Numerical Methods in Mechanics of Materials: With Applications from Nano to Macro Scales

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.\nHowever, 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:\nTrends and new developments in simulation and computation\nWeighted residuals methods\nFinite difference methods\nFinite element methods\nFinite strip/layer/prism methods\nBoundary element methods\nMeshless methods\nMolecular dynamics\nMultiphysics problems\nMultiscale methods