Numerical methods in mechanics of materials : with applications from nano to macro scales / Ken P. Chong, Arthur P. Boresi, Sunil Saigal, James D. Lee.
Material type:
TextPublisher: Boca Raton : Taylor & Francis, CRC Press, 2017Edition: Third editionDescription: 1 online resource (xiv, 157 pages)ISBN: 9781315146010; 9781351380973Subject(s): Materials -- Mechanical properties -- Mathematics | Strength of materials -- Mathematical models | Numerical analysisAdditional physical formats: Print version: : No titleDDC classification: 620.112301518 LOC classification: TA404.8 | .C535 2017Online resources: Click here to view. Includes bibliographical references and indexes.
The role of numerical methods in engineering -- Numerical analysis and weighted residuals -- Finite difference methods -- The finite element method -- Specialized methods -- The boundary element method -- Meshless methods of analysis -- Multiphysics in molecular dynamics simulation -- Multiscale modeling from atoms to genuine continuum.
"In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems.However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up to date references, covering:Trends and new developments in simulation and computationWeighted residuals methodsFinite difference methodsFinite element methodsFinite strip/layer/prism methodsBoundary element methodsMeshless methods Molecular dynamicsMulti-physics problemsMulti-scale methods"--Provided by publisher.