Formation of shock waves in hyperelastic solids

DOI10.1007/BF01374966zbMath0298.73032MaRDI QIDQ1214777

Alan Jeffrey, Mevlüt Teymür

Publication date: 1974

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

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Impact in solid mechanics (74M20)

Related Items (9)

On the mathematical and geometrical structure of the determining equations for shear waves in nonlinear isotropic incompressible elastodynamics ⋮ Stable shock formation for nearly simple outgoing plane symmetric waves ⋮ Waves in isotropic dispersive elastic solids ⋮ Acceleration wave propagation in hyperelastic rods of variable cross- section ⋮ 15.—The Propagation of Second-order Lipschitz Discontinuities in Quasi-linear Hyperbolic Systems with Discontinuous Coefficients ⋮ 19.—Propagation of Weak Discontinuities in a Layered Hyperelastic Half-space ⋮ Decay of weak shock waves in hyperelastic solids ⋮ A Note on Nonbreaking Waves in Hyperelastic Materials ⋮ Exceptional waves in hyperelastic material under finite deformations

Cites Work

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• The development of jump discontinuities in nonlinear hyperbolic systems of equations in two independent variables
• Finite amplitude waves in incompressible perfectly elastic materials
• The propagation of weak discontinuities in quasi-linear hyperbolic systems with discontinuous coefficients part II —special cases and application
• ONE-DIMENSIONAL NON-LINEAR WAVE PROPAGATION IN INCOMPRESSIBLE ELASTIC MATERIALS
• THE PROPAGATION AND INTERACTION OF ONE-DIMENSIONAL NON-LINEAR WAVES IN AN INCOMPRESSIBLE ISOTROPIC ELASTIC HALF-SPACE
• FINITE SIMPLE WAVES IN A COMPRESSIBLE TRANSVERSELY ISOTROPIC ELASTIC SOLID
• The propagation of weak discontinuities in quasi-linear hyperbolic systems with discontinuous coefficients part I - fundamental theory^†

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