Optimal Design Of Multi Phase Materials

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Optimal Design Of Multi Phase Materials

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Author : Juan Casado-Díaz
language : en
Publisher: Springer Nature
Release Date : 2022-03-31

Optimal Design Of Multi Phase Materials written by Juan Casado-Díaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-31 with Mathematics categories.

This book aims the optimal design of a material (thermic or electrical) obtained as the mixture of a finite number of original materials, not necessarily isotropic. The problem is to place these materials in such a way that the solution of the corresponding state equation minimizes a certain functional that can depend nonlinearly on the gradient of the state function. This is the main novelty in the book. It is well known that this type of problems has no solution in general and therefore that it is needed to work with a relaxed formulation. The main results in the book refer to how to obtain such formulation, the optimality conditions, and the numerical computation of the solutions. In the case of functionals that do not depend on the gradient of the state equation, it is known that a relaxed formulation consists of replacing the original materials with more general materials obtained via homogenization. This includes materials with different properties of the originals but whose behavior can be approximated by microscopic mixtures of them. In the case of a cost functional depending nonlinearly on the gradient, it is also necessary to extend the cost functional to the set of these more general materials. In general, we do not dispose of an explicit representation, and then, to numerically solve the problem, it is necessary to design strategies that allow the functional to be replaced by upper or lower approximations. The book is divided in four chapters. The first is devoted to recalling some classical results related to the homogenization of a sequence of linear elliptic partial differential problems. In the second one, we define the control problem that we are mainly interested in solving in the book. We obtain a relaxed formulation and their main properties, including an explicit representation of the new cost functional, at least in the boundary of its domain. In the third chapter, we study the optimality conditions of the relaxed problem, and we describe some algorithms to numerically solve the problem. We also provide some numerical experiments carried out using such algorithms. Finally, the fourth chapter is devoted to briefly describe some extensions of the results obtained in Chapters 2 and 3 to the case of dealing with several state equations and the case of evolutive problems. The problems covered in the book are interesting for mathematicians and engineers whose work is related to mathematical modeling and the numerical resolution of optimal design problems in material sciences. The contents extend some previous results obtained by the author in collaboration with other colleagues.

Optimal Design With Advanced Materials

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Author : P. Pedersen
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Optimal Design With Advanced Materials written by P. Pedersen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.

Optimal design with advanced materials is becoming a very progressive and challenging domain within applied mechanics. The increasing use of advanced materials, such as anisotropic fiber composites and ceramics, is instigating new developments to be made within constitutive modelling and the computational methods of analysis, sensitivity analysis and optimization. A new dimension of optimal design is being realised by the direct tailoring and building of new materials. Research in this area is accelerating rapidly with the results already being applied to high technology industries. Two vital high technology research areas covered in this volume include homogenization and smart materials/structures. The 31 papers will prove an indispensable reference source for all those involved in the interdisciplinary research and development aspects of mechanics, materials and mathematics in the design of advanced materials.

Effective Design Method For Co

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Author : Xiujuan Zhang
language : en
Publisher: Open Dissertation Press
Release Date : 2017-01-27

Effective Design Method For Co written by Xiujuan Zhang and has been published by Open Dissertation Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with Technology & Engineering categories.

This dissertation, "An Effective Design Method for Components Made of a Multiphase Perfect Material" by Xiujuan, Zhang, 張秀娟, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled An Effective Design Method for Components Made of a Multiphase Perfect Material Submitted by Zhang, Xiujuan for the Degree of Doctor of Philosophy at The University of Hong Kong in November 2004 As technology continues to develop rapidly, requirements for special functions of components are becoming ever more demanding. Since different regions of a component may have different special requirements, components made of a single material cannot meet all special requirements in their different regions. It is therefore necessary to use components made of different materials and also optimize the use of different materials, in much the same way as materials such as bamboo, tooth, and bone have naturally evolved over time to fulfill their functions perfectly. A component with a perfect combination of different materials in its different regions for a specific application is termed a component made of a multiphase perfect material (CMMPM). Such components need to satisfy many requirements and their corresponding constraints. A systematic design method has therefore been developed and is implemented from functional requirements to the component configuration, to material properties, and to material microstructures and constituent compositions. Based on the new design method, this study further develops the detailed approaches and their computer software prototypes for determining the optimal material iproperties needed in different regions of the component according to its functional requirements, and for selecting the optimal material constituent compositions and microstructures in different regions of the component according to the optimal material properties required. For determining optimal material properties, an algorithm of sensitivity analysis and optimization for the implicit relationship expression determined by the finite element analysis is developed, because the relationship between the component's objective performances and the material properties in different regions is very difficult to be expressed in the form of accurate functions and thus conventional optimization methods cannot be applied. For selecting materials, a material database for designing CMMPMs and an improved Genetic Algorithm (GA) are developed. The database is developed to cover homogeneous materials and different types of heterogeneous materials, and includes a novel sub-database for heterogeneous materials with a periodic microstructure developed from topology optimization and homogenization theories. In the improved GA, the "family tree" concept is adopted to evaluate the degree of homology between chromosomes, in order to reduce inbreeding and premature convergence. During the material selection using the improved GA, a special constraint was considered, namely the material affinity of two adjacent material regions. The criteria of chemical affinity and physical affinity between different materials were defined, developed, and used to evaluate the priority of two different materials to be selected. iiSome design examples are introduced using the approaches developed. Components that could not be obtained by conventional design methods were designed successfully, demonstrating that designers can use the method to design their CMMPMs to meet special functional requirements in high-tech applications effec

Multiscale Lattices And Composite Materials Optimal Design Modeling And Characterization

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Author : Fernando Fraternali
language : en
Publisher: Frontiers Media SA
Release Date : 2019-11-26

Multiscale Lattices And Composite Materials Optimal Design Modeling And Characterization written by Fernando Fraternali and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-26 with categories.

An Effective Design Method For Components Made Of A Multiphase Perfect Material

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Author : Xiujuan Zhang (Ph.D.)
language : en
Publisher:
Release Date : 2004

An Effective Design Method For Components Made Of A Multiphase Perfect Material written by Xiujuan Zhang (Ph.D.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Composite materials categories.

Optimal Design Of Material Microstructures And Optimization Of Structural Topology For Design Dependent Loads

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Author : Bing-Chung Chen
language : en
Publisher:
Release Date : 2000

Optimal Design Of Material Microstructures And Optimization Of Structural Topology For Design Dependent Loads written by Bing-Chung Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Prediction Of Properties And Optimal Design Of Microstructure Of Multi Phase And Multi Layer C Sic Composites

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Author : Yingjie Xu
language : en
Publisher:
Release Date : 2011

Prediction Of Properties And Optimal Design Of Microstructure Of Multi Phase And Multi Layer C Sic Composites written by Yingjie Xu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.

Carbon fiber-reinforced silicon carbide matrix (C/SiC) composite is a ceramic matrixcomposite (CMC) that has considerable promise for use in high-temperature structuralapplications. In this thesis, systematic numerical studies including the prediction of elasticand thermal properties, analysis and optimization of stresses and simulation ofhigh-temperature oxidations are presented for the investigation of C/SiC composites.A strain energy method is firstly proposed for the prediction of the effective elastic constantsand coefficients of thermal expansion (CTEs) of 3D orthotropic composite materials. Thismethod derives the effective elastic tensors and CTEs by analyzing the relationship betweenthe strain energy of the microstructure and that of the homogenized equivalent model underspecific thermo-elastic boundary conditions. Different kinds of composites are tested tovalidate the model.Geometrical configurations of the representative volume cell (RVC) of 2-D woven and 3-Dbraided C/SiC composites are analyzed in details. The finite element models of 2-D wovenand 3-D braided C/SiC composites are then established and combined with the stain energymethod to evaluate the effective elastic constants and CTEs of these composites. Numericalresults obtained by the proposed model are then compared with the results measuredexperimentally.A global/local analysis strategy is developed for the determination of the detailed stresses inthe 2-D woven C/SiC composite structures. On the basis of the finite element analysis, theprocedure is carried out sequentially from the homogenized composite structure of themacro-scale (global model) to the parameterized detailed fiber tow model of the micro-scale(local model). The bridge between two scales is realized by mapping the global analysisresult as the boundary conditions of the local tow model. The stress results by global/localmethod are finally compared to those by conventional finite element analyses.Optimal design for minimizing thermal residual stress (TRS) in 1-D unidirectional C/SiCcomposites is studied. The finite element models of RVC of 1-D unidirectional C/SiCIIcomposites with multi-layer interfaces are generated and finite element analysis is realized todetermine the TRS distributions. An optimization scheme which combines a modifiedParticle Swarm Optimization (PSO) algorithm and the finite element analysis is used toreduce the TRS in the C/SiC composites by controlling the multi-layer interfaces thicknesses.A numerical model is finally developed to study the microstructure oxidation process and thedegradation of elastic properties of 2-D woven C/SiC composites exposed to air oxidizingenvironments at intermediate temperature (T

Multi Criteria Decision Analysis For Supporting The Selection Of Engineering Materials In Product Design

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Author : Ali Jahan
language : en
Publisher: Butterworth-Heinemann
Release Date : 2016-02-17

Multi Criteria Decision Analysis For Supporting The Selection Of Engineering Materials In Product Design written by Ali Jahan and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-17 with Technology & Engineering categories.

Multi-criteria Decision Analysis for Supporting the Selection of Engineering Materials in Product Design, Second Edition, provides readers with tactics they can use to optimally select materials to satisfy complex design problems when they are faced with the vast range of materials available. Current approaches to materials selection range from the use of intuition and experience, to more formalized computer-based methods, such as electronic databases with search engines to facilitate the materials selection process. Recently, multi-criteria decision-making (MCDM) methods have been applied to materials selection, demonstrating significant capability for tackling complex design problems. This book describes the rapidly growing field of MCDM and its application to materials selection. It aids readers in producing successful designs by improving the decision-making process. This new edition updates and expands previous key topics, including new chapters on materials selection in the context of design problem-solving and multiple objective decision-making, also presenting a significant amount of additional case studies that will aid in the learning process. Describes the advantages of Quality Function Deployment (QFD) in the materials selection process through different case studies Presents a methodology for multi-objective material design optimization that employs Design of Experiments coupled with Finite Element Analysis Supplements existing quantitative methods of materials selection by allowing simultaneous consideration of design attributes, component configurations, and types of material Provides a case study for simultaneous materials selection and geometrical optimization processes

Research And Development Progress Report

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Author : United States. Office of Saline Water
language : en
Publisher:
Release Date : 1970

Research And Development Progress Report written by United States. Office of Saline Water and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Saline water conversion categories.

Topology Optimization Design Of Heterogeneous Materials And Structures

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Author : Daicong Da
language : en
Publisher: John Wiley & Sons
Release Date : 2019-12-30

Topology Optimization Design Of Heterogeneous Materials And Structures written by Daicong Da and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-30 with Mathematics categories.

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.