Solution of three-dimensional problems of the dynamic theory of elasticityfor bodies with cracks using hypersingular integrals

Authors
Zozulya, VV Men'shikov, VA
Citation
Vv. Zozulya et Va. Men'Shikov, Solution of three-dimensional problems of the dynamic theory of elasticityfor bodies with cracks using hypersingular integrals, INT AP MECH, 36(1), 2000, pp. 74-81
Citations number
7
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL APPLIED MECHANICS
ISSN journal
10637095 → ACNP
Volume
36
Issue
1
Year of publication
2000
Pages
74 - 81
Database
ISI
SICI code
1063-7095(200001)36:1<74:SOTPOT>2.0.ZU;2-7
Abstract
Expressions are derived for the singular kernels of a system of integral eq uations that describe a three-dimensional dynamic problem for a cracked ela stic body under harmonic loading. The order of singularity of the kernels o f the integral equations is analyzed. Relations that allow reducing hypersi ngular surface integrals to ordinary contour ones are obtained. Test calcul ations are conducted.