Nature
  • Release : 2021
  • Pages : 129
  • ISBN : 3030634035
  • Language : En, Es, Fr & De
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Topology Optimization in Engineering Structure Design

Topology Optimization in Engineering Structure Design
A Book

by Jihong Zhu,Tong Gao

  • Publisher : Elsevier
  • Release : 2016-11-08
  • Pages : 294
  • ISBN : 0081021194
  • Language : En, Es, Fr & De
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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