continuum damage mechanics a continuum mechanics approach to the analysis of damage and fracture

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Continuum Damage Mechanics

Author : Sumio Murakami
ISBN : 9789400726666
Genre : Technology & Engineering
File Size : 50. 42 MB
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Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.

Applications Of Continuum Damage Mechanics To Fatigue And Fracture

Author : David L. McDowell
ISBN : 0803124732
Genre : Technology & Engineering
File Size : 28. 89 MB
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Contains papers from the May 1996 Symposium on Applications of Continuum Damage Mechanics (CDM) to Fatigue and Fracture. Papers in Section I deal with various aspects of modeling damage in composite materials, such as high temperature environmental degradation, fatigue, and viscous damage in metal a

Damage Mechanics

Author : D. Krajcinovic
ISBN : 9780080530246
Genre : Technology & Engineering
File Size : 51. 7 MB
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This book provides the first truly comprehensive study of damage mechanics. All concepts are carefully identified and defined in micro- and macroscopic scales. In terms of the methods and observation scales, the main part of the book is divided into three chapters. These chapters consider the stochastic models applied to atomistic scale, micromechanical models (for arbitary concentrations of defects) on microscopic scale and continuum models on the macroscopic scale. It is intended for people who are doing or planning to do research in the mechanics and material science aspects of brittle deformation of solids with heterogeneous microstructure.

Continuum Damage And Fracture Mechanics

Author : Andreas Öchsner
ISBN : 9789812878656
Genre : Technology & Engineering
File Size : 58. 18 MB
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This textbook offers readers an introduction to fracture mechanics, equipping them to grasp the basic ideas of the presented approaches to modeling in applied mechanics In the first part, the book reviews and expands on the classical theory of elastic and elasto-plastic material behavior. A solid understanding of these two topics is the essential prerequisite to advancing to damage and fracture mechanics. Thus, the second part of this course provides an introduction to the treatment of damage and fractures in the context of applied mechanics Wherever possible, the one-dimensional case is first introduced and then generalized in a following step. This departs somewhat from the more classical approach, where first the most general case is derived and then simplified to special cases. In general, the required mathematics background is kept to a minimum Tutorials are included at the end of each chapter, presenting the major steps for the solution and offering valuable tips and tricks. The supplementary problems featured in the book

Damage Mechanics

Author : George Z. Voyiadjis
ISBN : 1420027832
Genre : Science
File Size : 46. 91 MB
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Before a structure or component can be completed, before any analytical model can be constructed, and even before the design can be formulated, you must have a fundamental understanding of damage behavior in order to produce a safe and effective design. Damage Mechanics presents the underlying principles of continuum damage mechanics along with the latest research. The authors consider both isotropic and anisotropic theories as well as elastic and elasto-plastic damage analyses using a self-contained, easily understood approach. Beginning with the requisite mathematics, Damage Mechanics guides you from the very basic concepts to advanced mathematical and mechanical models. The first chapter offers a brief MAPLE® tutorial and supplies all of the MAPLE commands needed to solve the various problems throughout the chapter. The authors then discuss the basics of elasticity theory within the continuum mechanics framework, the simple case of isotropic damage, effective stress, damage evolution, kinematic description of damage, and the general case of anisotropic damage. The remainder of the book includes a review of plasticity theory, formulation of a coupled elasto-plastic damage theory developed by the authors, and the kinematics of damage for finite-strain elasto-plastic solids. From fundamental concepts to the latest advances, this book contains everything that you need to study the damage mechanics of metals and homogeneous materials.

Damage Mechanics Of Composite Materials

Author : R. Talreja
ISBN : 0444888527
Genre : Technology & Engineering
File Size : 50. 48 MB
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Damage mechanics is concerned with mechanics-based analyses of microstructural events in solids responsible for changes in their response to external loading. The microstructural events can occur as cracks, voids, slipped regions, etc., with a spatial distribution within the volume of a solid. If a solid contains oriented elements in its microsctructure, e.g. fibers, the heterogeneity and asisotropy aspects create situations which form a class of problems worthy of special treatment. This book deals with such treatments with particular emphasis on application to technological composite materials. Chapter one describes the basic principles underlying both the micromechanics approach and the continuum damage mechanics approach. It also reviews the relevant statistical concepts. The next three chapters are devoted to developments of the continuum damage mechanics approach related to characterization of damage with internal variables, evolution of damage and its coupling with other inelastic effects such as plasticity. Chapter 5 describes observations of damage from notches in composite laminates and puts forward some pragmatic modelling ideas for a complex damage configuration. The next two chapters form the bulk of the micromechanics approach in this volume. The first one deals with microcracking and the other with interfacial damage in composite materials.

Engineering Damage Mechanics

Author : Jean Lemaitre
ISBN : 3540215034
Genre : Technology & Engineering
File Size : 54. 70 MB
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Reflecting his major contributions to the field, Jean Lemaitre’s "Engineering Damage Mechanics" presents simplified and advanced methods organized within a unified framework for designers of any mechanical component. Explains how to apply continuous damage mechanics to failures of mechanical and civil engineering components in ductile, creep, fatigue and brittle conditions. Incorporates many basic examples, while emphasizing key practical considerations such as material parameter identification, and provides perspective on the advantage and disadvantages of various approaches.

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