On the solution of steady-state elastodynamic crack problems by using complex variable methods

DOI10.1007/BF00949039zbMath0553.73090OpenAlexW1991830059MaRDI QIDQ759558

H. G. Georgiadis, Pericles S. Theocaris

Publication date: 1985

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00949039

zbMATH Keywords

Riemann-Hilbert problemclosed-formmovinganti- plane shearconstant stressescrack faceselliptic wave-equationshyperbolic wave-equationsinfinite bodyplane extensionseries-expansion formsolution of a Dirichlet problemSolutionssteady-state elastodynamic crack problemsstrip-like bodysubsonic crack velocitiestransonic-crack velocitiesvelocity of the crack tip

Mathematics Subject Classification ID

Related Items (4)

Thermo-mechanical stress fields and strain energy associated with a mixed-mode propagating crack ⋮ Investigating the effect of loading on the governing equation at the split region for a semi-infinite crack in an orthotropic material under antiplane loading ⋮ On the solution of steady-state elastodynamic crack problems by using complex variable methods ⋮ The Keldysh-Sedov method for a closed-form elastodynamic solution of the cracked strip under anti-plane shear

Cites Work

• On the solution of steady-state elastodynamic crack problems by using complex variable methods
• On the propagation of a crack in an elastic-brittle material
• Travelling cracks in elastic materials under longitudinal shear
• Complex variable methods and closed form solutions to dynamic crack and punch problems in the classical theory of elasticity
• Some dynamic problems of the theory of elasticity - a review
• Crack propagation in a strip of material under plane extension
• The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid
• Dynamic Stresses Created by a Moving Crack
• On the solution of problems of dynamic plane elasticity
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