A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material

DOI10.1016/0165-2125(92)90019-XzbMath0825.73117OpenAlexW2023202166MaRDI QIDQ1205412

Riccardo Fazio

Publication date: 1 April 1993

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(92)90019-x

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Impact in solid mechanics (74M20)

Related Items (10)

The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems ⋮ Blasius problem and Falkner-Skan model: Töpfer's algorithm and its extension ⋮ Numerical transformation methods: A constructive approach ⋮ Riemann invariants-like solutions for a class of rate-type materials ⋮ The iterative transformation method for the Sakiadis problem ⋮ Predictor-feedback stabilization of two-input nonlinear systems with distinct and state-dependent input delays ⋮ Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs ⋮ Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods ⋮ An implicit difference scheme for a moving boundary hyperbolic problem ⋮ A non-iterative transformation method for boundary-layer with power-law viscosity for non-Newtonian fluids

Uses Software

• IMSL Numerical Libraries

Cites Work

• Unnamed Item
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• Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems
• A nonlinear hyperbolic free boundary value problem
• Group theoretic and similarity analysis of hyperbolic partial differential equations
• Similarity representation of wave propagation in a nonlinear viscoelastic rod on a group theoretic basis
• Complete exceptionality, constitutive laws and symmetric form for a nonlinear inelastic rod
• Similarity analysis and nonlinear wave propagation
• Similarity solutions to some non-linear impact problems
• Wave propagation in non-homogeneous thin elastic rods subjected to time dependent stress impact
• Wave propagation in nonhomogeneous thin elastic rods subjected to time-dependent velocity impact
• Similarity and numerical analysis for free boundary value problems^∗
• The formation of a blast wave by a very intense explosion I. Theoretical discussion

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