On the dynamic propagation of cracks
type: Item
instance of: scholarly article
title: On the dynamic propagation of cracks
zbMATH Open document ID: 0786.73056
DOI: 10.1016/0021-8928(92)90089-Q
author: V. V. Bolotin
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-03T00:00:00Z
review text: The universal approach to problems of the stability and quasistatic growth of cracks in solids during cyclic loading and loading which slowly varies with time is generalized to dynamic crack propagation processes. The general equation of d'Alembert-Lagrange dynamics for systems with two groups of generalized coordinates, Griffiths coordinates and Lagrange coordinates, serves as the starting point. A system of equations is obtained which enables one to describe the dynamical behaviour of bodies with cracks for fixed crack parameters, the dynamic propagation of cracks and also the transition of a body with a cracks-load system from one state to another.
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 500878
zbMATH Keywords: stability
zbMATH Keywords: quasistatic growth of cracks
zbMATH Keywords: cyclic loading
zbMATH Keywords: d'Alembert- Lagrange dynamics
zbMATH Keywords: generalized coordinates
zbMATH Keywords: Griffiths coordinates
zbMATH Keywords: Lagrange coordinates
MaRDI profile type: Publication
cites work: Q3796869
cites work: Doubly asymptotic trajectories and integrability conditions for Hamiltonian systems
description: scientific article; zbMATH DE number 500878