Similarity solutions and spherical discontinuity waves in hyperelastic materials subject to a non-constant deformation

DOI10.1007/BF01560329zbMath0673.73031OpenAlexW2076525139MaRDI QIDQ1121063

Andrea Donato, Maria Clara Nucci

Publication date: 1988

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01560329

zbMATH Keywords

second order equationfull group analysishomogeneous isotropic hyperelastic material

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Second-order nonlinear hyperbolic equations (35L70) Applications of Lie groups to the sciences; explicit representations (22E70) Other special methods applied to PDEs (35A25)

Cites Work

• Unnamed Item
• On the evolution of weak discontinuities in a state characterized by invariant solutions
• On finite amplitude spherical acceleration waves in homogeneously deformed hyperelastic materials
• Wave features and infinitesimal group analysis for a second order quasilinear equation in conservative form
• Group properties of u//(tt)=[f(u)u//x//x]
• Nonlinear partial differential equations in engineering. Vol. II

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