Download or read book Some Non linear Aspects of Crack tip Fields in Finite Elasticity written by Jae-Sung Yang and published by . This book was released on 1985 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non Linear Fracture written by W.G. Knauss and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: From time to time the International Journal of Fracture has presented special matters thought to be of interest to its readers. In previous issues, for example, Dr. H.W. Liu as Guest Editor assembled a series of review papers dealing with fatigue processes and characteristics in metals and non-metals (December 1980 and April 1981). Five years ago Guest Editor W.G. Knauss collected works dealing with dynamic fracture (March and April 1985). Continuing this policy, Dr. W.G. Knauss and Dr. A.J. Rosakis of the California Institute of Technology as Guest Editors have now organized an extensive set of papers concerning the influence of non-linear effects upon the mechanics of the fracture process. This collection is based upon contributions to a relatively small international Symposium on Non Linear Fracture Mechanics held under the auspices of the International Union of Theoretical and Applied Mechanics (IUTAM) and convened at the California Institute of Technology in March 1988. It should be noted that although the description of non-linear fracture inherently encompasses a strong material science component, this aspect is not heavily emphasized in the ensuing papers due to the intentional focus upon mechanics. Volume 42 of the International Journal of Fracture will therefore, in successive issues, deal respectively with topics in (1) Damage, (2) Interfaces and Creep, (3) Time Dependence, and (4) Continuum Plasticity. On behalf of the editors and publishers, I wish to express our appreciation to Dr. Knauss, Dr. Rosakis, and their colleagues for their collective efforts.
Download or read book Extended Finite Element Method for Crack Propagation written by Sylvie Pommier and published by John Wiley & Sons. This book was released on 2013-03-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.
Download or read book Nonlinear Finite Elements for Continua and Structures written by Ted Belytschko and published by John Wiley & Sons. This book was released on 2013-11-25 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.
Download or read book Nonlinear Fracture Mechanics for Engineers written by Ashok Saxena and published by CRC Press. This book was released on 1998-03-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture mechanics is an essential tool for engineers in a number of different engineering disciplines. For example, an engineer in a metals- or plastics-dependent industry might use fracture mechanics to evaluate and characterize materials, while another in aerospace or construction might use fracture mechanics-based methods for product design and service life-time estimation. This balanced treatment, which covers both applied engineering and mathematical aspects of the topic, provides a much-needed multidisciplinary treatment of the field suitable for the many diverse applications of the subject. While texts on linear elastic fracture mechanics abound, no complete treatments of the complex topic of nonlinear fracture mechanics have been available in a textbook format - until now. Written by an author with extensive industry credentials as well as academic experience, Nonlinear Fracture Mechanics for Engineers examines nonlinear fracture mechanics and its applications in mechanics, materials testing, and life prediction of components. The book includes the first-ever complete examination of creep and creep-fatigue crack growth. Examples and problems reinforce the concepts presented. A complete chapter on applications and case studies involving nonlinear fracture mechanics completes this thorough evaluation of this dynamic field of study.
Download or read book Nonlinear Crack Models for Nonmetallic Materials written by Alberto Carpinteri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume a survey of the most relevant nonlinear crack models is provided, with the purpose of analyzing the nonlinear mechanical effects occurring at the tip of macrocracks in quasi-brittle materials - such as concrete, rocks, ceramics, polymers, high-strength metallic alloys - and in brittle-matrix fibre-reinforced composites. Such local effects, as, for example, plastic deformation, yielding, strain-hardening, strain-softening, mechanical damage, matrix microcracking, aggregate debonding, fibre bridging, fibre slippage, crazing, and so on, are properly described through different simplified models, representing the peculiarities of the phenomena involved. The models are introduced and described separately and then compared in the last part of the book. This volume will be of interest to students, professionals and researchers in the field of nonlinear fracture mechanics.
Download or read book Analytical Fracture Mechanics written by David J. Unger and published by Elsevier. This book was released on 1995-10-10 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture mechanics is an interdisciplinary subject that predicts the conditions under which materials fail due to crack growth. It spans several fields of interest including: mechanical, civil, and materials engineering, applied mathematics and physics. This book provides detailed coverage of the subject not commonly found in other texts.Analytical Fracture Mechanics contains the first analytical continuation of both stress and displacement across a finite-dimensional, elastic-plastic boundary of a mode I crack problem. The book provides a transition model of crack tip plasticitythat has important implications regarding failure bounds for the mode III fracture assessment diagram. It also presents an analytical solution to a true moving boundary value problem for environmentally assisted crack growth and a decohesion model of hydrogen embrittlement that exhibits all three stages of steady-state crack propagation.The text will be of great interest to professors, graduate students, and other researchers of theoretical and applied mechanics, and engineering mechanics and science. Presents the only analytical proven solution technique amenable to the second-order nonlinear partial differential equation governing a mode I elastoplastic crack problem Places emphasis on the near crack tip partial differential equations governing plasticity and process zone theory in environmental cracking phenomena Provides fundamental solutions of linear elastic fracture mechanics Explains how transport-controlled stage II environmental crack growth can be mapped onto the classic Stefan problem Predicts failure curves on fracture assessment diagram for mode III crack problem as transition occurs from plastic strip to finite-dimensional plastic zone Gives a summary of pertinent equations of linear elasticity and plasticity
Download or read book Nonlinear Fracture Mechanics written by M.P. Wnuk and published by Springer. This book was released on 2014-05-04 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Experimental Investigation of Singularity at a Crack in Nonlinear Rubber Elasticity written by Nabil Izzeddin Abu Gharbieh and published by . This book was released on 1987 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Solutions for Finite Strain Crack Tip Fields in Soft Incompressible Solids written by Venkat Ramanan Krishnan and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation concerns itself with problems involving cracks under finite deformation in incompressible hyperelastic materials with special application to soft materials. The main focus is on using numerical methods, in particular the finite element method (FEM), to find the solution of crack tip fields under applied far field loads, in materials undergoing axisymmetric, plane stress and plane strain deformations. In the first chapter a large strain finite element analysis is used to study the deformation of an incompressible Neo-Hookean half space in contact with a flat rigid cylindrical punch. Adhesion is assumed between the elastic solid and punch and the deformation is studied as the punch is retracted. Two interface conditions, frictionless and no slip, are considered. Numerical results are compared with prediction of small strain linear elastic (SSLE) theory. The results show that many aspects of the deformation are not captured by the SSLE theory. For example, the interfacial normal stress at the punch edge is much higher for the case with frictionless boundary condition. The deformation profiles are also very different. The results give important insights on how soft adhesives deform when they detach from a hard surface. The second chapter makes use of a finite element model to study the behavior of the large deformation field near the tip of a crack in a soft incompressible plane stress fracture specimen loaded in Mode I. Results are obtained for the case of a NeoHookean solid (ideal rubber) and a hyperelastic solid with exponentially hardening behavior. In contrast to the predictions of linear elastic fracture mechanics (LEFM), the near tip stress fields are dominated by the opening stress which shows a 1/R singularity for the Neo-Hookean material and a -1/RlnR singularity for the exponential hardening solid. The results show very similar qualitative behavior in the near tip stress fields despite the very large difference in strain hardening behavior of the two material models. Further, the results show that the near tip opening stress is controlled by the far field energy release rate for large applied loads. The third chaper presents a numerical study of finite strain deformation fields near the tip of an interface crack between a rigid substrate and an incompressible hyperelastic solid using the finite element method (FEM). The FEM simulations make use of a remeshing scheme to overcome mesh distortion. Analyses are carried out by assuming that the crack tip is either "pinned", i.e., the elastic material is perfectly bonded (full friction) to the rigid substrate, or frictionless. The focus is on a material which hardens exponentially. For both the frictionless interface and the pinned crack under plane stress deformation, it is found that the true stress field directly ahead of the crack tip is dominated by the normal stress (T22) and the crack face opens up smoothly. This is also true for an interface crack along a frictionless boundary in plane strain deformation. However, for a pinned interface crack under plane strain deformation, the true opening normal stress (T22) is found to be lower than the shear stress (T12) and the transverse normal stress (T11). Also, the crack opening profile for a pinned crack under plane strain deformation is completely different from those seen in plane stress and in plane strain (frictionless boundary condition). The crack face flips over and the tip angle is almost tangential to the interface. The results suggest that interface friction can play a very important role in interfacial fracture of soft materials on hard substrates.
Download or read book A Study of Crack tip Fields and Fracture in Elastic plastic Materials written by Myoungseob Kim and published by . This book was released on 1992 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Download or read book Nonlinear Fracture Mechanics Time dependent fracture written by Ashok Saxena and published by ASTM International. This book was released on 1988 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture Mechanics written by Alan T. Zehnder and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture mechanics is a vast and growing field. This book develops the basic elements needed for both fracture research and engineering practice. The emphasis is on continuum mechanics models for energy flows and crack-tip stress- and deformation fields in elastic and elastic-plastic materials. In addition to a brief discussion of computational fracture methods, the text includes practical sections on fracture criteria, fracture toughness testing, and methods for measuring stress intensity factors and energy release rates. Class-tested at Cornell, this book is designed for students, researchers and practitioners interested in understanding and contributing to a diverse and vital field of knowledge.
Download or read book Nonlinear Fracture Mechanics Analysis with the Boundary Integral Method written by T. A. Cruse and published by . This book was released on 1985 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current research makes use of the boundary integral equation (BIE) method, as modified to account exactly for the elastic crack problem. The usual BIE formulation for elastic problems reduces the numerical problem to one of modeling the boundary data, while preserving the complete interior solution of the field equations. In the elastic fracture mechanics problem, the Green's function approach is used wherein the BIE is modified to account for the presence of a stress free crack at an arbitrary location within the structure. The use of the Green's function for the crack eliminates the need to model the boundary of the crack, and provides a complete mathematical description of the elastic strain field within the body, due to the crack. This clearly contrasts with the finite element method which requires that the crack surface and the interior strains be modeled with some set of interpolation functions. However, extension of the fracture mechanics model with the Green's function approach has not been previously demonstrated. The current work reports on the successful extension of the special Green's function formulation for the fracture mechanics problem to the elastoplasticity formulation. Not only has the work resulted in accurate models of crack tip plasticity for a reference problem, but it has shown some important new analytical and numerical results for cracks growing in plastic strain fields. (Author).
Download or read book Fracture Mechanics and Crack Growth written by Naman Recho and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances related to the following two topics: how mechanical fields close to material or geometrical singularities such as cracks can be determined; how failure criteria can be established according to the singularity degrees related to these discontinuities. Concerning the determination of mechanical fields close to a crack tip, the first part of the book presents most of the traditional methods in order to classify them into two major categories. The first is based on the stress field, such as the Airy function, and the second resolves the problem from functions related to displacement fields. Following this, a new method based on the Hamiltonian system is presented in great detail. Local and energetic approaches to fracture are used in order to determine the fracture parameters such as stress intensity factor and energy release rate. The second part of the book describes methodologies to establish the critical fracture loads and the crack growth criteria. Singular fields for homogeneous and non-homogeneous problems near crack tips, v-notches, interfaces, etc. associated with the crack initiation and propagation laws in elastic and elastic-plastic media, allow us to determine the basis of failure criteria. Each phenomenon studied is dealt with according to its conceptual and theoretical modeling, to its use in the criteria of fracture resistance; and finally to its implementation in terms of feasibility and numerical application. Contents 1. Introduction. Part 1: Stress Field Analysis Close to the Crack Tip 2. Review of Continuum Mechanics and the Behavior Laws. 3. Overview of Fracture Mechanics. 4. Fracture Mechanics. 5. Introduction to the Finite Element Analysis of Cracked Structures. Part 2: Crack Growth Criteria 6. Crack Propagation. 7. Crack Growth Prediction in Elements of Steel Structures Submitted to Fatigue. 8. Potential Use of Crack Propagation Laws in Fatigue Life Design.
Download or read book Numerical Assessments of Cracks in Elastic Plastic Materials written by Huang Yuan and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a systematic discussion of crack problems in elastic-plastic materials is presented. The state of the art in fracture mechanics research and assessment of cracks is documented, with the help of analytic, asymptotic methods as well as finite element computations. After a brief introduction to fracture mechanics, the two-parameter concept for stationary cracks is studied in addition to the issues in three-dimensional crack fields under coupling with strong out-of-plane effects. Cracks along interfaces and crack growth problems under mixed mode conditions are also treated. A systematic study of stress singularities for different notches is accompanied by detailed finite element computations.
