Meshfree Methods: Moving Beyond the Finite Element Method

ISBN-13: 9781420082098 / Angielski / Twarda / 2009 / 792 str.

G. R. Liu

Opis

This updated second edition provide a thorough introduction to the latest methods for solving engineering problems. These methods move beyond finite difference and finite element methods, which have inherent limitations in flexibility, effectiveness, and speed when applied to present-day complex engineering analysis. This edition presents the latest developments in the field, including X-FEM, crack tip enrichment, gradient smoothing methods (GSM), and other specific technologies. The programming code found in the final chapter has also been updated.

Spis treści

Preliminaries. Meshfree Shape Function Construction. Function Spaces for Meshfree Methods. Strain Field Construction. Weak and Weakened Weak Formulations. Element Free Galerkin Method. Meshless Local Petrov–Galerkin Method. Point Interpolation Methods. Meshfree Methods for Fluid Dynamics Problem. Meshfree Methods for Beams. Meshfree Methods for Plates. Meshfree Methods for Shells. Boundary Meshfree Methods. Meshfree Methods Coupled with Other Methods. Meshfree Methods for Adaptive Analysis. MFree2D^©. Index.

O autorze

G.R. Liu is the director of the Centre for Advanced Computations in Engineering Science (ACES) and professor in the Department of Mechanical Engineering at the National University of Singapore.