Nonlocally related PDE systems for one-dimensional nonlinear elastodynamics

DOI10.1007/s10665-008-9221-7zbMath1155.74009OpenAlexW2033937501MaRDI QIDQ1000846

J. Martínez

Publication date: 11 February 2009

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

Full work available at URL: https://doi.org/10.1007/s10665-008-9221-7

zbMATH Keywords

group-invariant solutionsEuler systemLagrange systemprinciple of material frame indifference

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items

A recursion formula for the construction of local conservation laws of differential equations ⋮ Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows ⋮ Relevance of symmetry methods in mechanics of materials ⋮ Similarity: Generalizations, applications and open problems ⋮ Symmetry properties of two-dimensional Ciarlet-Mooney-Rivlin constitutive models in nonlinear elastodynamics ⋮ On locally and nonlocally related potential systems ⋮ Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems ⋮ Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions

Uses Software

• GeM
• LIEPDE
• ApplySym
• ConLaw

Cites Work

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