Riemann invariants-like solutions for a class of rate-type materials

DOI10.1007/BF01183939zbMath0810.73013OpenAlexW2008300329MaRDI QIDQ1341942

Domenico Fusco, Natale Manganaro

Publication date: 11 January 1995

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01183939

zbMATH Keywords

exact solutionshyperbolic modelreduction procedurecharacteristic curves

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Initial value problems for first-order hyperbolic systems (35L45) Theory of constitutive functions in solid mechanics (74A20)

Related Items (5)

Generalized Riemann problems and exact solutions for \(p\)-systems with relaxation ⋮ Simple waves and simple states in \(\mathbb{R}^2\) ⋮ Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs ⋮ Riemann problems and exact solutions to a traffic flow model ⋮ Exact solutions to a nerve pulse transmission model via a reduction procedure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The occurrence of singularities in solutions of homogeneous systems of two first order quasilinear hyperbolic equations with smooth initial data
• Reduction to linear canonical forms and generation of conservation laws for a class of quasilinear hyperbolic systems
• Similarity representation of wave propagation in a nonlinear viscoelastic rod on a group theoretic basis
• On the relationship of AP, RS and CEP in congruence modular varieties
• On a class of quasilinear hyperbolic reducible systems allowing for special wave interactions
• Bäcklund transformations and their applications
• A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material
• Generation of exact solutions to a class of quasilinear hyperbolic models via reduction techniques
• Some exact solutions for wave propagation in viscoelastic, viscoplastic and electrical transmission lines
• Similarity solutions to some non-linear impact problems
• Exact Solutions Describing Soliton-Like Interactions in a Nondispersive Medium
• Some Applications of the Riemann Method to Electromagnetic Wave Propagation in Nonlinear Media
• A class of linearizable models and generation of material response functions to nonlinear hyperbolic heat conduction
• Nonlinear boundary value problems in science and engineering

This page was built for publication: Riemann invariants-like solutions for a class of rate-type materials