The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Dover Civil and Mechanical Engineering)
This text is geared toward assisting engineering and physical science students in cultivating comprehensive skills in linear static and dynamic finite element methodology. According to courses taught at Stanford University and the California Institute of Technology, it ranges from fundamental concepts to practical computer implementations. Additional sections touch upon the frontiers of research, making the book of potential interest to more experienced analysts and researchers working in the finite element field.
In addition to its examination of a large number of standard aspects of the finite element method, the volume includes many unique components, including a comprehensive presentation and analysis of algorithms of time-dependent phenomena, plus beam, plate, and shell theories derived right away from three-dimensional elasticity theory. It also incorporates a systematic remedy of “weak,” or variational, formulations for diverse classes of initial/boundary-value problems.
Directed toward students without in-depth mathematical training, the text accommodates introductory material at the mathematical theory of finite elements and plenty of vital mathematical results, making it an ideal primer for more advanced works in this subject.