Download or read book Boundary Collocation Techniques and their Application in Engineering written by J.A. Kołodziej and published by WIT Press. This book was released on 2009-10-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of mathematical modelling applied in contemporary computational mechanics can be divided into purely numerical and analytical-numerical procedures. In this book, the first part is a general presentation of the boundary collocation approach and its numerous variants and in the second part the method is applied to many engineering problems.
Download or read book Numerical Fracture Mechanics written by M.H. Aliabadi and published by Springer Science & Business Media. This book was released on 1991-07-31 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present, describe and demonstrate the use of numerical methods in solving crack problems in fracture mechanics. The text concentrates, to a large extent, on the application of the Boundary Element Method (BEM) to fracture mechanics, although an up-to-date account of recent advances in other numerical methods such as the Finite Element Method is also presented. The book is an integrated presentation of modem numerical fracture mechanics, it contains a compilation of the work of many researchers as well as accounting for some of authors' most recent work on the subject. It is hoped that this book will bridge the gap that exists between specialist books on theoretical fracture mechanics on one hand, and texts on numerical methods on the other. Although most of the methods presented are the latest developments in the field of numerical fracture mechanics, the authors have also included some simple techniques which are essential for understanding the physical principles that govern crack problems in general. Different numerical techniques are described in detail and where possible simple examples are included, as well as test results for more complicated problems. The book consists of six chapters. The first chapter initially describes the historical development of theoretical fracture mechanics, before proceeding to present the basic concepts such as energy balance, stress intensity factors, residual strength and fatigue crack growth as well as briefly describing the importance of stress intensity factors in corrosion and residual stress cracking.
Download or read book Mesh Reduction Methods written by C. A. Brebbia and published by WIT Press. This book was released on 2009 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 31st World Conference on Boundary Elements and Other Mesh Reduction Methods, held Sept. 2-4, 2009, Wessex Institute of Technology.
Download or read book THEORY OF ELASTICITY AND FRACTURE MECHANICS written by UKADGAONKER, VIJAY G. and published by PHI Learning Pvt. Ltd.. This book was released on 2015-09-27 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily intended for the postgraduate students of mechanical, civil and other engineering branches, this book covers both theory of elasticity and fracture mechanics in a single volume. It provides the essential fundamental knowledge of the subject matter with solutions that are required in engineering practice and design. Besides, it also teaches students to apply the methods of theory of elasticity in technical calculations on the basis of illustrative examples. The book includes the latest researches done by the author at Indian Institute of Technology Bombay. It covers problems in two-dimensional elasticity, complex variable approach to two-dimensional elasticity, anisotropic elasticity and interaction effect of problems with two holes using Swartz alternating method. The number of problems given as exercise at the end of the chapter will help the students to reinforce the understanding of the subject. Key features • Discusses the subject in an easy to understand manner • Highlights the new theory (Ip Theory) for fracture initiation • Covers stress analysis of fracture and macroscopic theories of fracture • Contains the methods to formulate and solve problems of solid mechanics using Finite Element Method
Download or read book Methods of Fundamental Solutions in Solid Mechanics written by Hui Wang and published by Elsevier. This book was released on 2019-06-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. - Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer - Extends the application of the MFS for use with complex problems - Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer - Gives detailed solution procedures for engineering problems - Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges
Download or read book Scientific Computing and Applications written by Peter Minev and published by Nova Publishers. This book was released on 2001 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing & Applications
Download or read book Chevron notched Specimens Testing and Stress Analysis written by John H. Underwood and published by ASTM International. This book was released on 1984 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Theory Of Anisotropic Plates And Shells written by Lenser A Aghalovyan and published by World Scientific. This book was released on 2015-03-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied.The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation.
Download or read book NASA Technical Note written by and published by . This book was released on 1971 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Trefftz Methods and Their Applications written by Carlos Alves and published by Springer Nature. This book was released on 2020-09-30 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach. Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems. This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. The first eight chapters are devoted to the MFS and variants whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal.
Download or read book The Method of Weighted Residuals and Variational Principles written by Bruce A. Finlayson and published by SIAM. This book was released on 2013-12-30 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.
Download or read book Microhydrodynamics written by Sangtae Kim and published by Courier Corporation. This book was released on 2013-04-26 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is well organized and comprehensive . . . an eloquent and enduring statement of significant hydrodynamic principles." — AIChE Journal Microhydrodynamics concerns the flow and related phenomena pertinent to the motion of small particles suspended in viscous fluids. This text focuses on determining the motion of a particle or particles through a viscous fluid in bounded and unbounded flow. Its central theme is the mobility relation between particle motion and forces. Microhydrodynamics: Principles and Selected Applications functions as a manual that explains methods for solving particulate flows at low-Reynolds number, from analytical to computational methods. The ever-increasing growth in computational power has resulted in a similar growth in the range of solvable problems in microhydrodynamics. Suitable for graduate students in engineering and applied mathematics, this text treats the mathematical foundations and highlights the interplay of both mathematical and physical insights, guiding readers through single particle theory and problems related to multiparticle analyses.
Download or read book Meshfree Approximation Methods With Matlab With Cd rom written by Gregory E Fasshauer and published by World Scientific Publishing Company. This book was released on 2007-04-17 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods.The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.
Download or read book Mathematical Models for Atmospheric Pollutants written by R. L. Drake and published by . This book was released on 1979 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Meshfree Methods for Partial Differential Equations VI written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2012-12-16 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.
Download or read book Structural Integrity and Fracture written by A.V. Dyskin and published by CRC Press. This book was released on 2002-01-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics covered in this title include: the fracturing and damage of composite materials; ceramics; metals; and concretes and rocks at different scales in both monotonic and cyclic loading.
Download or read book Methods of Analysis and Solutions of Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
