SYMPOSIA PAPER Published: 01 January 1977
STP27383S

Analysis of a Rapidly Propagating Crack Using Finite Elements

Source

An application of the finite element method to the rapidly propagating crack problem in two-dimensional domain is presented on the basis of the energy balance concept and the consistent mass formulation. The creation of the new crack surface is simulated by splitting the nodal points along the crack line successively. By introducing the Lagrange multiplier approach into the conventional finite element method of crack propagation analysis, the inconsistency in the method is avoided in that the crack grows by one element length at a time. Several numerical examples are given for rectangular plates made of polymethylmethacrylate (PMMA) with and without initial crack to show the applicability of the proposed method.

Author Information

Yagawa, G
University of Tokyo, Tokyo, Japan
Sakai, Y
University of Tokyo, Tokyo, Japan
Ando, Y
University of Tokyo, Tokyo, Japan
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Details
Developed by Committee: E08
Pages: 109–122
DOI: 10.1520/STP27383S
ISBN-EB: 978-0-8031-4700-3
ISBN-13: 978-0-8031-0341-2