A general mathematical model for the collision between a free-fall hammer of a pile-driver and an elastic pile

DOI10.1016/J.NONRWA.2009.11.002zbMath1196.35210OpenAlexW2013883824MaRDI QIDQ984582

Út V. Lê

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.11.002

zbMATH Keywords

stabilityregularitywave equationasymptotic expansionwell-posednesscontraction procedurememory boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Asymptotic expansions of solutions to PDEs (35C20) Collision of rigid or pseudo-rigid bodies (70F35) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (2)

A general mathematical model for the collision between a free-fall hammer of a pile-driver and an elastic pile: continuous dependence and low-frequency asymptotic expansion ⋮ A semilinear wave equation with space–time dependent coefficients and a memory boundarylike antiperiodic condition: A low-frequency asymptotic expansion

Cites Work

• On the approximate solution of a mathematical model of a viscoelastic bar
• On a semi-linear wave equation associated with memory conditions at the boundaries: Unique, existence and regularity
• On a semi-linear wave equation associated with memory conditions at the boundaries: Stability and asymptotic expansion
• Existence theorems for systems of nonlinear integro-differential equations
• Global solvability of nonlinear wave equation with a viscoelastic boundary condition
• On a shock problem involving a linear viscoelastic bar
• The stability of solutions of linear differential equations
• Exponential decay of non-linear wave equation with a viscoelastic boundary condition
• Some non-linear evolution equations
• On the mathematical model of a viscoelastic bar
• Mathematical model for a shock problem involving a linear viscoelastic bar
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