IJPAM: Volume 42, No. 3 (2008)


David Durban$^1$, Rami Masri$^2$
$^{1,2}$Faculty of Aerospace Engineering
Technion - Israel Institute of Technology
Haifa, 32000, ISRAEL
$^1$e-mail: aer6903@tx.technion.ac.il
$^2$e-mail: masri@tx.technion.ac.il

Abstract.Elastoplastic deformation patterns, induced by expanding cavities, provide useful analytical models in applied mechanics and engineering. Applications range from material hardness indentation tests to dynamic penetration of projectiles. Recent advances in deriving analytical solutions for steady state expanding cavities enable the construction of highly accurate formulae for cavitation pressure, accounting for strain hardening and elastic compressibility. For dynamic fields, solutions are described by Mach number (relative to medium wave velocity) power series with coefficients that depend on elastic and plastic moduli. Cylindrical quasi-static cavitation solutions have been obtained for both Mises and Tresca solids.

Received: August 17, 2007

AMS Subject Classification: 74C15

Key Words and Phrases: plasticity, large strains

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3