Download or read book A Hybrid Elasticity and Finite Element Method for Three dimensional Contact Problems with Friction written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation presents a new hybrid elasticity and finite element method for general non-conforming contact problems. It is an iterative numerical procedure, which has distinct advantage over classical theory of contact since general geometrical and loading profiles with friction can be treated. And over the traditional contact solution approach in finite element method, it eliminates the use of gap elements and therefore the non-linearity in the solution enhancing accuracy and efficiency of the solution. For the two dimensional problems the equations were derived for a triangular pressure element. While for three-dimensional problems, the analytical solution was derived from Boussinesq and Cerruti equations for conical pressure elements, from which a semi-analytical approach to three-dimensional contact problems with friction was evolved to find the extent of the contact area and the loading distribution over this area together with the extent of the stick and slip zones. The linear static finite element method was then used to find the displacements and stresses throughout the two bodies in contact, which were analyzed separately with the knowledge of the area of contact and the traction over such an area. The method was used for non-conforming bodies but it can be extended to include different kinds of contact problems. The basic theory was presented for both two and three-dimensional non-conforming contact problem, together with algorithm, and numerical examples that showed the accuracy, efficiency and robustness of the method.
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 Finite Element Approximation of Contact and Friction in Elasticity written by Franz Chouly and published by Springer Nature. This book was released on 2023-06-23 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1988 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture of Engineering Materials and Structures written by S.H. Teoh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances in the field of fracture of engineering materials and structures have increasingly indicated its multidisciplinary nature. This area of research now involves scientists and engineers who work in materials science, applied mathematics and mechanics, and also computer scientists. The present volume, which contains the Proceedings of the Joint FEFG/lCF International Conference on Fracture of Engineering Materials and Structures held in Singapore from the 6th to 8th of August 1991, is a testimony of this multidisciplinary nature. This International Conference was the Second Symposium of the Far East Fracture Group (FEFG) and thus provided a unique opportunity for researchers and engineers in the Far East region to exchange and acquire knowledge of new advances and applications in fracture. The Conference was also the Inter-Quadrennial International Conference on Fracture (ICF) for 1991 and thus appealed to researchers in the international arena who wished to take advantage of this meeting to present their findings. The Conference has brought together over 130 participants from more than 24 countries, and they represented government and industrial research laboratories as well as academic institutions. It has thus achieved its objective of bringing together scientists and engineers with different backgrounds and perspectives but with . a common interest in new developments in the fracture of engineering materials and structures. This volume contains 4 keynote papers, 4 invited papers and 130 contributed papers.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mechanics for a New Millennium written by Hassan Aref and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2000 International Congress of Theoretical and Applied Mechanics. The book captures a snapshot view of the state of the art in the field of mechanics and will be invaluable to engineers and scientists from a variety of disciplines.
Download or read book Japanese Science and Technology 1983 1984 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch and published by . This book was released on 1985 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of Applied Mechanics written by and published by . This book was released on 1991 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1980 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Effective Overlapping Finite Element Method written by Benjamin Lai (Ph. D.) and published by . This book was released on 2016 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of finite spheres is an effective overlapping finite element method developed to overcome challenges in mesh-based numerical methods. Commonly recognized challenges include mesh generation for geometrically complex domains, severe element distortion in nonlinear analysis with large strain effects, and modeling problems involving discontinuities and singularities which require mesh alignment and refinement. Substantial research efforts have been focused on addressing these issues, resulting in the introduction of numerous meshless methods. The ultimate purpose of the method of finite spheres is to be distinguished as a reliable and efficient meshless computational technique for the solution of boundary value problems on complex domains, to supplement the capabilities of the standard finite element method. The reliability of the method of finite spheres was previously verified for one- and two-dimensional linear static analysis of solids and fluids. The objective of this thesis is to demonstrate the reliability and effectiveness of the method of finite spheres for the solution of practical three-dimensional linear elasticity problems. An effective local approximation space, which is multiplied by the Shepard partition of unity function, is presented for the construction of three-dimensional interpolation functions. The piecewise Gauss-Legendre quadrature rule, a simple and efficient scheme for the integration of complicated non polynomial basis functions, is introduced for three-dimensional spherical domains. The three-dimensional formulation of the method of finite spheres is implemented in a commercial finite element analysis program with the user-element subroutine, in order to perform a computational efficiency comparison with the standard finite element method. A series of increasingly complex three-dimensional problems is studied (1) to establish the reliability of the method of finite spheres for practical three-dimensional linear elastic static problems and (2) to assess the effectiveness of the method of finite spheres as compared to the standard finite element method. Solution times indicate that the method of finite spheres is approximately an order of magnitude slower than the standard finite element method during the computation phase. However, this is still a promising result since there are significant time savings for the method of finite spheres during the pre-processing phase, particularly in the discretization of complicated three-dimensional geometries.
Download or read book Hydraulic Research in the United States and Canada 1978 written by Pauline H. Gurewitz and published by . This book was released on 1980 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On 3 D Inelastic Analysis Methods for Hot Section Components Volume 1 Special Finite Element Models written by and published by . This book was released on 1987 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contact mechanics perspective of tribology written by Irina Goryacheva and published by Frontiers Media SA. This book was released on 2021-06-04 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rock Mechanics and Engineering Volume 1 written by Xia-Ting Feng and published by CRC Press. This book was released on 2017-03-16 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles is the first volume of the five-volume set Rock Mechanics and Engineering and contains twenty-four chapters from key experts in the following fields: - Discontinuities; - Anisotropy; - Rock Stress; - Geophysics; - Strength Criteria; - Modeling Rock Deformation and Failure. The five-volume set “Comprehensive Rock Engineering”, which was published in 1993, has had an important influence on the development of rock mechanics and rock engineering. Significant and extensive advances and achievements in these fields over the last 20 years now justify the publishing of a comparable, new compilation. Rock Mechanics and Engineering represents a highly prestigious, multi-volume work edited by Professor Xia-Ting Feng, with the editorial advice of Professor John A. Hudson. This new compilation offers an extremely wideranging and comprehensive overview of the state-of-the-art in rock mechanics and rock engineering and is composed of peer-reviewed, dedicated contributions by all the key experts worldwide. Key features of this set are that it provides a systematic, global summary of new developments in rock mechanics and rock engineering practices as well as looking ahead to future developments in the fields. Contributors are worldrenowned experts in the fields of rock mechanics and rock engineering, though younger, talented researchers have also been included. The individual volumes cover an extremely wide array of topics grouped under five overarching themes: Principles (Vol. 1), Laboratory and Field Testing (Vol. 2), Analysis, Modelling and Design (Vol. 3), Excavation, Support and Monitoring (Vol. 4) and Surface and Underground Projects (Vol. 5). This multi-volume work sets a new standard for rock mechanics and engineering compendia and will be the go-to resource for all engineering professionals and academics involved in rock mechanics and engineering for years to come.
