Invariant solutions and constitutive laws for a nonlinear elastic rod of variable cross-section

DOI10.1007/BF00945085zbMath0595.73017WikidataQ114852805 ScholiaQ114852805MaRDI QIDQ1077963

Carmela Currò, Domenico Fusco

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

variable cross-sectioncross-section everywhere symmetricalgroup properties analysishomogeneous elastic rodincompressible rodinvariance under infinitesimal group of transformations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Theory of constitutive functions in solid mechanics (74A20) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

Linearization of nonautonomous models describing fluid filled elastic tubes and nonlinear elastic rods with variable cross-section ⋮ Similarity solutions and model constitutive laws to viscoelasticity with application to nonlinear wave propagation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group analysis and constitutive laws for fluid filled elastic tubes
• Group properties and invariant solutions for infinitesimal transformations of a non-linear wave equation
• Wave features and infinitesimal group analysis for a second order quasilinear equation in conservative form
• Acceleration wave propagation in hyperelastic rods of variable cross- section
• Bäcklund transformations and their applications
• Group properties of u//(tt)=[f(u)u//x//x]
• Similarity methods for differential equations
• On the similarity solutions of wave propagation for a general class of non-linear dissipative materials
• Some exact solutions for wave propagation in viscoelastic, viscoplastic and electrical transmission lines
• Nonlinear partial differential equations in engineering. Vol. II
• Large amplitude waves in bounded media I. Reflexion and transmission of large amplitude shockless pulses at an interface

This page was built for publication: Invariant solutions and constitutive laws for a nonlinear elastic rod of variable cross-section