methods of fundamental solutions in solid mechanics

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Methods of Fundamental Solutions in Solid Mechanics
Author : Hui Wang,Qing-Hua Qin
Publisher : Elsevier
Release Date : 2019-06-06
ISBN 10 : 0128182849
Pages : 312 pages

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

Engineering Solid Mechanics
Author : Abdel-Rahman A. Ragab,Salah Eldin Ahm Bayoumi
Publisher : CRC Press
Release Date : 2018-02-06
ISBN 10 : 1351450921
Pages : 944 pages

Engineering Solid Mechanics bridges the gap between elementary approaches to strength of materials and more advanced, specialized versions on the subject. The book provides a basic understanding of the fundamentals of elasticity and plasticity, applies these fundamentals to solve analytically a spectrum of engineering problems, and introduces advanced topics of mechanics of materials - including fracture mechanics, creep, superplasticity, fiber reinforced composites, powder compacts, and porous solids. Text includes: stress and strain, equilibrium, and compatibility elastic stress-strain relations the elastic problem and the stress function approach to solving plane elastic problems applications of the stress function solution in Cartesian and polar coordinates Problems of elastic rods, plates, and shells through formulating a strain compatibility function as well as applying energy methods Elastic and elastic-plastic fracture mechanics Plastic and creep deformation Inelastic deformation and its applications This book presents the material in an instructive manner, suitable for individual self-study. It emphasizes analytical treatment of the subject, which is essential for handling modern numerical methods as well as assessing and creating software packages. The authors provide generous explanations, systematic derivations, and detailed discussions, supplemented by a vast variety of problems and solved examples. Primarily written for professionals and students in mechanical engineering, Engineering Solid Mechanics also serves persons in other fields of engineering, such as aerospace, civil, and material engineering.

Meshless Methods in Solid Mechanics
Author : Youping Chen,James Lee,Azim Eskandarian
Publisher : Springer Science & Business Media
Release Date : 2006-04-28
ISBN 10 : 0387307362
Pages : 200 pages

This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.

Intermediate Solid Mechanics
Author : Marko V. Lubarda,Vlado A. Lubarda
Publisher : Cambridge University Press
Release Date : 2020-01-31
ISBN 10 : 1108499600
Pages : 352 pages

A concise yet comprehensive treatment of the fundamentals of solid mechanics, including solved examples, exercises, and homework problems.

Recent Developments in Boundary Element Methods
Author : Evangelous J. Sapountzakis
Publisher : WIT Press
Release Date : 2010
ISBN 10 : 1845644921
Pages : 363 pages

This Festschrift is a collection of articles contributed by colleagues, collaborators and past students to honor Professor John T. Katsikadelis on the occasion of his 70 years. Professor Katsikadelis, now an emeritus professor at the National Technical University of Athens in Greece, is one of the BEM pioneers who started his research in this field with his PhD thesis at the Polytechnic Institute of New York in the 1970s and continued it to date.The book comprises 26 contributions by more than 50 leading researchers in Boundary Element Methods (BEM) and other Mesh Reduction Methods (MRM). All contributors are well-known scientists from Asia, Australia, Europe, and North and South America. The volume is essentially a collection of both original and review articles covering a variety of research topics in the areas of solid mechanics, fluid mechanics, potential theory, composite materials, fracture mechanics, damage mechanics, plasticity, heat transfer, dynamics and vibrations and soil-structure interaction. Invaluable to scientists, engineers and other professionals interested in the latest developments of the boundary integral equation methods, it addresses the needs of the BEM computational mechanics research community.The book is written for: researchers in academia and industry and graduate students focusing on solid and fluid mechanics as used in civil, mechanical and aerospace engineering.

Foundations of Solid Mechanics
Author : P. Karasudhi
Publisher : Taylor & Francis
Release Date : 1991
ISBN 10 : 9780792307723
Pages : 439 pages

This book has been written with two purposes, as a textbook for engineering courses and as a reference book for engineers and scientists. The book is an outcome of several lecture courses. These include lectures given to graduate students at the Asian Institute of Technology for several years, a course on elasticity for University of Tokyo graduate students in the spring of 1979, and courses on elasticity, viscoelasticity and ftnite deformation at the National University of Singapore from May to November 1985. In preparing this book, I kept three objectives in mind: ftrst, to provide sound fundamental knowledge of solid mechanics in the simplest language possible; second, to introduce effective analytical and numerical solution methods; and third, to impress on readers that the subject is beautiful, and is accessible to those with only a standard mathematical background. In order to meet those objectives, the ftrst chapter of the book is a review of mathematical foundations intended for anyone whose background is an elementary knowledge of differential calculus, scalars and vectors, and Newton's laws of motion. Cartesian tensors are introduced carefully. From then on, only Cartesian tensors in the indicial notation, with subscript as indices, are used to derive and represent all theories.

Applied Mechanics of Solids
Author : Allan F. Bower
Publisher : CRC Press
Release Date : 2009-10-05
ISBN 10 : 1439802483
Pages : 820 pages

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Engineering Mechanics in Civil Engineering
Author : American Society of Civil Engineers. Engineering Mechanics Division. Specialty Conference
Publisher : Amer Society of Civil Engineers
Release Date : 1984
ISBN 10 :
Pages : 1547 pages

Research in Structural and Solid Mechanics--1982
Author : N.A
Publisher : N.A
Release Date : 1982
ISBN 10 :
Pages : 434 pages

A Symposium on Advances and Trends in Structural and Solid Mechanics was held in Washington, D.C., on October 4-7, 1982. NASA Langley Research Center and George Washington University sponsored the symposium in cooperation with the National Science Foundation, the Office of Naval Research, the Air Force Office of Scientific Research, the American Society of Civil Engineers, and the American Society of Mechanical Engineers. The objectives of the symposium were to communicate recent advances and new insights into physical behavior and to identify the trends in the solution procedures for structural and solid mechanics problems. This conference publication includes 26 papers; 19 were presented at research in progress sessions and 7 at other sessions. The papers deal with (1) computational strategies for nonlinear problems, (2) material characterization, (3) advances in boundary elements and finite element technology, (4) advanced structural applications, (5) structural stability and analytical techniques, and (6) structural dynamics and vehicle crashworthiness.

Fundamental Solutions in Elastodynamics
Author : E. Kausel
Publisher : Cambridge University Press
Release Date : 2006-02-13
ISBN 10 : 9780521855709
Pages : 251 pages

This work contains fundamental solutions for classical, canonical, elastodynamics problems using common format and notation.

IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics
Author : David F. Parker,Arthur H. England
Publisher : Springer Science & Business Media
Release Date : 2013-11-11
ISBN 10 : 940158494X
Pages : 520 pages

Proceedings of the IUTAM-ISIMM Symposium, held in Nottingham, U.K., 30 August--3 September 1994

Applied Mechanics Reviews
Author : N.A
Publisher : N.A
Release Date : 1986
ISBN 10 :
Pages : 329 pages