Finite Element Concepts

The textbook is suitable for a two semester undergraduate or a one semester graduate course

Suitable for engineering, applied mathematics and physics students

Modeled for Civil, mechanical, bio-engineering and engineering mechanics disciplines

Self-study, in styling the book, encourages researchers towards innovative and independent thinking

Synthesizes numerics and graphics through symbolic computation

Mathematica® routines, for transformation and closed form integration on arbitrary convex, concave and curved regions, can be easily integrated in any C++ code for production runs

Also, appropriate for animation and augmented reality industries for color distribution and morphology

Autorentext
Dr. Gautam Dasgupta has been a member of Columbia University faculty since 1977. He has published in the areas of engineering mechanics and computer mathematics including graphics and music. He constructed numerical forms of the viscoelastic correspondence principle, introduced the cloning algorithm to model frequency responses of infinite (unbounded) media with finite elements, derived stochastic shape and Green's functions for finite and boundary element, and proved the Almansi Theorem for anisotropic continua.

Inhalt

1. Bar.- 2. Trusses.- 3. 2-D Llinear Interpolation.- 4. Triangular Elements.- 5. Taig's Convex Quadrilateral Elements.- 6. Irons patch test.- 7. Eight DOFs.- 8. Incompressibility.- 9. Conclusions.