An analytical solution for a low velocity impact between a rigid sphere and a transversely isotropic strain-hardening plate supported by a rigid substrate

DOI10.1007/s10665-011-9505-1zbMath1254.74091OpenAlexW2072030740MaRDI QIDQ695555

M. Shariyat, Mir Mohammad Alipour, Rahmatollah Ghajar

Publication date: 21 December 2012

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-011-9505-1

zbMATH Keywords

analytical solutionstrain hardeningimpactindentationhomotopy perturbation methodthin transversely isotropic plate

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Impact in solid mechanics (74M20)

Related Items (3)

A generalized version of a low velocity impact between a rigid sphere and a transversely isotropic strain-hardening plate supported by a rigid substrate using the concept of noninteger derivatives ⋮ Nonlinear eccentric low-velocity impact analysis of a highly prestressed FGM rectangular plate, using a refined contact law ⋮ A micromechanical approach for semi-analytical low-velocity impact analysis of a bidirectional functionally graded circular plate resting on an elastic foundation

Cites Work

• Unnamed Item
• Hertzian contact of orthotropic materials
• Effect of permanent indentation on the delamination threshold for small mass impact on plates
• The homotopy perturbation method for nonlinear oscillators
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation technique
• Thick Composite Plates Subjected to Lateral Loading
• Impact response of orthotropic composite plates predicted from a one-parameter differential equation

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