《纺织复合材料》课程参考文献（Multiscale Modeling and Simulation of Composite Materials and Structures）Contents

Young W.Kwon.David H.Allen ·Ramesh Talreja Editors Multiscale Modeling and Simulation of Composite Materials and Structures Springer

Young W. Kwon • David H. Allen • Ramesh Talreja Editors Multiscale Modeling and Simulation of Composite Materials and Structures

Preface Ever since Democritus hypothesized the existence of the atom in the third century BC,evidence of the existence of physical phenomena on extremely small length scales has been accumulating.With the publication of Copernicus'book on the sun-centered solar system in 1543,evidence began to pile up that physical phenomena also occur on extremely large length scales.Today,it is not possible for us to put reliable bounds on either extreme.Indeed,just as the span of time is potentially infinite,the span of length may be unbounded. Over the twentieth century,the most fundamental of sciences expanded the span of length by many orders of magnitude.Now,in the twenty-first century,one of the primary goals of science and technology seems to be the quest to develop reliable methods for linking physical phenomena that occur over multiple length scales.We now know that many vastly different fields of science such as biology,cosmology,paleontology,atmospheric physics,materials science,and even social sciences are faced with issues involving multiple length scales. Until recently,our computational tools did not seem to be sufficiently powerful to engage in research activities focused on multiple length scales However,with the rise of the high-speed digital computer,we now have the power to attempt to resolve scientific issues that were heretofore beyond our reach.Consider a single example-the growth of a crack in a ductile multigrain crystalline metal.Is this a problem in continuum mechanics,or is it molecular in scale?Or is it even smaller,perhaps even at the quantum scale?Evidence today seems to suggest that it is all of these,and that the physical phenomena observed at any of these length scales are indeed causatively linked to those on the neighboring length scales.Therefore,it would seem that the scientific profession is faced with a formidable challenge if predictive methodologies for such complicated phenomena are to be forthcoming.In the words of one of our colleagues, "A scientist loves a good challenge!

Ever since Democritus hypothesized the existence of the atom in the third century BC, evidence of the existence of physical phenomena on extremely small length scales has been accumulating. With the publication of Copernicus’ book on the sun-centered solar system in 1543, evidence began to pile up that physical phenomena also occur on extremely large length scales. Today, it is not possible for us to put reliable bounds on either extreme. Indeed, just as the span of time is potentially infinite, the span of length may be unbounded. Over the twentieth century, the most fundamental of sciences expanded the span of length by many orders of magnitude. Now, in the twenty-first century, one of the primary goals of science and technology seems to be the quest to develop reliable methods for linking physical phenomena that occur over multiple length scales. We now know that many vastly different fields of science such as biology, cosmology, paleontology, atmospheric physics, materials science, and even social sciences are faced with issues involving multiple length scales. Until recently, our computational tools did not seem to be sufficiently powerful to engage in research activities focused on multiple length scales. However, with the rise of the high-speed digital computer, we now have the power to attempt to resolve scientific issues that were heretofore beyond our reach. Consider a single example – the growth of a crack in a ductile multigrain crystalline metal. Is this a problem in continuum mechanics, or is it molecular in scale? Or is it even smaller, perhaps even at the quantum scale? Evidence today seems to suggest that it is all of these, and that the physical phenomena observed at any of these length scales are indeed causatively linked to those on the neighboring length scales. Therefore, it would seem that the scientific profession is faced with a formidable challenge if predictive methodologies for such complicated phenomena are to be forthcoming. In the words of one of our colleagues, “A scientist loves a good challenge!” Preface

vi Preface In this text,we present recent work of 13 leaders in the field of multi- scale mechanics,along with their coauthors,aimed at composite materials and structures.It is our hope that you the reader will in turn be challenged by these chapters,and that you will find your own paths to future develop- ments in what amounts to one of the great problems of our time. The editors thank Peter Beaumont because the inception of this book came out at the meeting"Advances in Multiscale Modeling of Composite Material Systems and Components"held in Monterey,California organized by him;Caitlin Wormesley,Greg Franklin,Carol Day,and Alex Greene of Springer for their support;and Patricia Worster at University of Nebrska for her dedicated service in editing all manuscripts. Y.W.Kwon D.H.Allen R.Talreja

vi Preface The editors thank Peter Beaumont because the inception of this book Material Systems and Components” held in Monterey, California organized by him; Caitlin Wormesley, Greg Franklin, Carol Day, and Alex Greene of Springer for their support; and Patricia Worster at University of Nebrska for her dedicated service in editing all manuscripts. Y.W. Kwon D.H. Allen R. Talreja In this text, we present recent work of 13 leaders in the field of multi￾scale mechanics, along with their coauthors, aimed at composite materials and structures. It is our hope that you the reader will in turn be challenged by these chapters, and that you will find your own paths to future develop￾ments in what amounts to one of the great problems of our time. came out at the meeting “Advances in Multiscale Modeling of Composite

Contents PrefaceV Chapter 1 Account for Random Microstructure in Multiscale Models.................... Vadim V.Silberschmidt Chapter 2 Multiscale Modeling of Tensile Failure in Fiber-Reinforced Composites....... .37 Zhenhai Xia and W.A.Curtin Chapter 3 Adaptive Concurrent Multi-Level Model for Multiscale Analysis of Composite Materials Including Damage................. 83 Somnath Ghosh Chapter 4 Multiscale and Multilevel Modeling of Composites...................... 165 Young W.Kwon Chapter 5 A Micromechanics-Based Notion of Stress for Use in the Determination of Continuum-Level Mechanical Properties via Molecular Dynamics... 203 Francesco Costanzo and Gary L.Gray Chapter 6 Multiscale Modeling and Simulation of Deformation in Nanoscale Metallic Multilayered Composites 235 F.Akasheh and H.M.Zbib

Chapter 1 Vadim V. Silberschmidt Chapter 2 Multiscale Modeling of Tensile Failure in Fiber-Reinforced Chapter 3 Somnath Ghosh Chapter 4 Young W. Kwon Chapter 5 in the Determination of Continuum-Level Mechanical Properties Francesco Costanzo and Gary L. Gray Chapter 6 Multiscale Modeling and Simulation of Deformation Contents Zhenhai Xia and W.A. Curtin A Micromechanics-Based Notion of Stress for Use F. Akasheh and H.M. Zbib Preface ........................................................................................................v Composites ................................................................................................37 of Composite Materials Including Damage ...............................................83 Multiscale and Multilevel Modeling of Composites...............................165 via Molecular Dynamics ..........................................................................203 in Nanoscale Metallic Multilayered Composites ....................................235 Account for Random Microstructure in Multiscale Models ........................1 Adaptive Concurrent Multi-Level Model for Multiscale Analysis

vill Contents Chapter 7 Multiscale Modeling of Composites Using Analytical Methods ............271 L.N.McCartney Chapter 8 Nested Nonlinear Multiscale Frameworks for the Analysis of Thick-Section Composite Materials and Structures..317 Rami Haj-Ali Chapter 9 Predicting Thermooxidative Degradation and Performance of High-Temperature Polymer Matrix Composites.........................359 G.A.Schoeppner,G.P.Tandon and K.V.Pochiraju Chapter 10 Modeling of Stiffness,Strength,and Structure-Property Relationship in Crosslinked Silica Aerogel.............................. 463 Samit Roy and Awlad Hossain Chapter 11 Multiscale Modeling of the Evolution of Damage in Heterogeneous Viscoelastic Solids 495 David H.Allen and Roberto F.Soares Chapter 12 Multiscale Modeling for Damage Analysis......... 529 Ramesh Talreja and Chandra Veer Singh Chapter 13 Hierarchical Modeling of Deformation of Materials from the Atomic to the Continuum Scale 579 Namas Chandra Index.. .625

Chapter 9 Predicting Thermooxidative Degradation and Performance G.A. Schoeppner, G.P. Tandon and K.V. Pochiraju Chapter 10 Samit Roy and Awlad Hossain Chapter 11 Multiscale Modeling of the Evolution of Damage David H. Allen and Roberto F. Soares Chapter 12 Chapter 13 Hierarchical Modeling of Deformation of Materials Namas Chandra Chapter 8 Nested Nonlinear Multiscale Frameworks for the Analysis Rami Haj-Ali viii Contents Modeling of Stiffness, Strength, and Structure–Property Ramesh Talreja and Chandra Veer Singh Chapter 7 L.N. McCartney Multiscale Modeling of Composites Using Analytical Methods ............271 of Thick-Section Composite Materials and Structures ............................317 of High-Temperature Polymer Matrix Composites .................................359 Relationship in Crosslinked Silica Aerogel .............................................463 in Heterogeneous Viscoelastic Solids .....................................................495 Multiscale Modeling for Damage Analysis .............................................529 from the Atomic to the Continuum Scale ...............................................579 Index........................................................................................................625