Gridless Computational Methods for Penetration Mechanics
Abstract
Efficient and accurate gridless methods were developed for the simulation of the nonlinear response of solids. Such methods are of potential usefulness in penetration mechanics because they facilitate the modeling of phenomena which involves the creation of new surfaces, such as penetration and fracture, and problems involving high gradients, such as shear bands. Two approaches, moving least mean square interpolants and kernel functions similar to smooth particle hydrodynamics (SPH), have been explored. A correction function was developed and convergence of the corrected approximation was proven for linear problems. Several different approaches were also taken to extending these methods to problems involving large deformations of solids. These methods have been applied to problems involving shear banding and moving cracks. Computations were compared to the Kalthoff experiments and good agreement was achieved with experimental fracture paths. These studies entailed the development of contact-impact algorithms, but within the framework of methodologies based on moving least squares and kernel function interpolants.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 04, 1999
- Accession Number
- ADA384405
Entities
People
- Ted Belytschko
- Wing K. Liu
Organizations
- Northwestern University